journal article·2014-12-14Open access

Transient elastic-viscoplastic dynamics of thin sheets

Ali Atai, David Steigmann

Abstract

A model for the finite transient viscoplastic response of thin membranes is derived from three-dimensional viscoplasticity theory for isotropic materials.This accommodates large elastic strains and is not limited to conventional Kirchhoff-Love kinematics.In particular, we show that the Kirchhoff-Love hypothesis need not obtain in the presence of plastic deformation.Numerical experiments exhibit large transient elastic strains accompanied by small deviations from Kirchhoff-Love kinematics.
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Research context

OpenAlex topics: Elasticity and Material Modeling · Vibration and Dynamic Analysis · Composite Material Mechanics

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