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arXiv 1102.3815cond-mat.mtrl-sci
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用位错的平移规范理论研究功能梯度材料中的螺型位错

A screw dislocation in a functionally graded material using the translation gauge theory of dislocations

Markus Lazar

摘要:

本文的目的是在位错的规范理论中为功能梯度介质中的螺型位错提供新的结果和见解。本文给出了非均匀介质中位错的运动方程。给出了功能梯度材料中螺型位错的运动方程。假设材料属性沿x和y方向呈指数变化。本文给出了非均匀介质中螺位错问题的规范场理论解析解。采用位错规方法,根据梯度模量和有效的本征长度尺度特性,得到了弹性变形、力应力、位错密度和伪矩应力的严格解析表达式.

英文摘要:

The aim of this paper is to provide new results and insights for a screw dislocation in functionally graded media within the gauge theory of dislocations. We present the equations of motion for dislocations in inhomogeneous media. We specify the equations of motion for a screw dislocation in a functionally graded material. The material properties are assumed to vary exponentially along the x and y-directions. In the present work we give the analytical gauge field theoretic solution to the problem of a screw dislocation in inhomogeneous media. Using the dislocation gauge approach, rigorous analytical expressions for the elastic distortions, the force stresses, the dislocation density and the pseudomoment stresses are obtained depending on the moduli of gradation and an effective intrinsic length scale characteristic for the functionally graded material under consideration.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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