A Continuum Model for Circular Graphene Membranes Under Uniform Lateral Pressure

Despite the numerous applications of pressurized graphene membranes in new technologies, there is still a lack accurate mechanical models. In this work we develop continuum model for circular subjected to uniform lateral pressure. We adopt semi-inverse method by defining simplified kinematics deformation and describe material behavior with stored energy function that takes into account both nonlinearity anisotropy graphene. An expression applied pressure as deflection membrane obtained from an approximate solution equilibrium. The simplifying hypotheses analytical are verified finite element (FE) analysis nonlinear elasticity. addition, numerical differential equilibrium equations exact theory presented. pressure-deflection response FE solutions agree well prediction formula, demonstrating its accuracy. then employed two-layered composite made deposited onto soft substrate. This application great interest since nanotechnologies make use layered nanocomposites. Differently our entirely approach, most models literature based on assumption linear elastic material, which suitable only when deformations small. present gives comprehensive description mechanics membranes.