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An improved critical plane and cycle counting method to assess damage under variable amplitude multiaxial fatigue loading

https://doi.org/10.1111/ffe.13281
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Mathematical Analysis of Random Noise
inferredcites →https://doi.org/10.1002/mawe.200300692openalex-snapshot
Comparison of different methods for presenting variable amplitude loading fatigue results
inferredcites →https://doi.org/10.1007/978-1-4471-0139-0openalex-snapshot
Statistical Signal Processing: Modelling and Estimation
inferredcites →https://doi.org/10.1007/bf00940464openalex-snapshot
Efficient generalized conjugate gradient algorithms, part 1: Theory
inferredcites →https://doi.org/10.1007/s10704-005-1088-2openalex-snapshot
A Review of Critical Plane Orientations in Multiaxial Fatigue Failure Criteria of Metallic Materials
inferredcites →https://doi.org/10.1016/0142-1123(82)90018-4openalex-snapshot
Simple rainflow counting algorithms
inferredcites →https://doi.org/10.1016/0142-1123(89)90433-7openalex-snapshot
Limitations in the use of RMS values and equivalent stresses in variable amplitude loading
inferredcites →https://doi.org/10.1016/0142-1123(92)90087-sopenalex-snapshot
Multiaxial fatigue of steel—testing out of phase and in blocks: validity and applicability of some criteria
inferredcites →https://doi.org/10.1016/0888-3270(87)90088-4openalex-snapshot
Random data: Analysis and measurement procedures
inferredcites →https://doi.org/10.1016/j.engfracmech.2017.04.012openalex-snapshot
Methodology to evaluate fatigue damage under multiaxial random loading
inferredcites →https://doi.org/10.1016/j.ijfatigue.2006.10.011openalex-snapshot
Fatigue testing under variable amplitude loading
inferredcites →https://doi.org/10.1016/j.ijfatigue.2007.10.003openalex-snapshot
A study on combined torsion and axial load fatigue limit tests with stresses of different frequencies
inferredcites →https://doi.org/10.1016/j.ijfatigue.2009.10.010openalex-snapshot
A path-dependent cycle counting method for variable-amplitude multi-axial loading
inferredcites →https://doi.org/10.1016/j.ijfatigue.2010.05.004openalex-snapshot
A simple and efficient numerical algorithm to determine the orientation of the critical plane in multiaxial fatigue problems
inferredcites →https://doi.org/10.1016/j.ijfatigue.2011.01.003openalex-snapshot
Multiaxial fatigue: An overview and some approximation models for life estimation
inferredcites →https://doi.org/10.1016/j.ijfatigue.2011.11.015openalex-snapshot
A critical distance/plane method to estimate finite life of notched components under variable amplitude uniaxial/multiaxial fatigue loading
inferredcites →https://doi.org/10.1016/j.ijfatigue.2012.05.014openalex-snapshot
Fatigue life prediction for broad-band multiaxial loading with various PSD curve shapes
inferredcites →https://doi.org/10.1016/j.ijfatigue.2012.11.004openalex-snapshot
Comparative research on the accumulative damage rules under multiaxial block loading spectrum for 2024-T4 aluminum alloy
inferredcites →https://doi.org/10.1016/j.ijfatigue.2013.05.004openalex-snapshot
New approach for analysis of complex multiaxial loading paths
inferredcites →https://doi.org/10.1016/j.ijfatigue.2014.02.010openalex-snapshot
New cycle counting method for multiaxial fatigue
inferredcites →https://doi.org/10.1016/j.ijfatigue.2015.01.003openalex-snapshot
Random multiaxial fatigue: A comparative analysis among selected frequency and time domain fatigue evaluation methods
inferredcites →https://doi.org/10.1016/j.ijfatigue.2019.105187openalex-snapshot
A modified energy-based model for low-cycle fatigue life prediction under multiaxial irregular loading
inferredcites →https://doi.org/10.1016/s0142-1123(00)00075-xopenalex-snapshot
Multiaxial high-cycle fatigue criterion for hard metals
inferredcites →https://doi.org/10.1016/s0142-1123(02)00013-0openalex-snapshot
Evaluation of multiaxial fatigue criteria under irregular loading
inferredcites →https://doi.org/10.1016/s0142-1123(02)00148-2openalex-snapshot
Multiaxial cycle counting for critical plane methods
inferredcites →https://doi.org/10.1016/s0142-1123(02)00174-3openalex-snapshot
Independence of the torsional fatigue limit upon a mean shear stress
inferredcites →https://doi.org/10.1016/s0142-1123(99)00118-8openalex-snapshot
A critical plane approach for life prediction of high cycle fatigue under multiaxial variable amplitude loading
inferredcites →https://doi.org/10.1016/s0377-0427(00)00426-xopenalex-snapshot
A survey of truncated-Newton methods
inferredcites →https://doi.org/10.1046/j.1460-2695.1998.00459.xopenalex-snapshot
CRITICAL PLANE APPROACHES IN HIGH‐CYCLE FATIGUE: ON THE DEFINITION OF THE AMPLITUDE AND MEAN VALUE OF THE SHEAR STRESS ACTING ON THE CRITICAL PLANE
inferredcites →https://doi.org/10.1046/j.1460-2695.2002.00462.xopenalex-snapshot
A bi‐parametric Wöhler curve for high cycle multiaxial fatigue assessment
inferredcites →https://doi.org/10.1046/j.1460-2695.2003.00620.xopenalex-snapshot
A multiaxial fatigue criterion for random loading
inferredcites →https://doi.org/10.1046/j.1460-2695.2003.00723.xopenalex-snapshot
A stress‐based method to predict lifetime under multiaxial fatigue loadings
inferredcites →https://doi.org/10.1093/mnras/241.2.153openalex-snapshot
On the advantage of using analysis of variance for period search
inferredcites →https://doi.org/10.1109/msp.2003.1236771openalex-snapshot
Generalized multirate analysis of variance
inferredcites →https://doi.org/10.1111/ffe.12619openalex-snapshot
A review of multiaxial fatigue criteria for random variable amplitude loads
inferredcites →https://doi.org/10.1111/ffe.12659openalex-snapshot
A survey on multiaxial fatigue damage parameters under non‐proportional loadings
inferredcites →https://doi.org/10.1111/ffe.12956openalex-snapshot
A notch critical plane approach of multiaxial fatigue life prediction for metallic notched specimens
inferredcites →https://doi.org/10.1111/ffe.13036openalex-snapshot
Proportional/nonproportional constant/variable amplitude multiaxial notch fatigue: cyclic plasticity, non‐zero mean stresses, and critical distance/plane
inferredcites →https://doi.org/10.1111/ffe.13116openalex-snapshot
Prediction methods of fatigue critical point for notched components under multiaxial fatigue loading
inferredcites →https://doi.org/10.1111/j.1460-2695.1988.tb01169.xopenalex-snapshot
A CRITICAL PLANE APPROACH TO MULTIAXIAL FATIGUE DAMAGE INCLUDING OUT‐OF‐PHASE LOADING
inferredcites →https://doi.org/10.1111/j.1460-2695.1993.tb00739.xopenalex-snapshot
A PATH‐INDEPENDENT PARAMETER FOR FATIGUE UNDER PROPORTIONAL AND NON‐PROPORTIONAL LOADING
inferredcites →https://doi.org/10.1111/j.1460-2695.2008.01228.xopenalex-snapshot
Multiaxial fatigue limits and material sensitivity to non‐zero mean stresses normal to the critical planes
inferredcites →https://doi.org/10.1111/j.1460-2695.2009.01349.xopenalex-snapshot
A novel engineering method based on the critical plane concept to estimate the lifetime of weldments subjected to variable amplitude multiaxial fatigue loading
inferredcites →https://doi.org/10.1111/j.1460-2695.2011.01594.xopenalex-snapshot
Estimating fatigue damage under variable amplitude multiaxial fatigue loading
inferredcites →https://doi.org/10.1115/1.2806821openalex-snapshot
Life Prediction Techniques for Variable Amplitude Multiaxial Fatigue—Part 1: Theories
inferredcites →https://doi.org/10.1115/1.2806822openalex-snapshot
Life Prediction Techniques for Variable Amplitude Multiaxial Fatigue—Part 2: Comparison With Experimental Results
inferredcites →https://doi.org/10.1115/1.4009458openalex-snapshot
Cumulative Damage in Fatigue
inferredcites →https://doi.org/10.1115/1.4028927openalex-snapshot
Estimating Lifetime of Notched Components Subjected to Variable Amplitude Fatigue Loading According to the Elastoplastic Theory of Critical Distances
inferredcites →https://doi.org/10.1177/1056789519831051openalex-snapshot
Algorithms for multiaxial cycle counting method and fatigue life prediction based on the weight function critical plane under random loading
inferredcites →https://doi.org/10.1520/stp24793sopenalex-snapshot
Critical Plane Approaches for Multiaxial Fatigue Damage Assessment
inferredcites →https://doi.org/10.1520/stp36243sopenalex-snapshot
Fatigue Under Severe Nonproportional Loading
inferredcites →https://doi.org/10.1533/9781845695835openalex-snapshot
Multiaxial notch fatigue : from nominal to local stress/strain quantities
inferredcites →https://doi.org/10.3221/igf-esis.33.38openalex-snapshot
Critical plane approach to multiaxial variable amplitude fatigue loading

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4677761openalex-extracted
Multiaxial Fatigue Rule Applied to a Plate Subjected to an Equibiaxial Stress State
inferred← citeshttps://doi.org/10.1007/s40430-022-03869-1openalex-snapshot
Estimation of fatigue life under random multiaxial conditions using the projection-by-projection method
inferred← citeshttps://doi.org/10.1007/s42423-026-00230-9openalex-snapshot
Uncertainty Quantification of Random Vibration Fatigue Damage based on PDD-CPM Within a Digital Twin Framework
inferred← citeshttps://doi.org/10.1016/j.cja.2024.09.034openalex-snapshot
Novel integration of PSO-enhanced damage mechanics and finite element method for predicting medium–low-cycle fatigue life in perforated structures
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2025.110915openalex-snapshot
Fatigue life estimation of open-hole cold-extrusion strengthened structures using continuum damage mechanics and optimized machine learning models
inferred← citeshttps://doi.org/10.1016/j.fusengdes.2026.115862openalex-snapshot
A refined energy-based multiaxial fatigue rule up to crack initiation: a case study for an in-vessel component subjected to complex combined loads
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2020.105904openalex-snapshot
Fatigue of four metallic materials under asynchronous loadings: Small cracks observation and fatigue life prediction
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2020.105991openalex-snapshot
Assessing variable amplitude multiaxial fatigue lifetime of notched components based on the notch critical plane approach
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2021.106412openalex-snapshot
Constant/variable amplitude multiaxial notch fatigue of additively manufactured AISI 316L
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2022.106941openalex-snapshot
Notches, nominal stresses, fatigue strength reduction factors and constant/variable amplitude multiaxial fatigue loading
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2022.107228openalex-snapshot
A contribution to the identification of the critical plane using the maximum variance method
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2024.108537openalex-snapshot
Evaluation of the accuracy and efficiency of the modified maximum variance method for multiaxial fatigue analysis under constant amplitude loading
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2025.109357openalex-snapshot
Online assessment of fatigue damage under multiaxial variable amplitude loading
inferred← citeshttps://doi.org/10.1016/j.ijfatigue.2026.109710openalex-snapshot
Improved critical plane model for predicting multiaxial fatigue life of thin-walled stamped components considering forming effects
inferred← citeshttps://doi.org/10.1016/j.prostr.2025.11.071openalex-snapshot
Fast and accurate frequency-domain formulation of the Fatemi–Socie critical plane method for multiaxial random loading
inferred← citeshttps://doi.org/10.1016/j.ress.2025.111044openalex-snapshot
A prior knowledge-guided predictive framework for LCF life and its implementation in shaft-like components under multiaxial loading
inferred← citeshttps://doi.org/10.1111/ffe.13658openalex-snapshot
Quantitative thermographic method for fatigue life prediction under variable amplitude loading
inferred← citeshttps://doi.org/10.1111/ffe.13822openalex-snapshot
Multiaxial fatigue evaluation of type 316L stainless steel based on critical plane and energy dissipation
inferred← citeshttps://doi.org/10.1111/ffe.13837openalex-snapshot
Multiaxial fatigue life prediction by equivalent energy‐based critical plane damage parameter under variable amplitude loading
inferred← citeshttps://doi.org/10.1111/ffe.14302openalex-snapshot
A hybrid frequency‐time domain life prediction method based on the critical plane theory
inferred← citeshttps://doi.org/10.1111/ffe.14402openalex-snapshot
Multiaxial fatigue rule applied to disc specimens with variable thickness subjected to an equibiaxial stress state
inferred← citeshttps://doi.org/10.1177/10567895211045420openalex-snapshot
An elasto-plastic damage accumulation model for fatigue life predication of ductile metals at the yield stress
inferred← citeshttps://doi.org/10.1520/jte20220524openalex-snapshot
A Critical Plane-Based Multiaxial High-Cycle Fatigue Criterion Considering Mean Stress and Phase Shift Effects for Hard Metals
inferred← citeshttps://doi.org/10.3390/ma13173877openalex-snapshot
Fatigue Prediction of Aluminum Alloys Considering Critical Plane Orientation under Complex Stress States
inferred← citeshttps://doi.org/10.3390/met14080938openalex-snapshot
Two Fatigue Life Prediction Models Based on the Critical Plane Theory and Artificial Neural Networks
inferred← citeshttps://doi.org/10.4322/978-65-86503-88-3.c17openalex-snapshot
Random Fatigue Under Uniaxial and Multiaxial Loading Conditions
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