A consistent finite element formulation of nonlinear membrane shell theory with particular reference to elastic rubberlike material (Q1261563)

We present a nonlinear membrane theory for rubberlike shells accounting for large elastic strains. We discuss the material model given as a general coaxial form of stress and strain measures. It includes, as a special case, the hyperelastic model in terms of principal stretches which is often used to characterize rubberlike materials. The displacement-based finite elements are used. Cartesian coordinate systems are constructed locally at each numerical integration point in order to simplify computations.