模拟摩擦接触问题的新型无网格数值方法

Abstract

Abstract: A new meshless numerical method for frictional contact problem is presented. In order to represent the discontinuous displacement field along contact surface and stress singularity around the contact surface tip, a discontinuous function and asymptotic crack tip displacement fields are added to the standard displacement formula based on the idea of partition of unity. Then, combined with frictional contact laws, a linear complementary model with the meshless method is formulated. In this approach, contact interface equations are discretized by contact point-discretization; and the global discretized system equation are transformed into a standard linear complementary problem that can be solved readily by using the Lemke method. Numerical examples show that the method is effective for solving the frictional contact problems.

Key words: meshless method, discontinuous displacement, frictional contact, linear complementarity

CLC Number:

TU 443

MA Wen-tao ，SHI Jun-ping ，LI Ning . A new meshless numerical method for simulating frictional contact problems[J]., 2012, 33(10): 3145-3150.

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A new meshless numerical method for simulating frictional contact problems

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