ON A CLASS OF PLANE RADIAL DEFORMATIONS OF COMPRESSIBLE NONLINEARLY ELASTIC SOLIDS

被引:9
作者
ARON, M
机构
[1] School of Mathematics and Statistics, University of Plymouth, Plymouth PL4 8AA, Drake Circus
关键词
D O I
10.1093/imamat/52.3.289
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In a plane strain framework, the largest class of isotropic unconstrained hyperelastic solids for which a certain class of plane radial deformations is possible in the absence of body forces is characterized in terms of the stored-energy function. Also obtained are sufficient conditions for the local stability of radial configurations of elastic hollow cylinders whose inner and outer lateral surfaces are subject to prescribed boundary displacement.
引用
收藏
页码:289 / 296
页数:8
相关论文
共 15 条
[1]   ON A MINIMUM PROPERTY IN NONLINEAR ELASTICITY [J].
ARON, M .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1991, 29 (11) :1471-1478
[2]   ON DEFORMATIONS WITH CONSTANT MODIFIED STRETCHES [J].
ARON, M ;
CROITORO, E .
JOURNAL OF ELASTICITY, 1992, 28 (01) :79-89
[3]   FINITE STRAIN SOLUTIONS IN COMPRESSIBLE ISOTROPIC ELASTICITY [J].
CARROLL, MM .
JOURNAL OF ELASTICITY, 1988, 20 (01) :65-92
[4]  
Ericksen J., 1955, J MATH PHYS, V34, P126, DOI DOI 10.1002/SAPM1955341126
[5]  
HORGAN CO, 1989, P ROY IRISH ACAD A, V89, P185
[6]   THE FINITE DEFORMATION OF A PRESSURIZED CIRCULAR TUBE FOR A CLASS OF COMPRESSIBLE MATERIALS [J].
JAFARI, AH ;
ABEYARATNE, R ;
HORGAN, CO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1984, 35 (02) :227-246
[8]  
Knowles J. K., 1975, International Journal of Solids and Structures, V11, P1173, DOI 10.1016/0020-7683(75)90107-9
[9]   SOLUTION OF SOME FINITE PLANE-STRAIN PROBLEMS FOR COMPRESSIBLE ELASTIC SOLIDS [J].
OGDEN, RW ;
ISHERWOOD, DA .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1978, 31 (MAY) :219-249
[10]  
OGDEN RW, 1984, NONLINEAR ELASTIC DE