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Basic error estimates for elliptic problems
PG Ciarlet - 1991 - Elsevier
Introduction 23 1. Abstract minimization problems, variational inequalities and the Lax-
Milgram lemma 24 2. The Sobolev spaces H (Q2) and Green's formulae 30 3. Examples of …
Milgram lemma 24 2. The Sobolev spaces H (Q2) and Green's formulae 30 3. Examples of …
Numerical analysis and simulation of plasticity
JC Simo - Handbook of numerical analysis, 1998 - Elsevier
Efforts aimed at understanding the behavior of metals under loading beyond the elastic
regime provided the starting point, at the turn of this century, for the development of a body of …
regime provided the starting point, at the turn of this century, for the development of a body of …
[KNJIGA][B] Computational inelasticity
JC Simo, TJR Hughes - 2006 - books.google.com
This book goes back a long way. There is a tradition of research and teaching in inelasticity
at Stanford that goes back at least to Wilhelm Flugge ̈ and Erastus Lee. I joined the faculty …
at Stanford that goes back at least to Wilhelm Flugge ̈ and Erastus Lee. I joined the faculty …
A class of mixed assumed strain methods and the method of incompatible modes
JC Simo, MS Rifai - International journal for numerical methods …, 1990 - Wiley Online Library
A three‐field mixed formulation in terms of displacements, stresses and an enhanced strain
field is presented which encompasses, as a particular case, the classical method of …
field is presented which encompasses, as a particular case, the classical method of …
Geometrically non‐linear enhanced strain mixed methods and the method of incompatible modes
JC Simo, F Armero - International journal for numerical …, 1992 - Wiley Online Library
A class of 'assumed strain'mixed finite element methods for fully non‐linear problems in solid
mechanics is presented which, when restricted to geometrically linear problems …
mechanics is presented which, when restricted to geometrically linear problems …
Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems
JC Simo, F Armero, RL Taylor - Computer methods in applied mechanics …, 1993 - Elsevier
Improved three-dimensional tri-linear elements for finite deformation problems are
developed based on an assumed enhanced strain methodology which, in the linear regime …
developed based on an assumed enhanced strain methodology which, in the linear regime …
The superconvergent patch recovery (SPR) and adaptive finite element refinement
OC Zienkiewicz, JZ Zhu - Computer Methods in Applied Mechanics and …, 1992 - Elsevier
The error estimation processes which have been developed by the authors depend on the
accuracy with which stresses (gradients) can be recovered. The recovery methods available …
accuracy with which stresses (gradients) can be recovered. The recovery methods available …
On a stress resultant geometrically exact shell model. Part II: The linear theory; computational aspects
JC Simo, DD Fox, MS Rifai - Computer Methods in Applied Mechanics and …, 1989 - Elsevier
Computational aspects of a linear stress resultant (classical) shell theory, obtained by
systematic linearization of the geometrically exact nonlinear theory, considered in Part I of …
systematic linearization of the geometrically exact nonlinear theory, considered in Part I of …
Effects of element distortions on the performance of isoparametric elements
NS Lee, KJ Bathe - International Journal for numerical Methods …, 1993 - Wiley Online Library
We discuss the effects of element distortions on the performance of displacement‐based
isoparametric quadrilateral finite elements. Suitable example problems for both the …
isoparametric quadrilateral finite elements. Suitable example problems for both the …
On large strain viscoelasticity: continuum formulation and finite element applications to elastomeric structures
GA Holzapfel - International Journal for Numerical Methods in …, 1996 - Wiley Online Library
This article deals with the continuum formulation of finite strain viscoelasticity and provides
its numerical simulation with the finite element method. In particular, elastomeric solids …
its numerical simulation with the finite element method. In particular, elastomeric solids …