We present the solution of a coupled problem on large deformations in a heavy layer of a material with elastic, viscous and plastic properties. The layer is held by a rigid inclined plane and is subjected to thermomechanical effects on its free surface. The contact of the layer material with the holding inclined plane is assumed to be rigid. Its other boundary plane is loaded and heated. Reversible and irreversible strains in the layer material are specified by differential equations of their change. Parameters of adopted constitutive laws of creep and plastic flow are considered to be temperature dependent. Strains, stresses and temperature are calculated at each time point of the deformation process. The conditions for the onset and termination of viscoplastic flow are indicated. The patterns of the motion of elastoplastic boundaries are established both during the active process of heating and loading, and during cooling and unloading.

我们提出了具有弹性、粘性和塑性特性的材料的厚层中的大变形耦合问题的解决方案。该层由一个刚性倾斜平面固定，并在其自由表面上受到热机械效应。假定层材料与保持斜面的接触是刚性的。它的另一个边界平面被加载和加热。层材料中的可逆和不可逆应变由其变化的微分方程指定。采用的蠕变和塑性流动本构定律的参数被认为与温度有关。在变形过程的每个时间点计算应变、应力和温度。显示了粘塑性流动的开始和终止条件。