Three-dimensional continuum dislocation theory
Three-dimensional continuum dislocation theory
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DOI：
10.1016/j.ijplas.2015.07.008
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发表时间：
2015-06
期刊：
影响因子：
--
通讯作者：
K. Le
中科院分区：
文献类型：
--
作者：
K. Le
本文提出了一个适用于含弯曲位错单晶的三维连续位错理论。一组控制方程和边界条件推导出真正的位置，塑性滑移，并在平衡中的回路功能，最小化的自由能的晶体在所有允许的功能，提供的位错运动的阻力是可以忽略的。对于位错运动的非零阻力，从包含耗散函数的变分方程导出控制方程。还提供了小应变的简化理论。本文给出了单晶梁单滑移和简单剪切变形的二维问题的渐近解。
A three-dimensional continuum dislocation theory for single crystals containing curved dislocations is proposed. A set of governing equations and boundary conditions is derived for the true placement, plastic slips, and loop functions in equilibrium that minimize the free energy of crystal among all admissible functions, provided the resistance to dislocation motion is negligible. For the non-vanishing resistance to dislocation motion the governing equations are derived from the variational equation that includes the dissipation function. A simplified theory for small strains is also provided. An asymptotic solution is found for the two-dimensional problem of a single crystal beam deforming in single slip and simple shear.