The dynamic indentation of an elastic-viscoplastic work-hardening slab by a rigid punch

Jacob Aboudi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A unified theory for elastic-viscoplastic work-hardening materials, which requires neither a yield criterion nor loading or unloading conditions, is implemented to solve two-dimensional dynamic problems. Specifically, the theory is applied to the dynamic indentation by a rigid indenter of a slab made of an elastic-viscoplastic material. The contact area between the indenter and the slab at any time is not known in advance but should be determined from the process of the solution. An iterative numerical procedure is proposed by which the complete solution is determined from the dynamic elastic-viscoplastic equations, the moving mixed boundary conditions, the requirement that the contact normal stresses are compressive and that no interpenetration occurs outside the contact area. The method is applied to the indentation problem of a viscoplastic slab by a long rigid circular cylinder, and by a wedge-shaped die. Comparisons with the corresponding perfectly elastic problems are given.

Original languageEnglish
Pages (from-to)619-629
Number of pages11
JournalInternational Journal of Engineering Science
Volume18
Issue number4
DOIs
StatePublished - 1980

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