The relaxation of elastic energy during macroscopic plastic deformation in a rigorous formulation is determined by solutions of the system of nonlinear equations of mechanics of a deformable solid. Using methods of the nonlinear systems theory, a nonlinear parabolic equation is obtained for the amplitude of the unstable mode which describes the plastic deformation at large spatial and time scales.

中文翻译：

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金属宏观塑性变形的弛豫模式

严格公式中宏观塑性变形过程中弹性能的松弛由可变形固体力学非线性方程组的解确定。利用非线性系统理论的方法，得到了描述大空间和时间尺度塑性变形的不稳定模态振幅的非线性抛物线方程。