Young’s modulus has a strong effect on the mechanical behavior of elastic–plastic materials, such as elastic stiffness, elastic recovery, and potential energy. Since springback prediction is important in the sheet metal forming process, many of Young’s modulus studies have been focused on capturing the amount of springback. This work investigated the effect of Young’s modulus modeling focusing on energy conservation point. For this study, three representative concepts of Young’s modulus modeling (fixed modulus, chord modulus, and nonlinear modulus models) were employed. The three modulus models were coupled with the Chaboche kinematic hardening, and implemented into the ABAQUS User-defined material subroutine. The models were used to simulate cyclic loading, monotonic loading conditions, and 2D-draw bending process including the springback prediction. The models showed good agreement with the measured data in the numerical studies. However, in the chord modulus model, a negative potential energy phenomenon was detected during the elastic recovery path, which is unrealistic, while the fixed and nonlinear modulus models keep the energy conservation law. This work discusses the reason for the negative potential energy computation based on the energy dissipation, and presents a numerical method to compensate the negative potential energy.

杨氏模量对弹塑性材料的机械性能有很大影响，例如弹性刚度，弹性恢复和势能。由于回弹预测在钣金成形过程中很重要，因此许多杨氏模量研究都集中在捕获回弹量上。这项工作研究了杨氏模量建模对节能点的影响。对于本研究，采用了杨氏模量模型的三个代表性概念（固定模量，弦模量和非线性模量模型）。这三个模量模型与Chaboche运动硬化相结合，并实现到ABAQUS用户定义的材料子例程中。这些模型用于模拟循环载荷，单调载荷条件，以及包含回弹预测的2D拉伸弯曲过程。该模型与数值研究中的测量数据显示出良好的一致性。然而，在弦模量模型中，在弹性恢复路径中检测到负势能现象，这是不现实的，而固定模量模型和非线性模量模型保持能量守恒定律。本文讨论了基于能量耗散计算负势能的原因，并提出了一种补偿负势能的数值方法。固定和非线性模量模型保持能量守恒定律。本文讨论了基于能量耗散计算负势能的原因，并提出了一种补偿负势能的数值方法。固定和非线性模量模型保持能量守恒定律。本文讨论了基于能量耗散计算负势能的原因，并提出了一种补偿负势能的数值方法。