Cyclic J-integral using the linear matching method

Weihang Chen, Haofeng Chen

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The extended version of the latest Linear Matching Method (LMM) has the capability to evaluate the stable cyclic response, which produces cyclic stresses, residual stresses and plastic strain ranges for the low cycle fatigue assessment with cyclic load history. The objective of this study is to calculate ΔJ through the LMM and suggest future development directions. The derivation of the ΔJ based on the potential energy expression for a single edge cracked plate subjected to cyclic uniaxial loading condition using LMM is presented. To extend the analysis so that it can be incorporated to other plasticity models, material Ramberg-Osgood hardening constants are also adopted. The results of the proposed model have been compared to the ones obtained from Reference Stress Method (RSM) for a single edge cracked plate and they indicate that the estimates provide a relatively easy method for estimating ΔJ for describing the crack growth rate behaviour by considering the complete accumulated cycle effects.

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Cyclic loads
Potential energy
Plasticity
Hardening
Crack propagation
Residual stresses
Plastic deformation
Fatigue of materials
Direction compound

Keywords

  • Cyclic J Integral
  • linear matching method
  • single edge cracked plate

Cite this

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title = "Cyclic J-integral using the linear matching method",
abstract = "The extended version of the latest Linear Matching Method (LMM) has the capability to evaluate the stable cyclic response, which produces cyclic stresses, residual stresses and plastic strain ranges for the low cycle fatigue assessment with cyclic load history. The objective of this study is to calculate ΔJ through the LMM and suggest future development directions. The derivation of the ΔJ based on the potential energy expression for a single edge cracked plate subjected to cyclic uniaxial loading condition using LMM is presented. To extend the analysis so that it can be incorporated to other plasticity models, material Ramberg-Osgood hardening constants are also adopted. The results of the proposed model have been compared to the ones obtained from Reference Stress Method (RSM) for a single edge cracked plate and they indicate that the estimates provide a relatively easy method for estimating ΔJ for describing the crack growth rate behaviour by considering the complete accumulated cycle effects.",
keywords = "Cyclic J Integral, linear matching method, single edge cracked plate",
author = "Weihang Chen and Haofeng Chen",
year = "2013",
month = "8",
doi = "10.1016/j.ijpvp.2013.04.011",
language = "English",
volume = "108-109",
pages = "72--80",
journal = "International Journal of Pressure Vessels and Piping",
issn = "0308-0161",

}

Cyclic J-integral using the linear matching method. / Chen, Weihang; Chen, Haofeng.

In: International Journal of Pressure Vessels and Piping, Vol. 108-109, 08.2013, p. 72-80.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Cyclic J-integral using the linear matching method

AU - Chen, Weihang

AU - Chen, Haofeng

PY - 2013/8

Y1 - 2013/8

N2 - The extended version of the latest Linear Matching Method (LMM) has the capability to evaluate the stable cyclic response, which produces cyclic stresses, residual stresses and plastic strain ranges for the low cycle fatigue assessment with cyclic load history. The objective of this study is to calculate ΔJ through the LMM and suggest future development directions. The derivation of the ΔJ based on the potential energy expression for a single edge cracked plate subjected to cyclic uniaxial loading condition using LMM is presented. To extend the analysis so that it can be incorporated to other plasticity models, material Ramberg-Osgood hardening constants are also adopted. The results of the proposed model have been compared to the ones obtained from Reference Stress Method (RSM) for a single edge cracked plate and they indicate that the estimates provide a relatively easy method for estimating ΔJ for describing the crack growth rate behaviour by considering the complete accumulated cycle effects.

AB - The extended version of the latest Linear Matching Method (LMM) has the capability to evaluate the stable cyclic response, which produces cyclic stresses, residual stresses and plastic strain ranges for the low cycle fatigue assessment with cyclic load history. The objective of this study is to calculate ΔJ through the LMM and suggest future development directions. The derivation of the ΔJ based on the potential energy expression for a single edge cracked plate subjected to cyclic uniaxial loading condition using LMM is presented. To extend the analysis so that it can be incorporated to other plasticity models, material Ramberg-Osgood hardening constants are also adopted. The results of the proposed model have been compared to the ones obtained from Reference Stress Method (RSM) for a single edge cracked plate and they indicate that the estimates provide a relatively easy method for estimating ΔJ for describing the crack growth rate behaviour by considering the complete accumulated cycle effects.

KW - Cyclic J Integral

KW - linear matching method

KW - single edge cracked plate

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