Elastic perfectly-plastic asymptotic mixed mode crack tip fields in plane stress

Keywords

Classification of discontinuities, Plane stress, Stress field, Finite element method, Materials science

References

• The mathematical theory of plasticityR. Hill — 1950
• On the Stress Distribution at the Base of a Stationary CrackM. L. Williams — 1956
• Asymptotic crack-tip fields for perfectly plastic solids under plane-stress and mixed-mode loading conditionsPingsha Dong, J. Pan — 1990
• Mode i and mixed mode fields with incomplete crack tip plasticityJ. Li, J.W. Hancock — 1999
• Plane strain deformation near a crack tip in a power-law hardening materialJ. R. Rice, G. F. Rosengren — 1967
• Mode I crack tip fields with incomplete crack tip plasticity in plane stressT.-L. Sham, J.W. Hancock — 1999
• A family of plane strain crack tip stress fields for interface cracks in strength-mismatched elastic-perfectly plastic solidsT.-L. Sham, J. Li, J.W. Hancock — 1999
• Plastic stress and strain fields at a crack tipJohn W. Hutchinson — 1968
• The effect of non-singular stresses on crack-tip constraintZhimin Du — 1991
• Singular behaviour at the end of a tensile crack in a hardening materialJohn W. Hutchinson — 1968
• On stress field near a stationary crack tipS. Nemat-Nasser, Makoto Obata — 1984
• Elastic–Plastic Crack GrowthJ. Rice — 1982
• Small-Scale Yielding Analysis of Mixed Mode Plane-Strain Crack ProblemsC. Shih — 1974
• Theory of ElasticityB. Aadnøy, R. Looyeh — 2019

Cited by

• Asymptotic stress field in the vicinity of a mixed-mode crack under plane stress conditions for a power-law hardening materialЛ. В. Степанова, Ekaterina Yakovleva — 2015
• Micromechanics behavior of fatigue cracks in Hadfield steel railway crossingXiaoyong Feng, Fucheng Zhang, Chunlei Zheng — 2013
• Asymptotic Crack-Tip Fields for Mixed Stationary Crack under Plane Stress Conditions in Pressure Sensitive and Elastic-Plastic MaterialsChen Lǚ, Su Fang Xing, Wen Jia Wang — 2010
• Stress-strain state in the vicinity of a crack tip under mixed loadingЛ. В. Степанова, Е.М. Адылина — 2014
• A Plasticity Criterion for Mixed Mode Fracture Initiation with Crack Surface Frictional Characteristics Under CompressionJia‐wen Zhou — 2011
• A unified method to solve higher order asymptotic crack-tip fields of mode I, mode II and mixed mode I/II crack in power-law creeping solidsYanwei Dai, Yinghua Liu, Fei Qin — 2019
• Mixed mode fracture in power law hardening materials for plane stressAdrian Loghin, Paul Joseph — 2020
• Residual life assessment of welded joints in the girth weld rootЛеонид Шрон, Vladimir Bogutsky, Elmar Yagyaev — 2020
• Asymptotic stress fields in the vicinity of the crack in perfectly plastic solids under mixed mode loadingЛ. В. Степанова — 2020
• Mixed mode fracture in perfect plastic materials for plane stress conditionsЛ. В. Степанова, A. A. Peksheva — 2021
• Asymptotic stress fields near the crack tip in perfect plastic materials under mixed mode loading (plane strain conditions)Л. В. Степанова — 2021
• An accurate numerical method of solving singular boundary value problems for the stationary flow of granular materials and its applicationSergei Alexandrov, Chih‐Yu Kuo, Yeau‐Ren Jeng — 2023
• Hydride induced embrittlement and fracture of non-hardening metals under hydrogen chemical equilibriumA G Varias — 2024
• Assessment of the second-term asymptotic stresses at the corner of an elastic–plastic bi-material interface under tensile loadingZahra Nasiri, Mahdi Fakoor — 2025
• Mode I and mixed mode elastic-plastic three-dimensional asymptotic crack tip fieldsF. Yusof, A.M. Alibe — 2026
• Уточнeнный расчет поля напряжений у вершины трещины поперечного сдвига в условиях плоского напряжeнного состояния в материале с дробно-линейным законом теории установившейся ползучестиЛ. В. Степанова, Л. В. Степанова — 2008

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