Finite Inflation Analysis of Two Circumferentially Bonded Hyperelastic Circular Flat Membranes

Abstract

A finite inflation analysis of two circumferentially bonded hyperelastic circular flat mem branes with uniform internal pressure is presented. The governing equations of equilib rium are obtained using the variational formulation. By making a suitable change in the field variables, the problem is formulated as a set of two coupled nonlinear two point boundary value problem (TPBVP) and is solved using the shooting method. Membranes o f identical and dissimilar material properties are considered in the analysis. For dissim ilar membranes, asymmetric inflation, and remarkably, deflation (after an initial phase of inflation) in one o f the membranes in certain cases, has been observed. The effect of infla tion pressure and material properties on the geometry of inflated configuration, state of stress, and the impending wrinkling condition of the membranes are also studied. This work has relevance to tunable inflated reflectors and lenses among other applications.

Identification of Material Parameters of a Hyper-Elastic Body With Unknown Boundary Conditions

“…Hyper-elastic materials are capable of representing the nonlinear stress-strain response of elastic materials when subjected to large deformations. Hyper-elastic material modeling has received much attention to in the past and still continuous in analyzing the mechanical behavior of polymeric materials to soft tissues [33][34][35][36].…”