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Date of Publication:2022-10-10

Journal:中国科学 技术科学

Affiliation of Author(s):运载工程与力学学部

Volume:46

Issue:12

Page Number:1225-1231

ISSN No.:1674-7259

Abstract:Multi-material antiplane crack problem is a typical mode III crack
   problem, of which the symplectic eigen-solutions under polar coordinate
   system and the stress singularity order at the crack tip have been
   reported in existing literatures. Based on the existing works, the
   special solution corresponding to the non-homogeneous boundary condition
   on crack surfaces is derived in this study, and then a symplectic
   analytical singular element (SASE) is constructed using the symplectic
   eigen-solutions and the special solution to deal with the related
   problems. Combining the proposed SASE with conventional finite elements,
   the multi-material mode III crack problems can be solved and the
   numerical results of stress intensity factors (SIF) can be calculated
   directly. Numerical examples show that the proposed method possesses
   high solving accuracy as well as high efficiency for the analysis of the
   discussed problem.

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