This paper studies the plane constrained shear problem for single crystals having one active slip system and subjected to loading in both directions within the small strain thermodynamic dislocation theory proposed by Le (J Mech Phys Solids 111:157–169, 2018). The numerical solution of the boundary value problem shows the combined isotropic and kinematic work hardening, the sensitivity of the stress–strain curves to temperature and strain rate, the Bauschinger effect, and the size effect.

中文翻译：

---

单晶的平面约束剪切

本文研究了Le（J Mech Phys Solids 111：157–169，2018）提出的小应变热力学位错理论中具有一个活动滑移系统并在两个方向上都承受两个方向载荷的单晶的平面约束剪切问题。边值问题的数值解显示了各向同性和运动学功的结合，应力-应变曲线对温度和应变率的敏感性，鲍辛格效应和尺寸效应。