A plastic temperature-dependent constitutive model is developed for 0.05 mm thickness pure aluminum diaphragms at large strains by using bulge test method. Rupture strain of the material is recorded below two percent according to tensile tests. In order to achieve the material behavior at larger strains, an own bulge test apparatus is used to extract equi-biaxial stress–strain curves at different temperatures, i.e. from room to 150 °C. Effective stress–strain behavior is then computed via a transformation scheme using the plastic work definition as well as the room temperature uniaxial stress–strain curve. It is illustrated that the Johnson–Cook constitutive model is not able to capture this stress–strain behavior. Thus, a modified Johnson–Cook model is developed in which the strain hardening is assumed to be temperature-dependent accompanying by a novel thermal softening relation. Using the Least-square method as well as the Ant colony optimization algorithm, the material parameters of the both models are calculated. It is depicted that the new model follows the material behavior more precisely than the Johnson–Cook model. The new model is then numerically implemented into finite element software via a user subroutine. In order to compare the accuracy of both models in capturing the hot bi-axial deformation of pure aluminum, an experiment is performed and numerically simulated.

利用凸出试验方法，针对大应变下厚度为0.05 mm的纯铝膜片，建立了一个与温度相关的塑性本构模型。根据拉伸测试，材料的断裂应变低于2％。为了在较大应变下实现材料性能，使用了自己的凸起测试设备来提取在不同温度（即从室温到150°C）下的等双轴应力-应变曲线。然后，使用塑性功定义以及室温单轴应力-应变曲线，通过转换方案计算有效的应力-应变行为。结果表明，Johnson-Cook本构模型无法捕获这种应力-应变行为。从而，开发了一种改良的Johnson-Cook模型，其中假定应变硬化与温度有关，并伴随着一种新颖的热软化关系。使用最小二乘法和蚁群优化算法，可以计算两个模型的材料参数。可以看出，新模型比Johnson-Cook模型更精确地遵循了物质行为。然后通过用户子例程将新模型数值实现到有限元软件中。为了比较两个模型在捕获纯铝热双轴变形中的准确性，进行了实验并进行了数值模拟。可以看出，新模型比Johnson-Cook模型更精确地遵循了物质行为。然后通过用户子例程将新模型数值实现到有限元软件中。为了比较两个模型在捕获纯铝热双轴变形中的准确性，进行了实验并进行了数值模拟。可以看出，新模型比Johnson-Cook模型更精确地遵循了物质行为。然后通过用户子例程将新模型数值实现到有限元软件中。为了比较两个模型在捕获纯铝热双轴变形中的准确性，进行了实验并进行了数值模拟。