Strong ellipticity of transversely isotropic elasticity tensors

被引:30
作者
Padovani, C [1 ]
机构
[1] CNR, Ist CNUCE, I-56100 Pisa, Italy
关键词
transversely isotropic materials; strong ellipticity; theory of elasticity;
D O I
10.1023/A:1020946506754
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The strong ellipticity of the elasticity tensor of a linearly hyperelastic, transversely isotropic material is investigated. The necessary and sufficient conditions for the elasticity tensor to be strongly elliptic are determined for the five constants characterizing it.
引用
收藏
页码:515 / 525
页数:11
相关论文
共 8 条
[2]  
CHEN WF, 1982, CONSTITUTIVE EQUATIO, V1, P3
[3]  
GURTIN ME, 1972, ENCY PHYSICS, V6
[4]  
Halmos P. R., 1987, FINITE DIMENSIONAL V
[5]  
Love A.A., 1927, A Treatise on the Mathematical Theory of Elasticity
[6]   TRANSVERSELY ISOTROPIC ELASTICITY TENSORS [J].
PODIOGUIDUGLI, P ;
VIRGA, EG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1987, 411 (1840) :85-93
[7]  
PODIOGUIDUGLI PA, 2000, J ELAST, V58
[8]   4TH-RANK TENSORS OF THE 32 CRYSTAL CLASSES - MULTIPLICATION TABLES [J].
WALPOLE, LJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1984, 391 (1800) :149-179