The stress intensity factors for a short crack partially penetrating an inclusion of arbitrary shape |
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Authors: | Zhonghua Li Lihong Yang Shu Li Jun Sun |
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Affiliation: | (1) Department of Engineering Mechanics, Shanghai Jiaotong University, 200240 Shanghai, P.R. China;(2) Department of Plasticity Engineering, Shanghai Jiaotong University, 200030 Shanghai, P.R. China;(3) State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, 710049 Xi’an, P.R. China |
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Abstract: | Some approximate solutions for predicting the stress intensity factor of a short crack penetrating an inclusion of arbitrary shape have been developed under mode I and mode II loading conditions. The derivation of the fundamental formula is based on the transformation toughening theory. The transformation strains in the inclusion are induced by the crack-tip field and remotely applied stresses, and approximately evaluated by the Eshelby equivalent inclusion theory. As validated by detailed finite element (FE) analyses, the developed solutions have good accuracy for different inclusion shape and for a wide range of modulus ratio between inclusion and matrix material. |
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Keywords: | Mode I and mode II cracks Stress intensity factor Inclusion Transformation toughening Eshelby equivalent inclusion theory |
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