平面非定常理想塑性的对称群
Symmetry groups of non-stationary planar ideal plasticity
摘要：
本文研究了理想塑性材料平面非定常流动系统的点对称李群。对于系统中涉及的几种力，得到了生成对称李代数的无穷小生成元。在单演力的情况下，在自同构群的作用下，已经完成了一维和二维子代数到共轭类的分类。对称约化的方法适用于某些子代数类，以获得不变的解决方案。
英文摘要：
This paper is a study of the Lie groups of point symmetries admitted by a system describing a non-stationary planar flow of an ideal plastic material. For several types of forces involved in the system, the infinitesimal generators which generate the Lie algebra of symmetries have been obtained. In the case of a monogenic force, the classification of one- and two- dimensional subalgebras into conjugacy classes under the action of the group of automorphisms has been accomplished. The method of symmetry reduction is applied for certain subalgebra classes in order to obtain invariant solutions.
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