A Brief Note on the Nix-Gao Strain Gradient Plasticity Theory

被引：1
|
作者：
Borokinni, A. S. [1 ]
Liu, Dabiao [2 ,3 ,4 ]
机构：
[1] Univ Lagos, Distance Learning Inst, PMB 0001, Lagos, Lagos State, Nigeria
[2] Huazhong Univ Sci & Technol, Dept Mech, Wuhan 430074, Hubei, Peoples R China
[3] Hubei Key Lab Engn Struct Anal & Safety Assessmen, Wuhan 430074, Hubei, Peoples R China
[4] Southwest Jiaotong Univ, Sch Mech & Engn, Appl Mech & Struct Safety Key Lab Sichuan Prov, Chengdu 610031, Sichuan, Peoples R China
来源：
METALS | 2018年 / 8卷 / 09期
基金：
欧盟地平线“2020”;
关键词：
strain gradient plasticity; principle of virtual power; defect energy; flow rule; material length scale; THIN METAL WIRES; CRYSTAL PLASTICITY; LENGTH SCALE; PART I; DEFORMATION; TORSION; MODEL; SIZE; ELASTOPLASTICITY; DISLOCATIONS;
D O I：
10.3390/met8090708
中图分类号：
T [工业技术];
学科分类号：
08 ;
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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页数：9
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