Constitutive Model for No Tension Materials in Finite Deformations

An extension of the No Tension Material model to finite deformations is proposed. It is based on the hypothesis that the anelastic evolution occurs without dissipation of mechanical power. A relation for a properly defined velocity of anelastic deformations tensor is so obtained, coupled with an hyper-elastic potential that rules the evolution of the elastic strains. The model is numerically implemented, using a linearisation of the time derivatives, that are referred to an intermediate configuration in the finite step. A simple application to a combined compression-shear deformation process shows that the response of the incremental model is reversible.