The thermal sensitive materials' temperature-dependent properties are the connections between thermal propagation and elastoplastic deformation, since their temperature derivatives further induce complicated nonlinearity. Incorporating the induced nonlinearity, a general thermo-elastoplastic constitutive theory is proposed. Following the theory, loading criteria, elastic trial methods and the Drucker's stability postulates are modified accordingly. As general form of the conventional theory, the general thermo-elastoplastic constitutive theory strictly conforms with mathematical principles, physical nature of material's thermo-elastoplastic behaviors and properties' temperature-dependency; thus, the general theory's accuracy is promoted by a margin of 50.4% while the computational time is slightly elevated by 10.4% in the welding experiment. Tensile test reveals that the general theory's results are more stable and reliable; however, the conventional theory produces thermo-elastoplastic evolution faster than the general theory, which is the reason for the welding experiment's suspicious and erroneous patterns. Besides, it is also demonstrated that the induced nonlinearity dominates the evolution of stress tensor with elevation of thermal effect.

中文翻译：

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具有温度相关特性的热敏材料的通用热弹塑性本构理论

热敏材料的温度相关特性是热传播和弹塑性变形之间的联系，因为它们的温度导数进一步引起复杂的非线性。结合引起的非线性，提出了通用热弹塑性本构理论。根据该理论，对载荷准则、弹性试验方法和德鲁克稳定性假设进行了相应修改。广义热弹塑性本构理论作为常规理论的一般形式，严格符合数学原理、材料热弹塑性行为的物理本质以及性能的温度依赖性；因此，在焊接实验中，一般理论的精度提高了50.4%，计算时间略微提高了10.4%。拉伸试验表明，一般理论的结果更加稳定可靠；然而，传统理论产生的热弹塑性演化速度比一般理论更快，这就是焊接实验出现可疑和错误模式的原因。此外，还证明了随着热效应的升高，引起的非线性主导了应力张量的演化。