Abstract

In this article we present numerical methods for the approximation of incompressible flows. We have addressed three problems: the stationary Stokes’ problem, the transient Stokes’ problem, and the general motion of newtonian fluids. In the three cases a discretization [...]

Abstract

This paper presents the application of stabilized mixed explicit strain/displacement formulation (MEX-FEM) [23, 24] for solving non-linear plasticity problems in solid mechanics with strain localization. In order to use the same linear interpolation order for displacements and [...]

Abstract

This study presents a mixed finite element formulation able to address nearly-incompressible problems explicitly. This formulation is applied to elements with independent and equal interpolation of displacements and strains, stabilized by variational subscales (VMS). As a continuation [...]

Abstract

A multidimensional extension of the HRPG method using the lowest order block finite elements [...]

Abstract

The characteristic‐based split (CBS) stabilization procedure developed originally in fluid mechanics has been adapted successfully to solid mechanics problems. The CBS algorithm has been [...]

Abstract

The use of stabilization methods is becoming an increasingly well-accepted technique due to their success in dealing with numerous numerical pathologies that arise in a variety [...]

Abstract

This paper deals with the question of strain localization associated with materials which exhibit softening due to tensile straining. A standard local isotropic Rankine damage model with [...]

Abstract

This paper presents the application of a stabilized mixed strain/displacement finite element formulation for the solution of nonlinear solid mechanics problems involving compressible and [...]

Abstract

This paper presents an explicit mixed finite element formulation to address compressible and quasi-incompressible problems in elasticity and plasticity. [...]

Abstract

The expression “finite calculus” refers to the derivation of the governing differential equations in mechanics by invoking balance of fluxes, forces, etc. in a space-time domain of finite size. The governing equations resulting from this approach are different from [...]