Hill-Mandel condition and bounds on lower symmetry elastic crystals

被引：8
|
作者：
Murshed, Muhammad Ridwan [1 ]
Ranganathan, Shivakumar I. [1 ,2 ]
机构：
[1] Rowan Univ, Dept Mech Engn, 201 Mullica Hill Rd, Glassboro, NJ 08028 USA
[2] Rowan Univ, Dept Biomed Engn, 201 Mullica Hill Rd, Glassboro, NJ 08028 USA
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2017年 / 81卷
关键词：
Polycrystals; Hill-Mandel condition; Homogenization; Mesoscale; REPRESENTATIVE VOLUME ELEMENT; HASHIN-SHTRIKMAN BOUNDS; TETRAGONAL SYMMETRIES; THERMAL-CONDUCTIVITY; RANDOM CHECKERBOARDS; RANDOM POLYCRYSTALS; SCALING FUNCTION; SIZE; CONSTANTS; DESIGN;
D O I：
10.1016/j.mechrescom.2017.01.005
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Despite advances in contemporary micromechanics, there is a void in the literature on a versatile method for estimating the effective properties of polycrystals comprising of highly anisotropic single crystals belonging to lower symmetry class. Basing on variational principles in elasticity and the Hill-Mandel homogenization condition, we propose a versatile methodology to fill this void. It is demonstrated that the bounds obtained using the Hill-Mandel condition are tighter than the Voigt and Reuss [1,2] bounds, the Hashin-Shtrikman [3] bounds as well as a recently proposed self-consistent estimate by Kube and Arguelles [4] even for polycrystals with highly anisotropic single crystals. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：7 / 10
页数：4
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