Displacement finite element models of various beam theories have been developed traditionally using conventional finite element basis functions (i.e., cubic Hermite, equi-spaced Lagrange interpolation functions, or spectral/hp Legendre functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, tota...

SUMMARY We study different variants of the augmented Lagrangian-based block triangular preconditioner introduced by the first two authors in [SIAM J. The preconditioners are used to accelerate the convergence of the Generalized Minimal Residual (GMRES) method applied to various finite element and MAC discretizations of the Oseen problem in two and three space dimensions. Both steady and unstead...

Residual stresses induced by the welding processes may, in some cases, result significant warping and distortions that can endanger integrity of welded structures. This document reports an investigation process to make a dissimilar T-joint through advanced Finite Element (FE) modelling dedicated laboratory test. The consisted two plates materials, AISI304 S275JR steels, both having thickness 5 ...

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In this article, we propose and analyze an effective Hessian recovery strategy for the Lagrangian finite element method of arbitrary order. We prove that the proposed Hessian recovery method preserves polynomials of degree k + 1 on general unstructured meshes and superconverges at a rate of O(hk) on mildly structured meshes. In addition, the method is proved to be ultraconvergent (two orders hi...

In this paper, the applications of mesh-free SPH (Smoothed Particle Hydrodynamics) methodology to the simulation and analysis of 3-D hard machining process is presented. A Langrangian SPH based model is carried out using the Ls-Dyna software. Classical Lagrangian, Eulerian and ALE methods such as finite element methods (FEM) cannot resolve the large distortions very well. Conventional finite el...

This paper discusses the modeling of unsteady-state mass diffusion under concentrationdependent diffusivity through an orthotropic medium. Historically, a simpler one-dimensional formulation with constant medium properties has been used, leading to approximate solutions. The present work uses a finite element formulation with finite difference discretization in time. The code includes an elemen...