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TENSILE INSTABILITY OF NONLINEAR SPHERICAL MEMBRANE WITH LARGE DEFORMATION

TENSILE INSTABILITY OF NONLINEAR SPHERICAL MEMBRANE WITH LARGE DEFORMATION
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摘要 The problem on instability on nonlinear spherical membrane with large axisymmetric tensile deformations is investigated by using the bifurcation theory. It is proved that all singular points of the nonlinear boundary value problem must be simple limit points. The effect of loading and material parameters on the equilibrium state and its stability is discussed. The problem on instability on nonlinear spherical membrane with large axisymmetric tensile deformations is investigated by using the bifurcation theory. It is proved that all singular points of the nonlinear boundary value problem must be simple limit points. The effect of loading and material parameters on the equilibrium state and its stability is discussed.
作者 尚新春
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第10期993-1000,共8页 应用数学和力学(英文版)
基金 The Project supported by the National Natural Science Foundation of China
关键词 Mathematical Techniques Boundary Value Problems Mathematical Techniques Nonlinear Equations Membranes Stability Mathematical Techniques Boundary Value Problems Mathematical Techniques Nonlinear Equations Membranes Stability
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