Semi-Analytical Finite Element Method for Fictitious Crack Model in Fracture Mechanics of Concrete

WANG Cheng-qiang; ZHENG Chang-liang

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(11): 1157-1162

WANG Cheng-qiang, ZHENG Chang-liang. Semi-Analytical Finite Element Method for Fictitious Crack Model in Fracture Mechanics of Concrete[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1157-1162.

Citation:

WANG Cheng-qiang, ZHENG Chang-liang. Semi-Analytical Finite Element Method for Fictitious Crack Model in Fracture Mechanics of Concrete[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1157-1162.

Citation:

WANG Cheng-qiang, ZHENG Chang-liang. Semi-Analytical Finite Element Method for Fictitious Crack Model in Fracture Mechanics of Concrete[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1157-1162.

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Semi-Analytical Finite Element Method for Fictitious Crack Model in Fracture Mechanics of Concrete

Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P. R. China

Received Date: 2003-03-20
Rev Recd Date: 2004-08-20
Publish Date: 2004-11-15

Abstract

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.
- Hamiltonian system,
- fictitious crack model,
- semi-analytical finite element method

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References(11)

References

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