Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (11): 1265-1270.

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SEMI-ANALYTICAL FINITE ELEMENT METHOD FOR FICTITIOUS CRACK MODEL IN FRACTURE MECHANICS OF CONCRETE

WANG Cheng-qiang, ZHENG Chang-liang   

  1. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China
  • Received:2003-03-20 Revised:2004-08-20 Online:2004-11-18 Published:2004-11-18

Abstract: Based on the Hamiltonian governing equations of plane elasticity for sectorial domain, the variable separation and eigenfunction expansion techniques were employed to develop a novel analytical finite element for the fictitious crack model in fracture mechanics of concrete. The new analytical element can be implemented into FEM program systems to solve fictitious crack propagation problems for concrete cracked plates with arbitrary shapes and loads. Numerical results indicate that the method is more efficient and accurate than ordinary finite element method.

2010 MSC Number: 

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