Within the framework of plane strain nonlinear elasticity, we present a discussion on stability properties various Enhanced Assumed Strain (EAS) finite element formulations with respect to physical and artificial (hourglassing) instabilities. By means linearized buckling analysis analyze influence geometric stiffness provide new mechanical insights into hourglassing phenomenon. Based these find...

one of the simplest numerical integration method which provides a large saving in computational efforts, is the well known one-point Gauss quadrature which is widely used for 4 nodes quadrilateral elements. On the other hand, the biggest disadvantage to one-point integration is the need to control the zero energy modes, called hourglassing modes, which arise. The efficiency of four different an...

Abstract We present a novel geometrically nonlinear EAS element with several desirable features. First, Petrov–Galerkin ansatz significantly improves the element's performance in distorted meshes without loosing simple strain‐driven format. Second, recently proposed mixed integration point strategy is employed to improve robustness Newton–Raphson scheme. Finally and most importantly, we enhance...

We describe a new remapping algorithm for use in arbitrary Lagrangian–Eulerian (ALE) simulations. The new features of this remapper are designed to complement a staggered-mesh Lagrangian phase in which the cells may be general polygons (in two dimensions), and which uses subcell discretizations to control unphysical mesh distortion and hourglassing. Our new remapping algorithm consists of three...