Material symmetry optimization by Kelvin modes

被引：8

作者：

Cowin, SC ^{[1
]}

Yank, G

机构：

[1] CUNY City Coll, Sch Engn, Ctr Biomed Engn, New York, NY 10031 USA

[2] CUNY City Coll, Sch Engn, Dept Mech Engn, New York, NY 10031 USA

[3] CUNY, Grad Sch, New York, NY USA

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2000年 / 37卷 / 1-3期

关键词：

anisotropic elasticity; Kelvin modes; optimization; strain energy;

D O I：

10.1023/A:1004749203449

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Pointwise optimization of the material symmetry of an anisotropic elastic material with respect to fixed and specified stress (or strain) states is accomplished. The conceptual variables in this problem are the type of material symmetry and the orientation of the canonical symmetry axis for the material at a point in the material. The actual variables are the coefficients of the elasticity (or compliance) matrix. The results are presented in the form of the elasticity (or compliance) matrices that minimize the strain energy with respect to specified, but arbitrary, stress (or strain) states.

引用

页码：27 / 43

页数：17