连续介质力学新论

A New View on Conhnuous Medium

本文是作者一系列理论构想的简述，着重指出以下论点：从经典质─—点力学类推得出的连续介质力学不能描述物体复杂的宏观力学过程，也有悖于场论的现代发展─—规范理论的基本观点，从拓扑观点出发，以现代微分几何为数学工具、以耗散结构论为物理基础重构连续介质力学是必要的，新的理论将给出物体复杂变化如湍流、非均匀有限变形等的合理描述。

This paper is a brief report of author’s some theoretic conceptions。One ofthese conceptions that must be emphatically pointed out is that the theory of continuous mediumby the point of particle can’deseeribe the complicated mechanical process and is contrary to thebasic concept of modern development of field theory,so the building of a new theory of continuotismedium by the point of topology is necessary which could take modern differential geometry as itsmathematical foundation and take the concept of dissipation structure as its physical foundation。The new theory may give a rational description of complicated changes such as turbulence,unwell-distributed deformation,etc。