Dynamic response of a slab of elastic-viscoplastic material that exhibits induced plastic anisotropy

J. Aboudi, S. R. Bodner

Research output: Contribution to journalArticlepeer-review

Abstract

Various 2-dimensional problems of the dynamic loading of a slab are solved for a material characterization that is elastic-viscoplastic and exhibits anisotropic work-hardening. The governing constitutive equations are based on a unified formulation which requires neither a yield criterion nor loading or unloading conditions. They include multi-dimensional anisotropic effects induced by the plastic deformation history. The theory also considers plastic compressibility which depends on the extent of the anisotropy. A numerical procedure for solving the equations is developed which incorporates the history dependent anisotropic hardening effects. Cases considered are the dynamic penetration of a slab by a rigid cylindrical indenter, and a distributed force rapidly applied over part of the slab surface. Both conditions of fixed and free rear surfaces of the slab are examined. A uniaxial problem is also considered in which different bases for the anisotropic hardening law are examined.

Original languageEnglish
Pages (from-to)801-813
Number of pages13
JournalInternational Journal of Engineering Science
Volume18
Issue number6
DOIs
StatePublished - 1980

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