A new meshless numerical method for simulating frictional contact problems

作者：Ma Wen Tao^*; Shi Jun Ping; Li Ning

来源：Yantu Lixue/rock and Soil Mechanics, 2012, 33(10): 3145-3150.

• Complementary model
• Contact interface
• Contact surface
• Crack tip displacement
• Discontinuous displacement
• Discontinuous displacement field
• Discontinuous functions
• Discretized systems
• Frictional contact
• Frictional contact problems
• Linear complementarity
• Linear complementary problems
• Mesh-less methods
• Meshless numerical method
• Numerical example
• Partition of unity
• Stress singularities

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.

• 出版日期2012