POINT LOADS ON A HEMISPHERICAL ELASTIC MEMBRANE

被引:33
作者
LI, X
STEIGMANN, DJ
机构
[1] Department of Mechanical Engineering, University of Alberta, Edmonton
关键词
D O I
10.1016/0020-7462(95)00019-K
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We analyze axisymmetric equilibrium deformations of a pressurized, hemispherical, isotropic elastic membrane subjected to a concentrated force at its pole. Wrinkling of the membrane is taken into account by using a relaxed energy derived from Ogden's three-term strain energy function. The special features of the theory in wrinkled regions of the membrane are used to reduce the analysis to quadratures. Existence of solutions requires that the uniaxial stress-stretch relation satisfy a certain growth condition for large stretches.
引用
收藏
页码:569 / 581
页数:13
相关论文
共 21 条
[1]  
ANG WH, 1970, J APPL MECH, V37, P1003
[2]   FINE PHASE MIXTURES AS MINIMIZERS OF ENERGY [J].
BALL, JM ;
JAMES, RD .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 100 (01) :13-52
[3]  
BEATTY MF, 1986, J APPL MECH, V108, P807
[4]  
COHEN H, 1984, ARCH RATION MECH AN, V85, P343
[5]   LARGE DEFORMATIONS UNDER VERTICAL EDGE LOADS OF ANNULAR MEMBRANES WITH VARIOUS STRAIN-ENERGY DENSITIES [J].
FULTON, JP ;
SIMMONDS, JG .
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1986, 21 (04) :257-267
[6]  
Graves L., 1939, DUKE MATH J, V5, P656
[7]  
Green AE, 1970, LARGE ELASTIC DEFORM
[8]   THEORETICAL FLEXURAL RESPONSE OF A PRESSURIZED CYLINDRICAL MEMBRANE [J].
HASEGANU, EM ;
STEIGMANN, DJ .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1994, 31 (01) :27-50
[9]   SOME NUMERICAL INVESTIGATIONS ON EMPIRICAL STRAIN ENERGY FUNCTIONS IN LARGE AXI-SYMMETRIC EXTENSIONS OF RUBBER MEMBRANES [J].
KLINGBEIL, WW ;
SHIELD, RT .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1964, 15 (06) :608-+
[10]   FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL ELASTIC MEMBRANE ENCLOSING A RIGID BODY [J].
KYDONIEFS, AD .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1969, 22 :319-+