含裂纹结构的模糊无网格伽辽金法

吉林大学学报(工学版) ›› 2010, Vol. 40 ›› Issue (增刊): 287-0292.

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Fuzzy elementfree Galerkin method for the plane with crack

MENG Guang-wei^1,2,ZHOU Li-ming²,LI Feng²

1.State Key Laboratory of Automobile Dynamic Simulation, Jilin University,Changchun 130022|China；2.College of the Mechanical Science and Engineering, Jilin University,Changchun 130022,China

Received:2010-03-11 Online:2010-09-01 Published:2010-09-01

Abstract

Abstract:

Based on the fuzzy mathematics, elementfree Galerkin method (EFGM) was employed to deduce FEFGM equilibrium equations, and the algebraic properties of interval number was used to solve the FEFGM equilibrium equations. By the procedure, the possibility distributions of responses of fuzzy structures can be generated in terms of the membership functions of the input fuzzy numbers. FEFGM was used to compute the displacement fields of crack tips and direct displacement method was used to compute the stress intensity factors. Numerical examples demonstrate the efficiency and accuracy of the proposed method on calculating the stress intensity factors.

Key words: solid mechanics, fuzzy arithmetic, stress intensity factors, fuzzy elementfree Galerkin method

CLC Number:

O344

MENG Guang-Wei, ZHOU Li-Ming, LI Feng. Fuzzy elementfree Galerkin method for the plane with crack[J].吉林大学学报(工学版), 2010, 40(增刊): 287-0292.

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