Continuum theory of evolving dislocation fields
Continuum theory of evolving dislocation fields
复制标题
位错场演化的连续体理论
DOI：
10.1080/14786430600972921
复制
发表时间：
2007
影响因子：
1.6
通讯作者：
E. Werner
中科院分区：
文献类型：
--
作者：
R. Sedláček;C. Schwarz;J. Kratochvíl;E. Werner
利用运动位错的连续介质理论，建立了位错场演化偏微分方程形式的晶体塑性非局部本构关系。单值位错场的概念，使我们能够跟踪的曲率连续分布的滑移位错线张力。该理论是制定在欧拉以及在所谓的位错拉格朗日形式。一般的理论，然后专门制定和解决连续介质力学的平面应变问题的适当形式。该理论的核心方程被确定为扩散-对流型输运方程。通过采用位错-拉格朗日方法消除了由对流主导的数值不稳定性。几个例子说明了理论的应用。
Continuum theory of moving dislocations is used to set up a non-local constitutive law for crystal plasticity in the form of partial differential equations for evolving dislocation fields. The concept of single-valued dislocation fields that enables us to keep track of the curvature of the continuously distributed gliding dislocations with line tension is utilized. The theory is formulated in the Eulerian as well as in the so-called dislocation-Lagrangian forms. The general theory is then specialized to a form appropriate to formulate and solve plane-strain problems of continuum mechanics. The key equation of the specialized theory is identified as a transport equation of diffusion–convection type. The numerical instabilities resulting from the dominating convection are eliminated by resorting to the dislocation-Lagrangian approach. Several examples illustrate the application of the theory.