homotopy between the elastic and elastoplastic bvp solutions 1 A homotopy between the solutions of the elastic and the elastoplastic boundary value problem

In this article, we give an explicit homotopy between the solutions (i.e. stress, strain, displacement) of the quasistatic linear elastic and the quasistatic nonlinear elastoplastic boundary value problems, where we assume a linear kinematic hardening material law. We give error estimates with respect to the homotopy parameter.