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Thermoelastic analysis of multiple defects with the extended finite element method

         

摘要

In this paper, the extended finite element method (XFEM) is adopted to analyze the interaction between a sin-gle macroscopic inclusion and a single macroscopic crack as well as that between multiple macroscopic or micro-scopic defects under thermal/mechanical load. The effects of different shapes of multiple inclusions on the material thermomechanical response are investigated, and the level set method is coupled with XFEM to analyze the interaction of multiple defects. Further, the discretized extended finite element approximations in relation to thermoelastic prob-lems of multiple defects under displacement or temperature field are given. Also, the interfaces of cracks or materials are represented by level set functions, which allow the mesh assignment not to conform to crack or material interfaces. Moreover, stress intensity factors of cracks are obtained by the interaction integral method or the M-integral method, and the stress/strain/stiffness fields are simulated in the case of multiple cracks or multiple inclusions. Finally, some numer-ical examples are provided to demonstrate the accuracy of our proposed method.

著录项

  • 来源
    《力学学报:英文版》 |2016年第006期|1123-1137|共15页
  • 作者

    Honggang Jia; Yufeng Nie;

  • 作者单位

    School of Mathematics and Statistics, Xuchang University, Xuchang 461000, China;

    School of Science, Northwestern Polytechnical University, Xi’an 710072, China;

  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
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