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应用新三论(协同、耗散、突变)方法之一的协同学方法,讨论了固体材料作为协同系统,在热粘弹状态下产生新的时空结构(弹变、塑变失稳等)的有关条件及其稳定性。对C.E.Bottani等人的工作加以推广,认为在热粘弹状态下,对于远离平衡态的合金固体材料局域系统,其协同结构及失稳性不仅仅是系统间温度与应变两者非线性耦合的结果,而是温度(0)、应变(。)和化学反应程度变量(引三者之间非线性耦合的结果。而非线性耦合是协同系统产生结构的必要条件。将本文用数量逻辑方法予以简化后,就得到与Bottanl等人分析完全相一致的结果。本文主要解决了两个问题:一是构造了远离平衡状态下,合金固体材料局域系统的温度(8)、应变(。)和化学反应程度变量(2)三者之间的动力学方程组。二是在系统参考态(即动力学偏微分方程组的定态)基础上,对参考态进行稳定性分析,给出了分析结果。
By using the synergetic method of one of the new three theories (synergy, dissipation and catastrophe), we discuss that the solid material as a synergistic system can generate new space-time structures Relevant conditions and stability. To C. E. Bottani et al work to promote, that the thermal viscoelastic state, for far away from the equilibrium state alloy solid material local system, its synergistic structure and instability is not only the result of nonlinear coupling between the system temperature and strain , But temperature (0), strain (.) And the degree of chemical reaction (non-linear coupling between the three cited results. Non-linear coupling is the synergistic system to produce the necessary conditions for the structure. , The result is completely consistent with the analysis by Bottanl et al.This paper mainly solves two problems: First, the temperature (8), strain (.) And chemical (2) The third is the dynamic equation between the three, and the second is the stability analysis of the reference state on the basis of the system reference state (that is, the stationary state of PDEs), and the analysis results .