FINITE ELASTICITY IN SPATIAL DESCRIPTION - LINEARIZATION ASPECTS WITH3-D MEMBRANE APPLICATIONS

The treatment of finite hyperelasticity set on the spatial configurati on is described. The fully consistent linearization of the correspondi ng field equations is carried out in detail, It provides the basis of the exact Newton-Raphson procedure for solution of the associated boun dary value problem. A membrane formulation is presented in which the i ncompressibility constraint usually employed in the description of rub ber-like materials is satisfied trivially. The excellent performance o f the proposed framework is demonstrated by means of 3-D membrane fini te element simulations.