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 Kuczynski (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.

中文翻译：

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动态双轴加载下拉伸板颈缩应变的分析模型

摘要 提出了一种预测受动态双轴加载的板的局部颈缩的模型。所提出的模型扩展了 Marciniak 和 Kuczynski (1967) 引入的经典两区定位分析，以包括惯性的贡献。给出了几个计算示例，以说明在动态双轴加载下惯性、材料速率相关性和屈服面形状对板颈缩的影响。发现惯性可以显着延迟局部颈缩的发生并增加材料的表观延展性。将所提出的模型的结果与三维有限元模拟的结果进行比较，观察到非常好的一致性。