An analytical model for necking strains in stretched plates under dynamic biaxial loading. (September 2020)

• Record Type: Journal Article
• Authors: Jacques, N.
• Is Part Of: International journal of solids and structures. Volume 200/201(2020)
• Page Start: 198
• Page End: 212
• Publication Date: 2020-09
• Subjects: Necking -- Inertia -- Two-zone model -- Dynamic biaxial loading -- Plastic flow localisation -- Forming limits; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2020.05.028
• Languages: English
• ISSNs: 0020-7683

Abstract

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.