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

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

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

王承强, 郑长良

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

收稿日期:2003-03-20 修回日期:2004-08-20 出版日期:2004-11-18 发布日期:2004-11-18
基金资助:
the Doctorial Foundation of Education Ministry of China(20010141024);the National Natural Science Foundtion of China(10372019)

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

WANG Cheng-qiang, ZHENG Chang-liang

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

摘要/Abstract

摘要： 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.

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.

中图分类号:

O346.1

王承强;郑长良. SEMI-ANALYTICAL FINITE ELEMENT METHOD FOR FICTITIOUS CRACK MODEL IN FRACTURE MECHANICS OF CONCRETE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(11): 1265-1270.

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 (English Edition), 2004, 25(11): 1265-1270.

参考文献

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

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

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