粘弹性体的耗散效应与发展方程的系数矩阵

根据不可逆热力学过程，可导出描述粘弹性行为的发展方程，且其精确解的特性在很大程度上依赖于系数矩阵的性质。另一方面，系数矩阵的性质又有赖于热力学广义坐标的特性，即中性稳定平衡坐标和参加孤立系统熵增过程坐标的状况。以中性稳定平衡坐标的存在与否将粘弹性行为分为理想粘弹性固体状态和理想粘弹性流体状态两类。

Coefficient Matrices of Evolution Equation and the Dissipation Effect ofViscoelastic Medium

It is obvious that the exact solutions of the evolution equation, which is derived by regarding the deformation process of viscoelastic materials as an irreversible themodynamic process, depend very much on the properties of their coefficient matrices. These matrices are usually affected by the nature of the generalized thermodynamic coordinates, say, the number and location of the neutrally stable equilibrium coordinates and those participating in the entropy production of the isolated system. These provide us a ground to distinguish the ideal viscoelastic solid state and the ideal viscoelastic fluid state in creep or stress relaxation behaviour.