THE DERIVATIVE OF A TENSOR-VALUED FUNCTION OF A TENSOR

被引:62
作者
CARLSON, DE
HOGER, A
机构
[1] UNIV ILLINOIS, URBANA, IL 61801 USA
[2] CARNEGIE MELLON UNIV, PITTSBURGH, PA 15213 USA
关键词
D O I
10.1090/qam/860894
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:409 / 423
页数:15
相关论文
共 14 条
[1]   DIFFERENTIABILITY PROPERTIES OF SYMMETRIC AND ISOTROPIC FUNCTIONS [J].
BALL, JM .
DUKE MATHEMATICAL JOURNAL, 1984, 51 (03) :699-728
[2]  
CARLSON DE, UNPUB J ELASTICITY
[3]  
GUO ZH, 1984, J ELASTICITY, V14, P263, DOI 10.1007/BF00041138
[4]  
Gurtin M.E., 1981, INTRO CONTINUUM MECH
[5]   ON THE RELATIONSHIP BETWEEN THE LOGARITHMIC STRAIN RATE AND THE STRETCHING TENSOR [J].
GURTIN, ME ;
SPEAR, K .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1983, 19 (05) :437-444
[6]  
Halmos P. R., 2017, FINITE DIMENSIONAL V, VSecond
[7]  
HOFFMAN K, 1961, LINEAR ALGEBRA
[8]   ON THE DERIVATIVE OF THE SQUARE ROOT OF A TENSOR AND GUO RATE THEOREMS [J].
HOGER, A ;
CARLSON, DE .
JOURNAL OF ELASTICITY, 1984, 14 (03) :329-336
[9]  
HOGER A, UNPUB INT J SOLIDS S
[10]  
Kato T., 1976, PERTURBATION THEORY