Update on a class of gradient theories
Update on a class of gradient theories
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DOI：
10.1016/s0167-6636(02)00278-8
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发表时间：
2003-03-01
影响因子：
3.9
通讯作者：
Aifantis, EC
中科院分区：
文献类型：
--
作者：
Aifantis, EC
这篇文章，写在荣誉教授内马特纳赛尔。提供了一个更新的位错动力学，塑性和弹性的标准理论适当修改，包括尺度效应，通过引入高阶空间梯度的本构变量的材料描述的控制方程。只有一类特殊的梯度模型。即作者和他的同事开发的那些。在简要回顾了理论的基本数学结构和位错场的某些梯度弹性解之后，讨论了梯度项的物理起源和形式（对于所有类别的弹性、塑性和位错动力学行为），沿着讨论了相关唯象系数的性质。变形图案和尺寸效应的解释应用。注意到两个新特征：小波分析和随机性在解释变形不均匀性测量和应力应变图锯齿中的作用。(C)2002爱思唯尔科技有限公司版权所有。
This article, written in honor of Professor Nemat-Nasser. provides an update of the standard theories of dislocation dynamics, plasticity and elasticity properly modified to include scale effects through the introduction of higher order spatial gradients of constitutive variables in the governing equations of material description. Only a special class of gradient models. namely those developed by the author and his co-workers, are considered. After a brief review of the basic mathematical structure of the theory and certain gradient elasticity solutions for dislocation fields, the physical origin and form of the gradient terms (for all classes of elastic, plastic, and dislocation dynamics behavior), along with the nature of the associated phenomenological coefficients are discussed. Applications to the interpretation of deformation patterning and size effects are given. Two new features are noted: the role of wavelet analysis and stochasticity in interpreting deformation heterogeneity measurements and serrations of the stress-strain graph. (C) 2002 Elsevier Science Ltd. All rights reserved.