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Viscoplastic Approaches in Forming Processes: Phenomenological and Computational Aspects

机译：成型过程中的粘塑性方法：现象学和计算方面

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The main objective of this work is to discuss a sound continuum basis and associated numerical formulation of viscoplastic approaches used in simulation of forming processes. From the outset, a Lagrangian framework is adopted, as is often done in solid mechanics, and large deformations and material strains are accommodated within the described framework. Several phenomenological viscoplastic constitutive models are reviewed that are applicable for particular materials. Computational issues are discussed in the context of the finite element method which is formulated within a rigorous nonlinear framework. Within the computational scheme, a robust algorithm based on an operator split method (elastic predictor-plastic corrector) is used for numerical integration of the viscoplastic constitutive equations. Large deformations represent standard working conditions during forming operations, which causes continuous changes of the optimal finite element mesh configuration throughout the deformation process. Therefore, an adaptive finite element procedure is formulated and employed in numerical simulations. The finite element simulation of a series of numerical tests is carried out and the results are compared with available experimental evidence.
机译：这项工作的主要目的是讨论在成形过程模拟中使用的粘塑性方法的良好连续性基础和相关的数值公式。从一开始，就采用了拉格朗日框架，这在固体力学中经常发生，并且在所述框架内容纳了较大的变形和材料应变。评论了几种适用于特定材料的现象学粘塑性本构模型。计算问题是在严格的非线性框架内制定的有限元方法的背景下讨论的。在计算方案中，基于算子拆分方法（弹性预测器-塑性校正器）的鲁棒算法用于粘塑性本构方程的数值积分。大变形代表成形操作期间的标准工作条件，这会导致整个变形过程中最佳有限元网格配置的连续变化。因此，制定了自适应有限元程序并将其用于数值模拟。进行了一系列数值测试的有限元模拟，并将结果与​​可用的实验证据进行了比较。

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