变形体非协调理论的理性理论

RATIONAL THEORY OF THE INCOMPATIBILITY THEORY OF DEFORMABLE BODIES

本文介绍Noll和Wang等人用理性力学观点建立的变形体非协调理论(即缺陷的连续统理论)。这理论表明,本构方程完全确定物质流形的几何结构。因而,几何结构是理论的自然结果,而不是作为理论出发点的最初假设。

This paper presents briefly the incompatibility theory of deformable bodies (or the continuum theory of defects), developed by Noll, Wang and others from the view point of rational mechanics. This theory shows that the constitutive equations determine entirely the geometric structure of the material manifold. Therefore, the geometric structure is a natural result of the theory, but not the primary assumptions of the theory.