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Journal Articles International Journal of Solids and Structures Year : 2020

An analytical model for necking strains in stretched plates under dynamic biaxial loading

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1
Nicolas Jacques

Abstract

A model for the prediction of localised necking in plates subjected to dynamic biaxial loading is presented. The proposed model extends the classic two-zone localisation analysis introduced by Marciniak and Kuczyński (1967) to include the contribution of inertia. Several examples of computations are presented to illustrate the influence of inertia, material rate-dependence and yield surface shape on plate necking under dynamic biaxial loading. It is found that inertia may significantly delay the occurrence of localised necking and increase the apparent ductility of the material. The results of the proposed model are compared to those of three-dimensional finite element simulations and a very good agreement is observed.
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Dates and versions

hal-02890927 , version 1 (03-06-2021)

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Nicolas Jacques. An analytical model for necking strains in stretched plates under dynamic biaxial loading. International Journal of Solids and Structures, 2020, 200-201, pp.198-212. ⟨10.1016/j.ijsolstr.2020.05.028⟩. ⟨hal-02890927⟩
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