关于四阶率相关与梯度耦合模型的内尺度律与稳定性分析(英文)

Analysis of internal length scales and strain localization for the four order rate dependent and gradient-dependent model

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及Routh-Hurwitz准则对材料的应变局部化及材料的稳定性进行了研究,得到了四阶耦合模型在一维情况下的内尺度律的变化及材料稳定性的关系,得到了波长变化的下界及材料稳定性的条件;在此基础上,研究了特殊的四阶耦合模型在一维情况下的内尺度律的变化与材料的稳定性的关系,并对其进行了对比研究,得到材料稳定点移动的规律.

Based on theoretical study and numerical calculation of the two order rate dependent and gradient dependent model, a four order rate dependent and gradient-dependent model was put forward. Strain localization and stability of material by simple harmonic motion for new combination model were studied. The laws of internal length scales and conditions of material stability were obtained at one dimension condition for this new combination model. At last, the influence of material stability for the rate term and the gradient term in the four order combination model were obtained.