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首页> 外文期刊>International Journal of Solids and Structures >An elasto-plastic theory of dislocation and disclination fields
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An elasto-plastic theory of dislocation and disclination fields

机译：错位和错位场的弹塑性理论

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摘要

A linear theory of the elasto-plasticity of crystalline solids based on a continuous representation of crystal defects - dislocations and disclinations - is presented. The model accounts for the translational and rotational aspects of lattice incompatibility, respectively associated with the presence of dislocations and disclinations. The defects content relates to the incompatible plastic strain and curvature tensors. The stress state is described by using the conjugate variables to strain and curvature, i.e.; the stress and couple-stress tensors. Defect motion is described by two transport equations. A dynamic interplay between dislocations and disclinations results from a disclination-induced source term in the transport of dislocations. Thermodynamic guidance provides the driving forces conjugate to dislocation and disclination velocity in a continuous context, as well as admissible constitutive relations for the latter. When dislocation and disclination velocity vanish, the model reduces to deWit's elasto-static theory of crystal defects. It also reduces to Acharya's linear elasto-plastic theory for dislocation fields when the disclination density is ignored. The theory is intended for use in instances where rotational defects matter, such as grain boundaries. To illustrate its applicability, a finite high-angle tilt boundary is modeled using a disclination dipole and its behavior under tensile loading normal to the boundary is shown.
机译：提出了基于晶体缺陷（位错和错位）的连续表示的结晶固体弹塑性的线性理论。该模型说明了晶格不兼容的平移和旋转方面，分别与位错和错位的存在相关。缺陷含量与不相容的塑性应变和曲率张量有关。通过使用共轭变量应变和曲率来描述应力状态，即应力和偶应力张量。缺陷运动由两个传输方程式描述。错位和错位之间的动态相互作用是由错位引起的源术语引起的。热力学引导在连续的情况下提供与位错和错位速度共轭的驱动力，以及后者的容许本构关系。当位错和错位速度消失时，该模型将简化为deWit晶体缺陷的弹性静力学理论。当忽略向错密度时，它也简化为Acharya的位错场线性弹塑性理论。该理论旨在用于旋转缺陷很重要的情况下，例如晶界。为了说明其适用性，使用向旋偶极子对有限的高角度倾斜边界进行了建模，并显示了其在垂直于边界的拉伸载荷下的行为。

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