A reproducing kernel smooth contact formulation for metal forming simulations

This paper presents a meshfree smooth contact formulation for application to metal forming problems. The continuum-based contact formulation requires C 2 continuity in the approximation of contact surface geometry and displacement variables, which is difficult for the conventional C 0 finite element...

Full description

Saved in:
Bibliographic Details
Published in:Computational mechanics 2014-07, Vol.54 (1), p.151-169
Main Authors: Wang, Hui-Ping, Wu, Cheng-Tang, Chen, Jiun-Shyan
Format: Article
Language:English
Subjects:
Analysis
Approximation
Classical and Continuum Physics
Computational Science and Engineering
Computer simulation
Contact
Contact force
Engineering
Finite element method
Forming
Formulations
Iterative methods
Kernels
Mathematical analysis
Mathematical models
Meshless methods
Metal forming
Metal products industry
Original Paper
Smoothness
Surface geometry
Theoretical and Applied Mechanics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a meshfree smooth contact formulation for application to metal forming problems. The continuum-based contact formulation requires C 2 continuity in the approximation of contact surface geometry and displacement variables, which is difficult for the conventional C 0 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 C 0 contact formulation.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-014-1015-3