The main objective of this paper is to provide a numerical approach to study thin sheet metals involved in multiphysics manufacturing processes. The proposed approach also accounts for anisotropic plastic deformations in the context of modeling of deep drawing process. In this work, different constitutive models are implemented with a prismatic solid shell element to simulate these applications. Moreover, a new element assembly technique has been developed to permit the assembly of prismatic elements in a tetrahedral element-based finite element code. This technique splits the prism into multiple tetrahedral elements in such a way that all the cross terms are accounted for. The numerical approach has been validated using multiple tests that involve different non-linearities: geometric, material and contact. Then, more complex sheet metal processes have been simulated. The performance of the solid shell element with one element through the thickness is very comparable to the results obtained with more refined mesh of a tetrahedral element. This reduction in the number of elements accelerates the simulation, especially in the deep drawing problem and the coupled magnetic-mechanical simulation used for the magnetic pulse forming process.

本文的主要目的是提供一种数值方法来研究涉及多物理场制造过程的薄板金属。所提出的方法还考虑了深拉过程建模中的各向异性塑性变形。在这项工作中，使用棱柱实体壳单元实现不同的本构模型来模拟这些应用。此外，还开发了一种新的单元组装技术，以允许在基于四面体单元的有限元代码中组装棱柱单元。这种技术将棱镜分成多个四面体单元，这样所有的交叉项都被考虑在内。数值方法已使用涉及不同非线性的多项测试得到验证：几何、材料和接触。然后，已经模拟了更复杂的钣金工艺。具有一个单元穿过厚度的实体壳单元的性能与使用更细化的四面体单元网格获得的结果非常相似。单元数量的减少加速了模拟，特别是在深拉问题和用于磁脉冲形成过程的耦合磁-机械模拟中。