LARGE FINITE STRAIN MEMBRANE PROBLEMS

被引:14
作者
WU, CH
机构
关键词
D O I
10.1090/qam/520120
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Nonlinear membrane problems involving large finite strains are considered. It is found that explicit asymptotic solutions are possible for a rather large class of problems. Two distinct types of asymptotic solutions, roughly depending on whether the strain energy density function is dominated by I//1 or I//2, are found to exist.
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页码:347 / 359
页数:13
相关论文
共 26 条
[1]   A RECIPROCAL PROPERTY OF THE FINITE PLANE STRAIN EQUATIONS [J].
ADKINS, JE .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1958, 6 (04) :267-275
[2]   LARGE ELASTIC DEFORMATIONS OF ISOTROPIC MATERIALS .9. THE DEFORMATION OF THIN SHELLS [J].
ADKINS, JE ;
RIVLIN, RS .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1952, 244 (888) :505-531
[3]   APPLICATION OF FINITE ELASTIC THEORY TO THE DEFORMATION OF RUBBERY MATERIALS [J].
BLATZ, PJ ;
KO, WL .
TRANSACTIONS OF THE SOCIETY OF RHEOLOGY, 1962, 6 :223-251
[4]   FINITE DEFORMATION OF ELASTIC MEMBRANES WITH APPLICATION TO THE STABILITY OF AN INFLATED AND EXTENDED TUBE [J].
CORNELIUSSEN, AH ;
SHIELD, RT .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1961, 7 (04) :273-304
[5]   DYNAMIC BEHAVIOR OF SOAP FILMS [J].
DICKEY, RW .
QUARTERLY OF APPLIED MATHEMATICS, 1966, 24 (02) :97-&
[7]  
Green A., 1954, THEORETICAL ELASTICI
[8]  
Green AE., 1960, LARGE ELASTIC DEFORM
[9]   ELASTICITY PARAMETERS FOR FINITE DEFORMATIONS OF RUBER-LIKE MATERIALS [J].
HARTSMITH, LJ .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1966, 17 (05) :608-+
[10]  
HOPF H, 1955, SELECTED TOPICS DIFF