Case Study On Convergence And Accuracy Of Explicit Finite Element For Contact-impact Problems
Author(s)
S.R. Wu
Abstract
Case study on convergence and accuracy of
explicit finite element for contact-impact
problems
S. R. Wu
DepL Safety R&D, Ford Motor Company, U.S.A.
Abstract
Since the mid-80's, the explicit finite element method using a contact algorithm
based on the penalty method has achieved significant success in automobile
crash analysis, sheet metal forming and other impact engineering. As the finite
element analysis method has been incorporated into the design and
manufacturing analysis process, its reliability becomes increasingly important.
This paper presents a simple example of a loaded string over an obstacle, a
Signorini type of contact problem with a complete analytic solution. The finite
element solution is shown to converge to the analytic solution with uniformly
refined meshes. The penalty method for contact also converges to the rigid
constraint condition. The convergence rate of some items of interest matches
the available theoretical assessment. The study is extended t
Keywords
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