Index

A

add_aleatory_samples_to_sample_sheet() (probabilistic.capabilities.sampling.UncertaintyStudy method) add_deterministic_samples_to_sample_sheet() (probabilistic.capabilities.sampling.UncertaintyStudy method) add_deterministic_variables() (probabilistic.capabilities.sampling.UncertaintyStudy method) add_epistemic_samples_to_sample_sheet() (probabilistic.capabilities.sampling.UncertaintyStudy method) add_nominal_values_to_sample_sheet() (probabilistic.capabilities.sampling.UncertaintyStudy method) add_probabilistic_variables() (probabilistic.capabilities.sampling.UncertaintyStudy method) add_sensitivity_samples_to_sample_sheet() (probabilistic.capabilities.sampling.BoundingStudy method) (probabilistic.capabilities.sampling.OneAtATimeSensitivityStudy method)

add_variable_name() (probabilistic.capabilities.sampling.UncertaintyStudy static method) add_variables() (probabilistic.capabilities.sampling.UncertaintyStudy method) APITestCase (class in helpr.tests.unit_tests.test_api) apply_inspection_mitigation() (helpr.physics.api.CrackEvolutionAnalysis method) assemble_failure_assessment_diagram() (helpr.physics.api.CrackEvolutionAnalysis method) assert_is_file() (helpr.tests.unit_tests.test_api.APITestCase method) (helpr.tests.unit_tests.test_plots.PlotsTestCaseBase method) assess_failure_state() (helpr.physics.fracture.FailureAssessment method)

B

BetaDistribution (class in probabilistic.capabilities.uncertainty_definitions)

BoundingStudy (class in probabilistic.capabilities.sampling)

C

calc_a_over_t_criterion_0() (in module helpr.utilities.postprocessing) calc_a_over_t_criterion_1() (in module helpr.utilities.postprocessing) calc_a_over_t_criterion_2() (in module helpr.utilities.postprocessing) calc_air_curve_da() (helpr.physics.crack_growth.CrackGrowth method) calc_air_curve_dn() (helpr.physics.crack_growth.CrackGrowth method) calc_allowable_stress() (helpr.physics.stress_state.GenericStressState method) calc_average_radius() (helpr.physics.pipe.Pipe method) calc_change_in_crack_size() (helpr.physics.crack_growth.CrackGrowth method) calc_code_case_2938_da_higher_k() (helpr.physics.crack_growth.CrackGrowth method) calc_code_case_2938_da_lower_k() (helpr.physics.crack_growth.CrackGrowth method) calc_code_case_2938_dn_higher_k() (helpr.physics.crack_growth.CrackGrowth method) calc_code_case_2938_dn_lower_k() (helpr.physics.crack_growth.CrackGrowth method) calc_da_code_case_2938() (helpr.physics.crack_growth.CrackGrowth method) calc_da_paris_law() (helpr.physics.crack_growth.CrackGrowth method) calc_delta_k() (helpr.physics.cycle_evolution.CycleEvolution method) calc_delta_n() (helpr.physics.crack_growth.CrackGrowth method) calc_derived_quantities() (helpr.physics.environment.EnvironmentSpecification method) calc_dn_code_case_2938() (helpr.physics.crack_growth.CrackGrowth method) calc_dn_paris_law() (helpr.physics.crack_growth.CrackGrowth method) calc_f() (helpr.physics.stress_state.GenericStressState method) (helpr.physics.stress_state.InternalCircumferentialLongitudinalStress method) calc_fugacity() (helpr.physics.environment.EnvironmentSpecification method) calc_fugacity_coefficient() (helpr.physics.environment.EnvironmentSpecification static method) calc_fugacity_correction() (helpr.physics.crack_growth.CrackGrowth method) calc_fugacity_ratio() (helpr.physics.environment.EnvironmentSpecification method) calc_G_parameters_finite_length() (helpr.physics.stress_state.InternalAxialHoopStress method) calc_hoop_stress() (helpr.physics.stress_state.GenericStressState method) calc_initial_crack_depth() (helpr.physics.stress_state.GenericStressState method) calc_inner_diameter() (helpr.physics.pipe.Pipe method) calc_k_max_f_q() (helpr.physics.cycle_evolution.CycleEvolution method) calc_k_solution_finite_length_part_through_flaw_api() (helpr.physics.stress_state.InternalAxialHoopStress method) calc_k_solution_finite_length_part_through_internal_flaw() (helpr.physics.stress_state.InternalAxialHoopStress method) calc_k_solution_long_part_through_flaw_api() (helpr.physics.stress_state.InternalAxialHoopStress method) calc_k_solution_long_part_through_internal_flaw() (helpr.physics.stress_state.InternalAxialHoopStress method) calc_life_assessment() (helpr.physics.cycle_evolution.CycleEvolution method) calc_longitudinal_stress() (helpr.physics.stress_state.GenericStressState method) calc_number_of_variables() (probabilistic.capabilities.sampling.UncertaintyStudy static method) calc_pipe_life_criteria() (in module helpr.utilities.postprocessing) calc_q() (helpr.physics.stress_state.GenericStressState method) calc_r_ratio() (helpr.physics.environment.EnvironmentSpecification method) calc_ref_stress_api() (helpr.physics.stress_state.InternalAxialHoopStress method) calc_remaining_wall_thickness() (helpr.physics.stress_state.GenericStressState method) calc_stress_intensity_factor() (helpr.physics.stress_state.GenericStressState method) (helpr.physics.stress_state.InternalAxialHoopStress method) (helpr.physics.stress_state.InternalCircumferentialLongitudinalStress method) calc_stress_solution() (helpr.physics.stress_state.GenericStressState method) (helpr.physics.stress_state.InternalAxialHoopStress method) (helpr.physics.stress_state.InternalCircumferentialLongitudinalStress method)

calc_t_over_r() (helpr.physics.pipe.Pipe method) calc_total_number_of_variables() (probabilistic.capabilities.sampling.UncertaintyStudy method) calc_toughness_ratio_api() (helpr.physics.fracture.FailureAssessment method) calculate_crack_evolution_error() (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) calculate_error_metrics() (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) calculate_failure_assessment() (in module helpr.utilities.postprocessing) capitalize_rules() (helpr.physics.api.CrackEvolutionAnalysis static method) change_a_over_t_step_size() (helpr.physics.cycle_evolution.CycleEvolution static method) check_anderson_solution_assumptions() (helpr.physics.stress_state.InternalAxialHoopStress method) check_api_solution_assumptions() (helpr.physics.stress_state.InternalAxialHoopStress method) check_for_units() (helpr.physics.api.CrackEvolutionAnalysis static method) check_initial_stress_criteria() (helpr.physics.stress_state.GenericStressState method) check_parameter_names() (helpr.physics.api.CrackEvolutionAnalysis method) check_size() (helpr.utilities.parameter.Parameter static method) check_stopping_criteria() (helpr.physics.cycle_evolution.CycleEvolution method) clean_results_names() (helpr.physics.api.CrackEvolutionAnalysis method) collect_intermediate_variables() (helpr.physics.api.CrackEvolutionAnalysis method) collect_variable_nominal_values() (probabilistic.capabilities.sampling.UncertaintyStudy static method) collect_variables() (probabilistic.capabilities.sampling.LHSStudy method) (probabilistic.capabilities.sampling.OneAtATimeSensitivityStudy method) (probabilistic.capabilities.sampling.RandomStudy method) compute_cycle_at() (helpr.physics.cycle_evolution.CycleEvolution method) compute_cycle_n() (helpr.physics.cycle_evolution.CycleEvolution method) convert_in_to_m() (in module helpr.utilities.unit_conversion) convert_ksi_to_mpa() (in module helpr.utilities.unit_conversion) convert_psi_to_mpa() (in module helpr.utilities.unit_conversion) crack_growth (helpr.physics.cycle_evolution.CycleEvolution attribute) crack_growth_model (helpr.physics.api.CrackEvolutionAnalysis attribute) crack_growth_plot (helpr.physics.api.CrackEvolutionAnalysis attribute) CrackEvolutionAnalysis (class in helpr.physics.api) CrackGrowth (class in helpr.physics.crack_growth) CrackGrowthTestCase (class in helpr.tests.unit_tests.test_crack_growth) CrackInitiationTestCase (class in helpr.tests.unit_tests.test_crack_initiation) create_clean_cycle() (helpr.physics.cycle_evolution.CycleEvolution method) create_cycle_dict() (helpr.physics.cycle_evolution.CycleEvolution method) create_variable_nominal_sheet() (probabilistic.capabilities.sampling.UncertaintyStudy method) create_variable_sample_sheet() (probabilistic.capabilities.sampling.LHSStudy method) (probabilistic.capabilities.sampling.OneAtATimeSensitivityStudy method) (probabilistic.capabilities.sampling.RandomStudy method) cycle (helpr.physics.cycle_evolution.CycleEvolution attribute) cycle_dict (helpr.physics.cycle_evolution.CycleEvolution attribute) cycle_step (helpr.physics.api.CrackEvolutionAnalysis attribute) CycleEvolution (class in helpr.physics.cycle_evolution) CycleEvolutionTestCase (class in helpr.tests.unit_tests.test_cycle_evolution)

D

defect_specification (helpr.physics.cycle_evolution.CycleEvolution attribute) (helpr.physics.stress_state.GenericStressState attribute) DefectSpecification (class in helpr.physics.crack_initiation) delta_a (helpr.physics.crack_growth.CrackGrowth attribute) delta_k (helpr.physics.crack_growth.CrackGrowth attribute) delta_n (helpr.physics.crack_growth.CrackGrowth attribute)

detection_resolution (helpr.physics.inspection_mitigation.InspectionMitigation attribute) determine_inspection_indices() (helpr.physics.inspection_mitigation.InspectionMitigation method) determine_inspection_schedule() (helpr.physics.inspection_mitigation.InspectionMitigation method) determine_total_sample_size() (probabilistic.capabilities.sampling.BoundingStudy method) (probabilistic.capabilities.sampling.OneAtATimeSensitivityStudy method) DeterministicCharacterization (class in probabilistic.capabilities.uncertainty_definitions) divide_by_dataframe() (in module helpr.utilities.parameter)

E

ecdf() (in module helpr.utilities.plots) ensure_array() (helpr.utilities.parameter.Parameter static method) environment_specification (helpr.physics.crack_growth.CrackGrowth attribute) (helpr.physics.cycle_evolution.CycleEvolution attribute) (helpr.physics.stress_state.GenericStressState attribute) EnvironmentSpecification (class in helpr.physics.environment)

EnvironmentTestCase (class in helpr.tests.unit_tests.test_environment) error_check_for_distributions_and_sample_size() (probabilistic.capabilities.sampling.UncertaintyStudy method) error_check_for_distributions_if_sample_size() (probabilistic.capabilities.sampling.UncertaintyStudy method) error_check_for_variable_unique_variable_names() (probabilistic.capabilities.sampling.UncertaintyStudy method) ex_rates_plot (helpr.physics.api.CrackEvolutionAnalysis attribute) execute_crack_growth_analysis() (helpr.physics.api.CrackEvolutionAnalysis method)

F

failure_assessment_diagram_equation() (in module helpr.utilities.plots) FailureAssessment (class in helpr.physics.fracture) filter_failure_assessment_data() (in module helpr.utilities.plots) flaw_depth (helpr.physics.crack_initiation.DefectSpecification attribute) flaw_length (helpr.physics.crack_initiation.DefectSpecification attribute)

fracture_resistance (helpr.physics.fracture.FailureAssessment attribute) (helpr.physics.material.MaterialSpecification attribute) FractureTestCase (class in helpr.tests.unit_tests.test_fracture) fugacity (helpr.physics.environment.EnvironmentSpecification attribute) fugacity_ratio (helpr.physics.environment.EnvironmentSpecification attribute)

G

gather_single_crack_cycle_evolution() (helpr.physics.api.CrackEvolutionAnalysis method) gen_random_seed() (helpr.physics.api.CrackEvolutionAnalysis method) generate_cdf_samples() (probabilistic.capabilities.sampling.BoundingStudy method) (probabilistic.capabilities.sampling.OneAtATimeSensitivityStudy method) generate_crack_growth_rate_plot() (in module helpr.utilities.plots) generate_input_parameter_plots() (helpr.physics.api.CrackEvolutionAnalysis method) generate_lhs_samples() (probabilistic.capabilities.sampling.UncertaintyStudy method) generate_pipe_life_assessment_plot() (in module helpr.utilities.plots) generate_probabilistic_results_plots() (helpr.physics.api.CrackEvolutionAnalysis method) generate_samples() (probabilistic.capabilities.uncertainty_definitions.DeterministicCharacterization method) (probabilistic.capabilities.uncertainty_definitions.TruncatedLognormalDistribution method) (probabilistic.capabilities.uncertainty_definitions.UncertaintyCharacterization method) GenericStressState (class in helpr.physics.stress_state)

get_design_curve() (in module helpr.physics.crack_growth) get_design_curve_plot() (helpr.physics.api.CrackEvolutionAnalysis method) get_parameter_names() (probabilistic.capabilities.sampling.UncertaintyStudy method) get_random_seed() (helpr.physics.api.CrackEvolutionAnalysis method) get_single_crack_growth_model() (helpr.physics.crack_growth.CrackGrowth method) get_single_defect() (helpr.physics.crack_initiation.DefectSpecification method) get_single_environment() (helpr.physics.environment.EnvironmentSpecification method) get_single_material() (helpr.physics.material.MaterialSpecification method) get_single_pipe() (helpr.physics.pipe.Pipe method) get_single_stress_state() (helpr.physics.stress_state.GenericStressState method) get_time_str() (in module helpr.utilities.plots) get_total_double_loop_sample_size() (probabilistic.capabilities.sampling.UncertaintyStudy method) get_uncertain_parameter_names() (probabilistic.capabilities.sampling.UncertaintyStudy method) get_variable_units() (in module helpr.utilities.unit_conversion)

H

helpr.physics.api module helpr.physics.crack_growth module helpr.physics.crack_initiation module helpr.physics.cycle_evolution module helpr.physics.environment module helpr.physics.fracture module helpr.physics.inspection_mitigation module helpr.physics.material module helpr.physics.pipe module helpr.physics.stress_state module helpr.tests.unit_tests.test_api module helpr.tests.unit_tests.test_crack_growth module helpr.tests.unit_tests.test_crack_initiation module helpr.tests.unit_tests.test_cycle_evolution module

helpr.tests.unit_tests.test_environment module helpr.tests.unit_tests.test_fracture module helpr.tests.unit_tests.test_inspection_mitigation module helpr.tests.unit_tests.test_material module helpr.tests.unit_tests.test_parameter module helpr.tests.unit_tests.test_pipe module helpr.tests.unit_tests.test_plots module helpr.tests.unit_tests.test_postprocessing module helpr.tests.unit_tests.test_stress_state module helpr.tests.verification_tests.test_verification_crack_growth_rate module helpr.utilities.parameter module helpr.utilities.plots module helpr.utilities.postprocessing module helpr.utilities.unit_conversion module

I

initial_crack_depth (helpr.physics.stress_state.GenericStressState attribute) initialize_c() (helpr.physics.cycle_evolution.CycleEvolution method) initialize_cycle_dict() (helpr.physics.cycle_evolution.CycleEvolution method) initiate_plot_settings() (in module probabilistic.capabilities.plotting) inner_diameter (helpr.physics.pipe.Pipe attribute) inspect_crack() (in module helpr.physics.inspection_mitigation) inspect_then_mitigate() (helpr.physics.inspection_mitigation.InspectionMitigation method)

inspection_frequency (helpr.physics.inspection_mitigation.InspectionMitigation attribute) InspectionMitigation (class in helpr.physics.inspection_mitigation) InspectionMitigationTestCase (class in helpr.tests.unit_tests.test_inspection_mitigation) InternalAxialHoopStress (class in helpr.physics.stress_state) InternalAxialHoopStressTestCase (class in helpr.tests.unit_tests.test_stress_state) InternalCircumferentialLongitudinalStress (class in helpr.physics.stress_state) interp_table_parameters() (helpr.physics.stress_state.InternalAxialHoopStress method)

L

LHSStudy (class in probabilistic.capabilities.sampling) life_criteria (helpr.physics.api.CrackEvolutionAnalysis attribute) load_api_tables() (helpr.physics.stress_state.InternalAxialHoopStress method)

load_cycling (helpr.physics.api.CrackEvolutionAnalysis attribute) location_factor (helpr.physics.crack_initiation.DefectSpecification attribute) LognormalDistribution (class in probabilistic.capabilities.uncertainty_definitions)

M

material_specification (helpr.physics.cycle_evolution.CycleEvolution attribute) (helpr.physics.stress_state.GenericStressState attribute) MaterialSpecification (class in helpr.physics.material) MaterialTestCase (class in helpr.tests.unit_tests.test_material) max_cycles (helpr.physics.api.CrackEvolutionAnalysis attribute) max_pressure (helpr.physics.environment.EnvironmentSpecification attribute) min_pressure (helpr.physics.environment.EnvironmentSpecification attribute) mitigate_crack() (in module helpr.physics.inspection_mitigation) model_arguments (helpr.physics.crack_growth.CrackGrowth attribute) module helpr.physics.api helpr.physics.crack_growth helpr.physics.crack_initiation helpr.physics.cycle_evolution helpr.physics.environment helpr.physics.fracture helpr.physics.inspection_mitigation helpr.physics.material helpr.physics.pipe helpr.physics.stress_state helpr.tests.unit_tests.test_api helpr.tests.unit_tests.test_crack_growth helpr.tests.unit_tests.test_crack_initiation helpr.tests.unit_tests.test_cycle_evolution helpr.tests.unit_tests.test_environment helpr.tests.unit_tests.test_fracture helpr.tests.unit_tests.test_inspection_mitigation helpr.tests.unit_tests.test_material helpr.tests.unit_tests.test_parameter helpr.tests.unit_tests.test_pipe helpr.tests.unit_tests.test_plots helpr.tests.unit_tests.test_postprocessing helpr.tests.unit_tests.test_stress_state helpr.tests.verification_tests.test_verification_crack_growth_rate helpr.utilities.parameter helpr.utilities.plots helpr.utilities.postprocessing helpr.utilities.unit_conversion probabilistic.capabilities.plotting probabilistic.capabilities.sampling probabilistic.capabilities.uncertainty_definitions probabilistic.tests.test_plotting probabilistic.tests.test_sampling probabilistic.tests.test_uncertainty_definitions

N

nominal_input_parameter_values (helpr.physics.api.CrackEvolutionAnalysis attribute) nominal_life_criteria (helpr.physics.api.CrackEvolutionAnalysis attribute) nominal_load_cycling (helpr.physics.api.CrackEvolutionAnalysis attribute) nominal_stress_state (helpr.physics.api.CrackEvolutionAnalysis attribute)

NormalDistribution (class in probabilistic.capabilities.uncertainty_definitions) number_of_aleatory_samples (helpr.physics.api.CrackEvolutionAnalysis attribute) number_of_epistemic_samples (helpr.physics.api.CrackEvolutionAnalysis attribute) number_of_pipe_instances (helpr.physics.cycle_evolution.CycleEvolution attribute)

O

OneAtATimeSensitivityStudy (class in probabilistic.capabilities.sampling)

open_nc_table() (helpr.physics.stress_state.InternalAxialHoopStress method) outer_diameter (helpr.physics.pipe.Pipe attribute)

P

parallel_interpolation_list_pts() (in module helpr.utilities.postprocessing) parallel_interpolation_single_pt() (in module helpr.utilities.postprocessing) Parameter (class in helpr.utilities.parameter) parameter_bounds_check() (helpr.utilities.parameter.Parameter static method) ParameterTestCase (class in helpr.tests.unit_tests.test_parameter) path (in module helpr.physics.fracture) perform_deterministic_study() (helpr.physics.api.CrackEvolutionAnalysis method) perform_probabilistic_study() (helpr.physics.api.CrackEvolutionAnalysis method) perform_study() (helpr.physics.api.CrackEvolutionAnalysis method) Pipe (class in helpr.physics.pipe) pipe_avg_radius (helpr.physics.pipe.Pipe attribute) pipe_specification (helpr.physics.cycle_evolution.CycleEvolution attribute) (helpr.physics.stress_state.GenericStressState attribute) PipeTestCase (class in helpr.tests.unit_tests.test_pipe) plot_cycle_life_cdf_ci() (in module helpr.utilities.plots) plot_cycle_life_cdfs() (in module helpr.utilities.plots) plot_cycle_life_criteria_scatter() (in module helpr.utilities.plots) plot_cycle_life_pdfs() (in module helpr.utilities.plots) plot_det_design_curve() (in module helpr.utilities.plots) plot_deterministic_parameter_value() (in module probabilistic.capabilities.plotting) plot_distribution() (probabilistic.capabilities.uncertainty_definitions.DeterministicCharacterization method) (probabilistic.capabilities.uncertainty_definitions.TruncatedLognormalDistribution method) (probabilistic.capabilities.uncertainty_definitions.UncertaintyCharacterization method) plot_distribution_pdf() (in module probabilistic.capabilities.plotting) plot_failure_assessment_diagram() (in module helpr.utilities.plots) plot_log_hist() (in module helpr.utilities.plots) plot_mitigation_histograms() (in module helpr.utilities.plots)

plot_pipe_life_ensemble() (in module helpr.utilities.plots) plot_sample_cdf() (in module probabilistic.capabilities.plotting) plot_sample_histogram() (in module probabilistic.capabilities.plotting) plot_scatter_matrix() (in module probabilistic.capabilities.plotting) plot_sensitivity_results() (in module helpr.utilities.plots) plot_unscaled_mitigation_cdf() (in module helpr.utilities.plots) PlotsTestCase (class in helpr.tests.unit_tests.test_plots) PlotsTestCaseBase (class in helpr.tests.unit_tests.test_plots) PlottingTestCase (class in probabilistic.tests.test_plotting) postprocess_single_crack_results() (helpr.physics.api.CrackEvolutionAnalysis method) PostProcessingTestCase (class in helpr.tests.unit_tests.test_postprocessing) ppf() (probabilistic.capabilities.uncertainty_definitions.TruncatedLognormalDistribution method) (probabilistic.capabilities.uncertainty_definitions.UncertaintyCharacterization method) print_nominal_intermediate_variables() (helpr.physics.api.CrackEvolutionAnalysis method) probabilistic.capabilities.plotting module probabilistic.capabilities.sampling module probabilistic.capabilities.uncertainty_definitions module probabilistic.tests.test_plotting module probabilistic.tests.test_sampling module probabilistic.tests.test_uncertainty_definitions module probability_of_detection (helpr.physics.inspection_mitigation.InspectionMitigation attribute)

R

r_ratio (helpr.physics.environment.EnvironmentSpecification attribute) random_seed (helpr.physics.api.CrackEvolutionAnalysis attribute) RandomStudy (class in probabilistic.capabilities.sampling) reference_fugacity (helpr.physics.environment.EnvironmentSpecification attribute) reference_pressure (helpr.physics.environment.EnvironmentSpecification attribute) relevant_error_checks() (probabilistic.capabilities.sampling.BoundingStudy method) (probabilistic.capabilities.sampling.LHSStudy method) (probabilistic.capabilities.sampling.OneAtATimeSensitivityStudy method) (probabilistic.capabilities.sampling.RandomStudy method) (probabilistic.capabilities.sampling.SensitivityStudy method) (probabilistic.capabilities.sampling.UncertaintyStudy method)

report_single_cycle_evolution() (in module helpr.utilities.postprocessing) report_single_pipe_life_criteria_results() (in module helpr.utilities.postprocessing) rm_tree() (helpr.tests.unit_tests.test_api.APITestCase method)

S

sample_size (helpr.physics.crack_growth.CrackGrowth attribute) sample_type (helpr.physics.api.CrackEvolutionAnalysis attribute) sampling_input_parameter_values (helpr.physics.api.CrackEvolutionAnalysis attribute) SamplingTestCase (class in probabilistic.tests.test_sampling) save_deterministic_results() (helpr.physics.api.CrackEvolutionAnalysis method) save_parameter_characterizations() (helpr.physics.api.CrackEvolutionAnalysis method) save_probabilistic_results() (helpr.physics.api.CrackEvolutionAnalysis method) save_results() (helpr.physics.api.CrackEvolutionAnalysis method) selecting_a_over_t_step_size() (helpr.physics.cycle_evolution.CycleEvolution method) SensitivityStudy (class in probabilistic.capabilities.sampling) set_random_state() (helpr.physics.api.CrackEvolutionAnalysis method) setUp() (helpr.tests.unit_tests.test_api.APITestCase method) (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) (helpr.tests.unit_tests.test_crack_initiation.CrackInitiationTestCase method) (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) (helpr.tests.unit_tests.test_environment.EnvironmentTestCase method) (helpr.tests.unit_tests.test_fracture.FractureTestCase method) (helpr.tests.unit_tests.test_inspection_mitigation.InspectionMitigationTestCase method) (helpr.tests.unit_tests.test_material.MaterialTestCase method) (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) (helpr.tests.unit_tests.test_pipe.PipeTestCase method) (helpr.tests.unit_tests.test_plots.PlotsTestCase method) (helpr.tests.unit_tests.test_postprocessing.PostProcessingTestCase method) (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) (helpr.tests.unit_tests.test_stress_state.StressStateTestCase method) (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) (probabilistic.tests.test_plotting.PlottingTestCase method) (probabilistic.tests.test_sampling.SamplingTestCase method) (probabilistic.tests.test_uncertainty_definitions.UncertaintyDefinitionTestCase method)

setup_crack_growth_analysis() (helpr.physics.api.CrackEvolutionAnalysis method) setup_deterministic_study() (helpr.physics.api.CrackEvolutionAnalysis method) setup_probabilistic_study() (helpr.physics.api.CrackEvolutionAnalysis method) setup_study() (helpr.physics.api.CrackEvolutionAnalysis method) specify_distribution() (in module probabilistic.capabilities.uncertainty_definitions) specify_study() (helpr.physics.api.CrackEvolutionAnalysis static method) step_through_cycles() (helpr.physics.cycle_evolution.CycleEvolution method) stress_intensity_method (helpr.physics.stress_state.GenericStressState attribute) stress_state (helpr.physics.api.CrackEvolutionAnalysis attribute) (helpr.physics.cycle_evolution.CycleEvolution attribute) StressStateTestCase (class in helpr.tests.unit_tests.test_stress_state) subtract_dataframe() (in module helpr.utilities.parameter) surface (helpr.physics.crack_initiation.DefectSpecification attribute)

T

tearDown() (helpr.tests.unit_tests.test_api.APITestCase method) (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) (helpr.tests.unit_tests.test_crack_initiation.CrackInitiationTestCase method) (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) (helpr.tests.unit_tests.test_environment.EnvironmentTestCase method) (helpr.tests.unit_tests.test_fracture.FractureTestCase method) (helpr.tests.unit_tests.test_inspection_mitigation.InspectionMitigationTestCase method) (helpr.tests.unit_tests.test_material.MaterialTestCase method) (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) (helpr.tests.unit_tests.test_pipe.PipeTestCase method) (helpr.tests.unit_tests.test_plots.PlotsTestCase method) (helpr.tests.unit_tests.test_postprocessing.PostProcessingTestCase method) (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) (probabilistic.tests.test_plotting.PlottingTestCase method) (probabilistic.tests.test_sampling.SamplingTestCase method) (probabilistic.tests.test_uncertainty_definitions.UncertaintyDefinitionTestCase method) temperature (helpr.physics.environment.EnvironmentSpecification attribute) test_0pct_h2() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_100pct_h2() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_above_bounds() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_api_bounding_sensitivity_study() (helpr.tests.unit_tests.test_api.APITestCase method) test_api_lhs_sensitivity_study() (helpr.tests.unit_tests.test_api.APITestCase method) test_api_nominal_evaluations() (helpr.tests.unit_tests.test_api.APITestCase method) test_api_scalar_inputs() (helpr.tests.unit_tests.test_api.APITestCase method) test_api_uncertain_inputs() (helpr.tests.unit_tests.test_api.APITestCase method) test_array_input() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) (helpr.tests.unit_tests.test_environment.EnvironmentTestCase method) (helpr.tests.unit_tests.test_pipe.PipeTestCase method) test_array_inputs() (helpr.tests.unit_tests.test_crack_initiation.CrackInitiationTestCase method) test_assessment_primaryOnly() (helpr.tests.unit_tests.test_fracture.FractureTestCase method) test_assessment_withSecondary() (helpr.tests.unit_tests.test_fracture.FractureTestCase method) test_axial_hoop_stress_check() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_axial_hoop_stress_state_specification() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_bad_crack_growth_model_specifications() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_bad_delta_c_rule_specification() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_bad_delta_c_rule_specification_list() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_bad_pipe_size() (helpr.tests.unit_tests.test_pipe.PipeTestCase method) test_bad_size_specification() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_bad_study_type_specification() (helpr.tests.unit_tests.test_api.APITestCase method) test_bad_surface_specification() (helpr.tests.unit_tests.test_crack_initiation.CrackInitiationTestCase method) test_below_bounds() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_bounding_sensitivity_study() (probabilistic.tests.test_sampling.SamplingTestCase method) test_calc_G_parameters_finite_length_full_depth() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_calc_G_parameters_finite_length_other_point() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_calc_G_parameters_finite_length_surface() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_calc_life_assessment_w_cycle_step() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_calc_life_assessment_w_max() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_calc_life_assessment_w_max_overridden() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_calc_pipe_life_criteria_default_a_crit() (helpr.tests.unit_tests.test_postprocessing.PostProcessingTestCase method) test_calc_pipe_life_criteria_hydrogen_impact() (helpr.tests.unit_tests.test_postprocessing.PostProcessingTestCase method) test_calc_pipe_life_criteria_typical() (helpr.tests.unit_tests.test_postprocessing.PostProcessingTestCase method) test_check_anderson_solution_assumptions_a_over_t_violation() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_check_anderson_solution_assumptions_r_i_over_t_violation() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_check_api_solution_assumptions_a_over_t_violation() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_circumferential_longitudinal_stress_check() (helpr.tests.unit_tests.test_stress_state.StressStateTestCase method) test_circumferential_longitudinal_stress_intensity_factor() (helpr.tests.unit_tests.test_stress_state.StressStateTestCase method) test_circumferential_longitudinal_stress_state_specification() (helpr.tests.unit_tests.test_stress_state.StressStateTestCase method) test_crack_evolution_plotting() (helpr.tests.unit_tests.test_postprocessing.PostProcessingTestCase method) test_crack_growth_rate_plot() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_crack_inspection() (helpr.tests.unit_tests.test_inspection_mitigation.InspectionMitigationTestCase method) test_crack_mitigation() (helpr.tests.unit_tests.test_inspection_mitigation.InspectionMitigationTestCase method) test_create_failure_assessment_diagram() (helpr.tests.unit_tests.test_api.APITestCase method) test_create_input_parameter_plots() (helpr.tests.unit_tests.test_api.APITestCase method) test_create_probabilistic_plots() (helpr.tests.unit_tests.test_api.APITestCase method) test_cycle_life_cdf_ci() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_cycle_life_cdfs() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_cycle_life_criteria_scatter_plot_color_by_variable() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_cycle_life_criteria_scatter_plot_no_color_by_variable() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_cycle_life_pdf() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_dataset_1() (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) test_dataset_2() (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) test_dataset_3() (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method) test_default() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) (helpr.tests.unit_tests.test_crack_initiation.CrackInitiationTestCase method) (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) (helpr.tests.unit_tests.test_material.MaterialTestCase method) (helpr.tests.unit_tests.test_parameter.ParameterTestCase method)

test_design_curve_function() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_design_curve_plot() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_determine_inspection_schedule() (helpr.tests.unit_tests.test_inspection_mitigation.InspectionMitigationTestCase method) test_deterministic_parameter_specification() (probabilistic.tests.test_sampling.SamplingTestCase method) test_distribution_pdf_plotting() (probabilistic.tests.test_uncertainty_definitions.UncertaintyDefinitionTestCase method) test_distribution_specification_function() (probabilistic.tests.test_uncertainty_definitions.UncertaintyDefinitionTestCase method) test_distributions_with_same_name() (probabilistic.tests.test_sampling.SamplingTestCase method) test_failure_assessment_diagram_anderson() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_failure_assessment_diagram_api() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_fixed_c() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_fugacity_ratio() (helpr.tests.unit_tests.test_environment.EnvironmentTestCase method) test_generating_intermediate_variables() (helpr.tests.unit_tests.test_api.APITestCase method) test_generic_stress_state_specification() (helpr.tests.unit_tests.test_stress_state.StressStateTestCase method) test_get_single_stress_state() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_h2_volume_fraction() (helpr.tests.unit_tests.test_environment.EnvironmentTestCase method) test_histogram_plotting() (probabilistic.tests.test_plotting.PlottingTestCase method) test_incorrect_parameter_name() (helpr.tests.unit_tests.test_api.APITestCase method) test_incorrect_uncertainty_type_specified() (probabilistic.tests.test_sampling.SamplingTestCase method) test_independent_c() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_independent_c_list() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_input_types() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_inspection_indices() (helpr.tests.unit_tests.test_inspection_mitigation.InspectionMitigationTestCase method) test_inspection_mitigation_plots() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_inspection_mitigation_results() (helpr.tests.unit_tests.test_api.APITestCase method) test_interp_table_parameters_Table_9B10_matrix_inputs() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_Table_9B10_single_inputs_external() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_Table_9B10_single_inputs_internal() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_Table_9B12_matrix_inputs() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_Table_9B12_single_inputs() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_Table_9B13_matrix_inputs() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_Table_9B13_single_inputs() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_interp_table_parameters_vector_lengths_not_matching() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_invalid_fugacity_correction_case() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_lhs_random_seed_specification() (probabilistic.tests.test_sampling.SamplingTestCase method) test_lhs_sampling_study() (probabilistic.tests.test_sampling.SamplingTestCase method) test_life_assessment_ensemble_plot() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_list_above_bounds() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_list_below_bounds() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_make_array() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_monte_carlo_random_seed_specification() (probabilistic.tests.test_sampling.SamplingTestCase method) test_no_aleatory_samples_specified() (probabilistic.tests.test_sampling.SamplingTestCase method) test_no_aleatory_variable_specified() (probabilistic.tests.test_sampling.SamplingTestCase method) test_no_aleatory_variables() (probabilistic.tests.test_sampling.SamplingTestCase method) test_no_epistemic_samples_specified() (probabilistic.tests.test_sampling.SamplingTestCase method) test_no_epistemic_variable_specified() (probabilistic.tests.test_sampling.SamplingTestCase method) test_no_epistemic_variables() (probabilistic.tests.test_sampling.SamplingTestCase method) test_one_at_a_time_sensitivity_study() (probabilistic.tests.test_sampling.SamplingTestCase method) test_parameter_information_extraction() (probabilistic.tests.test_uncertainty_definitions.UncertaintyDefinitionTestCase method) test_passed_list() (helpr.tests.unit_tests.test_parameter.ParameterTestCase method) test_pdf_plotting() (probabilistic.tests.test_plotting.PlottingTestCase method) test_pipe_life_assessment_plot() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_plot_scatter_matrix() (probabilistic.tests.test_plotting.PlottingTestCase method) test_print_intermediate_variables() (helpr.tests.unit_tests.test_api.APITestCase method) test_proportional_c() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_proportional_c_list() (helpr.tests.unit_tests.test_cycle_evolution.CycleEvolutionTestCase method) test_r_ratio() (helpr.tests.unit_tests.test_environment.EnvironmentTestCase method) test_random_sampling_study() (probabilistic.tests.test_sampling.SamplingTestCase method) test_ref_stress_api() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_reload_random_seed() (helpr.tests.unit_tests.test_api.APITestCase method) test_sample_uncertainty_definition() (probabilistic.tests.test_uncertainty_definitions.UncertaintyDefinitionTestCase method) test_save_deterministic_results() (helpr.tests.unit_tests.test_api.APITestCase method) test_save_probabilistic_results() (helpr.tests.unit_tests.test_api.APITestCase method) test_sensitivity_results_plot() (helpr.tests.unit_tests.test_plots.PlotsTestCase method) test_sensitivity_study() (probabilistic.tests.test_sampling.SamplingTestCase method) test_simple_calcs() (helpr.tests.unit_tests.test_pipe.PipeTestCase method) test_single_instance() (helpr.tests.unit_tests.test_material.MaterialTestCase method) test_specify_paris_law_crack_growth() (helpr.tests.unit_tests.test_crack_growth.CrackGrowthTestCase method) test_specifying_random_seed() (helpr.tests.unit_tests.test_api.APITestCase method) test_stress_intensity_factor_anderson_external() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_stress_intensity_factor_anderson_internal() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_stress_intensity_factor_api_external() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_stress_intensity_factor_api_internal() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) test_stress_intensity_factor_invalid_method() (helpr.tests.unit_tests.test_stress_state.InternalAxialHoopStressTestCase method) TruncatedLognormalDistribution (class in probabilistic.capabilities.uncertainty_definitions) TruncatedNormalDistribution (class in probabilistic.capabilities.uncertainty_definitions)

U

uncertain_parameters (helpr.physics.api.CrackEvolutionAnalysis attribute) UncertaintyCharacterization (class in probabilistic.capabilities.uncertainty_definitions) UncertaintyDefinitionTestCase (class in probabilistic.tests.test_uncertainty_definitions) UncertaintyStudy (class in probabilistic.capabilities.sampling) UniformDistribution (class in probabilistic.capabilities.uncertainty_definitions) update_a() (helpr.physics.cycle_evolution.CycleEvolution method) update_a_over_t() (helpr.physics.cycle_evolution.CycleEvolution method)

update_c() (helpr.physics.cycle_evolution.CycleEvolution method) update_c_through_delta_k() (helpr.physics.cycle_evolution.CycleEvolution method) update_cycle_dict() (helpr.physics.cycle_evolution.CycleEvolution method) update_delta_a() (helpr.physics.cycle_evolution.CycleEvolution method) update_delta_k() (helpr.physics.cycle_evolution.CycleEvolution method) update_delta_n() (helpr.physics.cycle_evolution.CycleEvolution method) update_k_max_f_q() (helpr.physics.cycle_evolution.CycleEvolution method) update_total_cycles() (helpr.physics.cycle_evolution.CycleEvolution method)

V

verification_raw_comparison_plot() (helpr.tests.verification_tests.test_verification_crack_growth_rate.VerificationCrackGrowth method)

VerificationCrackGrowth (class in helpr.tests.verification_tests.test_verification_crack_growth_rate) volume_fraction_h2 (helpr.physics.environment.EnvironmentSpecification attribute)

W

wall_thickness (helpr.physics.pipe.Pipe attribute)

Y

yield_strength (helpr.physics.material.MaterialSpecification attribute)

yield_stress (helpr.physics.fracture.FailureAssessment attribute)