ABSTRACT For modern engineering applications, the prediction of residual stresses is a starting-point for the subsequent optimisation of the design with regard to the process induced stresses on the macro and the grain scale. In this paper, a new approach for the numerically efficient prediction of phase-specific residual stresses (residual stresses of second kind) in two-phase materials is presented. The proposed model allows for a two-scale simulation of complex forming processes, solely based on the phase-specific constitutive equations. This enables the calculation of the average stresses and strains in each phase during the entire process and the prediction of the macroscopic material response. The numerical results are compared to experimental diffraction-based data of a bending bar and a deep drawn cup and are aligned better compared to existing models.

中文翻译：

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使用增量双尺度材料模型预测深拉中第二类残余应力

摘要对于现代工程应用，残余应力的预测是后续优化设计的起点，该设计涉及宏观和晶粒尺度上的过程诱导应力。在本文中，提出了一种数值有效预测两相材料中特定相残余应力（第二类残余应力）的新方法。所提出的模型允许对复杂的成形过程进行两尺度模拟，仅基于相特定的本构方程。这可以计算整个过程中每个阶段的平均应力和应变，并预测宏观材料响应。