零维物质体和微态物质体

在这篇文章里,R.G Muncaster的零维弹性体被推广到一般的高阶零维物质体。从非极连续介质力学理论出发,我们推出了零维物质体的所有平衡方程和热力学不等式。再从这些方程和不等式推出微态物质体的相应平衡方程和热力学不等式。这样,我们在零维物质体理论和微态物质体理论之间建立了一个类似于刚性质点力学和古典非极连续介质力学之间关系的关系。

ZERO-DIMENSIONAL MATERIAL BODY AND MICROMORPHIC MATERIAL BODY

In this paper, R. G, Muncaster's zero-dimensional elastic bodies are generalized to general zero-dimensional material bodies of higher order. From classical continuum theroy of non-polar media, we derive out the balance laws and thermodynamics inequality for zero-dimensional material bodies from which all the balance laws and thermodynamic ineqality for micromorphic material bodies are deriven out. By this way, we have established a connection between the theroy of zero-dimensional material bodies and the theory of micromorphic material bodies which is similar to that between the mechanics of rigid particles and the classical continuum mechanics of non-polar media.