Hill-Mandel condition and bounds on lower symmetry elastic crystals

被引：9

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.

引用

页码：7 / 10

页数：4

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