A reproducing kernel smooth contact formulation for metal forming simulations

作者：Wang Hui Ping; Wu Cheng Tang; Chen Jiun Shyan^*

来源：Computational Mechanics, 2014, 54(1): 151-169.

DOI：10.1007/s00466-014-1015-3

• Meshfree method
• Contact formulation
• Reproducing kernel particle method
• Smooth contact
• Metal forming simulation

This paper presents a meshfree smooth contact formulation for application to metal forming problems. The continuum-based contact formulation requires continuity in the approximation of contact surface geometry and displacement variables, which is difficult for the conventional finite elements. In this work, we introduce a reproducing kernel approximation to achieve arbitrary degree of smoothness for contact surface representation and displacement field approximation. This approach allows the employment of continuum-based contact formulation, leading to a continuous contact force vector and a consistent tangent particularly advantageous in the Newton iteration of contact analysis. The proposed meshfree smooth contact formulation has been applied to the simulation of metal forming processes and is shown to improve the convergence significantly in comparison with the finite element-based contact formulation.

• 出版日期2014-7