A complementary energy formulation of no tension masonry-like solids

Abstract

In the present work a complementary energy formulation for the solution of the static equilibrium problem of no-tension solids is presented. The main feature of the work is systematic use of the augmented Lagrangian approach for the regularisation of the nonsmooth and nondifferentiable anelastic deformation potential. The proposed formulation is applied to derive a finite element formulation using the subspace of the self-equilibrated stresses as primal variables. The code implements the augmented Lagrangian algorithm for the determination of the inelastic deformations. Some numerical examples are included to illustrate the performance of the proposed approach.