Abstract

The issues of studying shock-wave processes in structural materials are relevant; however, it is difficult, expensive, and sometimes even impossible to perform field studies. Therefore, all research on this topic is reduced to various options for modeling the processes rapidly loading materials under laboratory conditions. In the paper, we consider the following areas of the mathematical modeling of high-speed material loading at the Department of Physical Mechanics, St. Petersburg State University: modeling of shock-loaded media using the dynamics of dislocations, modeling the high-speed loading of media with allowance for relaxation phenomena in the near-surface region, modeling the propagation of a short elastoplastic pulse in a medium under the impact of a weak magnetic field, construction of mathematical models of deformation and destruction of thin metal rings by the magnetic-pulse method, and simulation of crack motion under short-term pulse loading.

中文翻译：

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圣彼得堡国立大学物理力学系的高速材料加载数学模型

摘要

研究结构材料中冲击波过程的问题是相关的；然而，进行实地研究是困难，昂贵的，有时甚至是不可能的。因此，所有关于该主题的研究都简化为在实验室条件下对物料快速加载过程进行建模的各种选择。在本文中，我们考虑了圣彼得堡国立大学物理力学系高速材料加载的数学建模的以下领域：利用位错动力学对冲击加载介质进行建模，对高速加载进行建模允许在近地表区域出现松弛现象的介质，模拟短弹塑性脉冲在弱磁场作用下在介质中的传播，