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1·Shakedown theorem under isotropic hardening is presented and proved in this paper. Namely, shakedown state is always achievable for structure of isotropic hardening materials under cycling loads.

本文提出并证明了在各向同性强化条件下的安定定理，即在循环载荷作用下，各向同性强化材料的结构，其安定状态总是可以实现的。

2·Finally, the shakedown problems of rotating disks of such materials under isotropic and kinematic hardening conditions are discussed.

文中最后讨论了各向同性强化条件和随动强化条件下两种材料旋转圆盘的安定性。

3·The model is also extended to involve the isotropic and kinematic hardening or softening.

该模型具有考虑各向同性和运动硬化、软化的功能。