材料的率相关与梯度耦合模型的二维内尺度律研究

Two dimensions study of internal length scales for rate dependent and gradient-dependent models

利用率相关与梯度塑性耦合本构模型,采用简谐波的分析方法对材料的应变局部化及材料的稳定性进行了研究,得到了二阶耦合模型在二维情况下的内尺度律的变化及其与材料稳定性的关系,得到了波长变化的下界及材料稳定性的条件;在此基础上,结合二阶耦合模型在一维情况下的内尺度律变化的规律,对其进行了对比研究,得到材料变形局部化带在一维与二维条件下的关系公式,这对材料变形局部化带宽的研究有积极意义。

Both rate dependent and gradient-dependent models introduce internal length scales in dynamic initial value problems.The paper studies strain localization and stability of material by simple harmonic motion for rate dependent and gradient-dependent models. The laws of internal length scales and conditions of material stability are obtained at two dimensions condition for two mixture models. And more, formula of strain localization band width at the one and two dimensions conditions is derived.