Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods

JM Guedes, N Kikuchi - Computer methods in applied mechanics and …, 1990 - Elsevier
This paper discusses the homogenization method to determine the effective average elastic
constants of linear elasticity of general composite materials by considering their …

Computational modelling of single crystals

AM Cuitino, M Ortiz - … and Simulation in Materials Science and …, 1993 - iopscience.iop.org
The physical basis of computationally tractable models of crystalline plasticity is reviewed. A
statistical mechanical model of dislocation motion through forest dislocations is formulated …

Adaptive Lagrangian modelling of ballistic penetration of metallic targets

GT Camacho, M Ortiz - Computer methods in applied mechanics and …, 1997 - Elsevier
A Lagrangian finite element model of ductile penetration is developed. Adaptive meshing is
accorded a key role in following the large deformations which develop during penetration …

[책][B] Mastering calculations in linear and nonlinear mechanics

P Ladevèze, JP Pelle - 2005 - Springer
Mechanical engineering, an engineering discipline forged and shaped by the needs of the
industrial revolution, is once again asked to do its substantial share in the call for industrial …

Adaptive mesh refinement in strain localization problems

M Ortiz, JJ Quigley Iv - Computer Methods in Applied Mechanics and …, 1991 - Elsevier
An adaptive meshing method tailored to problems of strain localization is given. The
adaption strategy consists of equi-distributing the variation of the velocity field over the …

Error estimation and adaptive meshing in strongly nonlinear dynamic problems

R Radovitzky, M Ortiz - Computer Methods in Applied Mechanics and …, 1999 - Elsevier
We present work aimed at develo** a general framework for mesh adaption in strongly
nonlinear, possibly dynamic, problems. We begin by showing that the solutions of the …

Validation of a posteriori error estimators by numerical approach

I Babuška, T Strouboulis, CS Upadhyay… - … journal for numerical …, 1994 - Wiley Online Library
A numerical methodology which determines the quality (or robustness) of a posteriori error
estimators is described. The methodology accounts precisely for the factors which affect the …

Parametric shape optimization techniques based on Meshless methods: A review

SD Daxini, JM Prajapati - Structural and Multidisciplinary Optimization, 2017 - Springer
In the product development process, structural optimization plays vital role because it deals
with size, shape and topology of the structures. However, structural performance greatly …

Mesh smoothing using a posteriori error estimates

RE Bank, RK Smith - SIAM Journal on Numerical Analysis, 1997 - SIAM
We develop a simple mesh-smoothing algorithm for adaptively improving finite-element
triangulations. The algorithm makes use of a posteriori error estimates which are now widely …

Adaptive grid generation

PR Eiseman - Computer Methods in Applied Mechanics and …, 1987 - Elsevier
A review of adaptive grid generation is presented with an emphasis on the basic concepts
and the interrelationship between the various methods. The concepts are developed in a …