In this article, we propose a new solution scheme for modeling elastoplastic problems with stress wave propagation in dissipative media. The is founded on generalized Hellinger–Reissner (HR) variational principle. principle renders the discretized boundary-value problem into an equivalent second-order cone programming (SOCP) that can be resolved mathematical using advanced optimization algorith...

The application of finite element methods to problems in structural acoustics ( the vibration of an elastic body coupled to an acoustic fluid medium) is considered. New stabilized methods based on the Hellinger-Reissner variational principle with a generalized least-squares modification are developed which yield improvement in accuracy over the standard Galerkin finite element method for both i...

In this paper, we construct new finite element methods for the approximation of the equations of linear elasticity in three space dimensions that produce direct approximations to both stresses and displacements. The methods are based on a modified form of the Hellinger–Reissner variational principle that only weakly imposes the symmetry condition on the stresses. Although this approach has been...

Abstract. In this paper, we derive and analyze a Reissner–Mindlin–like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger– Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymp...

A unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the Hellinger-Reissner principle. This quasi-optimally converging extension of PEERS (Plane Elasticity Element with Reduced Symmetry) is called Dual-Mixed Hybrid formulation (DMH). Explicit residual-based a posteriori error estimates for DMH...

In the present work, novel hybrid elements are proposed to alleviate locking anomaly in non-uniform rational B-spline-based isogeometric analysis (IGA) using a two-field Hellinger–Reissner variational principle. The derived by adopting independent interpolation schemes for displacement and stress fields. key highlight of study is choice evaluation higher-order terms function provide locking-fre...

We develop a novel numerical model incorporating damage mechanics formulation into the particle finite element method for analysing pre- and post-failure behaviour of faulted rock slopes. In this computational framework, stress-driven strain localisation evolution are modelled based on an isotropic model; discontinuity structures like fault zones represented as thin continuum layers with equiva...

Within the framework of multifield continua, we move from the model of elastic microcracked body introduced in (Mariano, P.M. and Stazi, F.L., Strain localization in elastic microcracked bodies, Comp. Methods Appl. Mech. Engrg. 2001, 190, 5657–5677) and propose a few novel variational formulations of mixed type along with relevant mixed FEM discretizations. To this goal, suitably extended Helli...