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WANG Hai-tao. A ONE-DIMENSIONAL HYBRID FINITE ELEMENT METHOD FOR THE ANALYSIS OF STRESS SINGULARITIES AT BI-MATERIAL INTERFACES[J]. Engineering Mechanics, 2009, 26(2): 21-026.
Citation: WANG Hai-tao. A ONE-DIMENSIONAL HYBRID FINITE ELEMENT METHOD FOR THE ANALYSIS OF STRESS SINGULARITIES AT BI-MATERIAL INTERFACES[J]. Engineering Mechanics, 2009, 26(2): 21-026.
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A ONE-DIMENSIONAL HYBRID FINITE ELEMENT METHOD FOR THE ANALYSIS OF STRESS SINGULARITIES AT BI-MATERIAL INTERFACES

  • (1. College of Architecture, South China University of Technology, Guangzhou, Guangdong 510640, China； 2. State Key Laboratory of Subtropical Architecture Science, South China University of Technology, Guangzhou, Guangdong 510640, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
    Graphical Abstract
    • Abstract
  • A one-dimensional hybrid finite element method for the analysis of stress singularities at bi-material interfaces is developed in the paper. The governing equations and boundary conditions for interfacial crack eigenproblems are reviewed firstly. The weak form of the governing equations and boundary conditions is obtained by the weighted residual method. Displacement and stress are independent variables of the weak form. By virtue of Galerkin finite element formulation and the weak form, a one-dimensional hybrid finite element method that only discretizes the domain circumferentially is formulated. The resulting global equation is a second-order characteristic matrix equation. Validity and efficiency of the method are verified by numerical examples.
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