A semi-analytical solution for deformation of elasto-viscoplastic circular thin plates under axisymmetric loading

Abstract

For a circular plate under axisymmetric loading a semi-analytical solution is derived. It is supposed that the total strain tensor can be decomposed additively into a purely elastic and an inelastic part. The evolution of the inelastic strain is governed by a constitutive model with internal state variables. The inelastic boundary value problem is solved analytically. The initial value problem posed by the inelastic constitutive model is integrated numerically. Numerical results are presented for a full, clamped plate under uniform, but time dependent pressure where the inelastic deformation is governed by Hart's constitutive model.