This paper describes a stress state of membranes of variable thickness at large deformations, namely the deformation of round continuous anisotropic and isotropic membranes of initial variable thickness, which are under the action of a uniformly distributed load. It is assumed that the membrane materials are elastic, and generalized Hooke’s law is used to describe their behavior. This problem is solved using the equation of equilibrium of the membrane element. True principal strains are expressed through dimensionless radial, annular, and normal stresses. An equation that describes the shape of the membrane after deformation and the corresponding boundary conditions are obtained. The dimensionless stresses and the shape of the membrane after deformation are determined. Numerical calculations are carried out for various parameters of the problem.

中文翻译：

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大变形密封橡胶膜的应力应变状态

本文描述了大变形下变厚度膜的应力状态，即初始变厚度圆形连续各向异性和各向同性膜在均匀分布载荷作用下的变形。假设膜材料是弹性的，并使用广义胡克定律来描述它们的行为。这个问题是用膜元件的平衡方程解决的。真正的主应变通过无量纲的径向、环形和法向应力表示。获得了描述变形后膜的形状和相应边界条件的方程。确定无量纲应力和变形后膜的形状。对问题的各种参数进行数值计算。