Membranes from the Material Assuming Nonlinear Elastic Properties if Exposed to Aggressive Environment

Abstract

The article considers the behavior of a membrane of an incompressible material under the influence of a two-sided diffusion fracture mechanism, which manifests itself in a change in the initial modulus of elasticity. The object of study is incompressible material membrane. The relationship between deformations and displacements was established in the framework of the nonlinear theory of elasticity in accordance with the Karman formalism. For the phenomenological model, the maximum tensile stresses arising in a nonlinear elastic membrane are obtained, depending on the level of aggressiveness of the medium and the intensity of the acting uniformly distributed load. The resulting solution reflects the operation of the membrane, taking into account the accumulation of defects affecting the stress state. Nonlinearity of the results is manifested to a greater extent as defects accumulate.