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T‐stress evaluations for nonhomogeneous materials using an interaction integral method
Author(s) -
Yu Hongjun,
Wu Linzhi,
Guo Licheng,
Li Hui,
Du Shanyi
Publication year - 2012
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4263
Subject(s) - computation , domain (mathematical analysis) , stress (linguistics) , integral equation , expression (computer science) , mathematics , finite element method , material properties , integral domain , mathematical analysis , materials science , computer science , physics , composite material , algorithm , field (mathematics) , thermodynamics , pure mathematics , philosophy , linguistics , programming language
SUMMARY A new equivalent domain integral of the interaction integral is derived for the computation of the T‐stress in nonhomogeneous materials with continuous or discontinuous properties. It can be found that the derived expression does not involve any derivatives of material properties. Moreover, the formulation can be proved valid even when the integral domain contains material interfaces. Therefore, the present method can be used to extract the T‐stress of nonhomogeneous materials with complex interfaces effectively. The interaction integral method in conjunction with the extended FEM is used to solve several representative examples to show its validity. Finally, using this method, the influences of material properties on the T‐stress are investigated. Numerical results show that the mechanical properties and their first‐order derivatives affect the T‐stress greatly, while the higher‐order derivatives affect the T‐stress slightly. Copyright © 2012 John Wiley & Sons, Ltd.