INSTABILITY OF TOROIDAL MEMBRANE WITH LARGE TENSILE DEFORMATION

被引:0
|
作者
尚新春
程昌钧
机构
[1] Lanzhou University
[2] Lanzhou
[3] Department of Mechanics
关键词
hyperelasticity; large deformation; fundamental equation; shooting method; tensile instability;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper,the problem of large axisymmetric deformation of hyperelasticmembrane is reformulated on the basis of the general theory of finite elasticity.From thefundamental equations derived here,the tensile instability of toroidal rubberlike membranewith Mooney-Rivlin’s model constitutive relation is solved by using the shooting method.The upper and lower limit loads and the response curve of the displacement to the load aregiven.
引用
收藏
页码:557 / 564
页数:8
相关论文
共 50 条
  • [1] TENSILE INSTABILITY OF NONLINEAR SPHERICAL MEMBRANE WITH LARGE DEFORMATION
    尚新春
    AppliedMathematicsandMechanics(EnglishEdition), 1991, (10) : 993 - 1000
  • [2] RBC MEMBRANE INSTABILITY FOR LARGE PIPETTE DEFORMATION - A THEORETICAL APPROACH
    KOZLOV, MM
    LERCHE, D
    MEIER, W
    BIORHEOLOGY, 1988, 25 (06) : 843 - 856
  • [3] FINITE DEFORMATION OF A PRESSURIZED TOROIDAL MEMBRANE
    LI, X
    STEIGMANN, DJ
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1995, 30 (04) : 583 - 595
  • [4] A remedy to mitigate tensile instability in SPH for simulating large deformation and failure of geomaterials
    Jana, Tapan
    Pal, Subhankar
    Shaw, Amit
    Ramachandra, L. S.
    ADVANCES IN ENGINEERING SOFTWARE, 2025, 201
  • [5] DEFORMATION INSTABILITY AND TENSILE ELONGATION IN METALS
    OKUDA, MY
    RODRIGUEZ, MCC
    CETLIN, PR
    SCRIPTA METALLURGICA, 1977, 11 (02): : 101 - 105
  • [6] TENSILE INSTABILITY IN CASES OF LARGE DEFORMATIONS
    GRIGORIE.AS
    GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 14 (1-4): : 129 - &
  • [7] Finite Axisymmetric Deformation of an Inflatable Anisotropic Toroidal Membrane
    Filippov, Sergei B.
    Tovstik, Peter E.
    SHELL AND MEMBRANE THEORIES IN MECHANICS AND BIOLOGY: FROM MACRO- TO NANOSCALE STRUCTURES, 2015, : 169 - 186
  • [8] Development of deformation instability in hot tensile test specimens
    Elfmark, Jiri
    Metallurgical transactions. A, Physical metallurgy and materials science, 1991, 22 A (10): : 2297 - 2302
  • [9] DEVELOPMENT OF DEFORMATION INSTABILITY IN HOT TENSILE TEST SPECIMENS
    ELFMARK, J
    METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1991, 22 (10): : 2297 - 2302
  • [10] Coupled electro-elastic deformation and instabilities of a toroidal membrane
    Liu, Zhaowei
    McBride, Andrew
    Sharma, Basant Lal
    Steinmann, Paul
    Saxena, Prashant
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2021, 151 (151)