Point symmetries allowed by plasticity equations in the dynamical case are used to construct solutions for the dynamical equations of ideal plasticity. These symmetries make it possible to convert the exact solutions of stationary dynamical equations to nonstationary solutions. The so-constructed solutions include arbitrary functions of time. The solutions allow us to describe the plastic flow between the plates changing their shape under the action of dynamical loads. Some new spatial self-similar solution is also presented.

中文翻译：

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理想可塑性动力学方程的新解

在动力学情况下，可塑性方程所允许的点对称性用于构造理想可塑性动力学方程的解。这些对称性使得将静态动力学方程的精确解转换为非平稳解成为可能。如此构造的解决方案包括时间的任意函数。这些解决方案使我们能够描述板之间的塑料流动，这些板在动态载荷作用下改变其形状。还提出了一些新的空间自相似解。