中文摘要：

基于 Gurson-Tvergaard-Needleman (GTN ) 模型和山二次的各向异性的收益标准，在 Mg 合金 AZ31 表的热踩的过程的破裂开始上的联合试验性数字的研究被执行。目的是预言在不同温度的 Mg 合金表的热踩的 formability。介绍理论框架为 ABAQUS/EXPLICIT 被实现进一个 VUMAT 子程序。由于虚空，生长和结合在 Mg 合金表在不同温度开发了的内部损坏进化被扫描电子显微镜学(SEM ) 观察。而且， Mg 合金表的空生长，结合，和破裂行为上的热效果被扩大 GTN 模型分析并且形成限制图(FLD ) 。在 GTN 模型采用的参数从张力的测试和数字反复的计算被决定。在标本的主要、次要的主要紧张的分发从数字结果被决定。因此，在不同压力层次和温度的相应形成限制图被拉。在预言的形成的限制和试验性的数据之间的比较显示出一个好协议。

英文摘要：

Based on the Gurson-Tvergaard-Needleman （GTN） model and Hill＇s quadratic anisotropic yield criterion, a combined experimental-numerical study on fracture initiation in the process of thermal stamping of Mg alloy AZ31 sheets was carried out. The aim is to predict the formability of thermal stamping of the Mg alloy sheets at different temperatures. The presented theoretical framework was implemented into a VUMAT subroutine for ABAQUS/EXPLICIT. Internal damage evolution due to void growth and coalescence developed at different temperatures in the Mg alloy sheets was observed by scanning electron microscopy （SEM）. Moreover, the thermal effects on the void growth, coalescence, and fracture behavior of the Mg alloy sheets were analyzed by the extended GTN model and forming limit diagrams （FLD）. Parameters employed in the GTN model were determined from tensile tests and numerical iterative computation. The distribution of major and minor principal strains in the specimens was determined from the numerical results. Therefore, the corresponding forming limit diagrams at different stress levels and temperatures were drawn. The comparison between the predicted forming limits and the experimental data shows a good agreement.