可塑性
等温过程
约束(计算机辅助设计)
数学
期限(时间)
热力学
流量(数学)
能量平衡
牙石(牙科)
数学分析
物理
几何学
量子力学
医学
牙科
作者
A. S. Borokinni,Dabiao Liu
出处
期刊:Metals
[MDPI AG]
日期:2018-09-10
卷期号:8 (9): 708-708
被引量:1
摘要
The mathematical nature of the flow rule for the strain gradient plasticity theory proposed by Nix and Gao (W.D. Nix and H. Gao, J Mech Phys Solids 46(3), 411(1998)) is discussed based on the paradigm developed by Gurtin and Anand (M.E. Gurtin and L. Anand, J Mech Phys Solids 57 (3), 405 (2009)). It is shown that, when investigated on the basis of Gurtin–Anand theory, the Nix–Gao flow rule is a combination of constitutive equations for microstresses, balance law, and a constraint. As an accessory, we demonstrate that the strain gradient term introduced in the model is energetic. The results are obtained by combining a virtual-power principle of Fleck and Hutchinson, and the free-energy imbalance under isothermal conditions.
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