slab method of analysis has been used for solving metal forming problems for a long time. however it has been restricted to plane strain and axisymmetric problems due to limitations in its formulations. in this paper a new formulation has been proposed so that it could be applied to three dimensional problems in metal forming. a parametric slab has been considered in this analysis and the force...

this study focuses on the optimization of the plane structure. sequential quadratic programming (sqp) will be utilized, which is one of the most efficient methods for solving nonlinearly constrained optimization problems. a new formulation for the second order sensitivity analysis of the two-dimensional finite element will be developed. all the second order required derivatives will be calculat...

This paper describes RHALE, a two and three-dimensional, multi-material, arbitrary Lagrangian-Eulerian (MMALE) shock physics code written in C++. RHALE is the successor to CTH, Sandia’s 3-D Eulerian shock physics code, and will be capable of solving problems that CTH cannot adequately address. RHALE employs a three step solution algorithm for the equations of motion: (1) a Lagrangian step capab...

Three-dimensional enriched finite elements are used to compute mixed-mode stress intensity factors (SIFs) for three-dimensional cracks in elastic functionally graded materials (FGMs) that are subject to general mixed-mode loading. The method, which advantageously does not require special mesh configuration/modifications and post-processing of finite element results, is an enhancement of previou...

In this paper, the compressive behavior of composite laminates with multiple through-the-width delaminations is investigated analytically. The analytical method is based on the CLPT theory and its formulation is developed on the basis of the Rayleigh-Ritz approximation technique to analyze the buckling and post-buckling behavior of the delaminated laminates. The method can handle both local buc...

A new high-resolution scheme is developed for convection–diffusion problems in domains with moving boundaries. A finite element approximation of the governing equation is designed within the framework of a conservative Arbitrary Lagrangian Eulerian (ALE) formulation. An implicit flux-corrected transport (FCT) algorithm is implemented to suppress spurious undershoots and overshoots appearing in ...

A Conservative Finite Element ALE Scheme for Mass-Conservative Reaction-Diffusion Equations on Evolving Two-Dimensional Domains

This paper presents a multi‐dimensional high‐order discontinuous Galerkin (DG) method in an arbitrary Lagrangian‐Eulerian (ALE) formulation to simulate flows over variable domains with moving and deforming meshes. It is an extension of the gas‐kinetic DG method proposed by the authors for static domains (X. Ren et al., A multi‐dimensional high‐order discontinuous Galerkin method based on gas ki...

Topology optimization has been an interesting area of research in recent years.  The main focus of this paper is to use an evolutionary swarm intelligence algorithm to perform Isogeometric Topology optimization of continuum structures.  A two-dimensional plate is analyzed statically and the nodal displacements are calculated.  The nodal displacements using Isogeometric analysis are found to be ...