Strategies for computing goal-orienteda posteriori error measures in non-linear elasticity

Fredrik Larsson; Peter Hansbo; Kenneth Runesson

doi:10.1002/nme.513

Strategies for computing goal-orienteda posteriori error measures in non-linear elasticity

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.513 ◽

2002 ◽

Vol 55 (8) ◽

pp. 879-894 ◽

Cited By ~ 52

Author(s):

Fredrik Larsson ◽

Peter Hansbo ◽

Kenneth Runesson

Keyword(s):

Linear Elasticity ◽

Posteriori Error ◽

Error Measures ◽

Non Linear

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On pure bending in non-linear elasticity: A circular closed-form 2D solution for semi-linear orthotropic material

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2021.104289 ◽

2021 ◽

pp. 104289

Author(s):

Gordan Jelenić

Keyword(s):

Closed Form ◽

Linear Elasticity ◽

Orthotropic Material ◽

Pure Bending ◽

Non Linear

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A constitutive model for sand based on non-linear elasticity and the state parameter

Computers and Geotechnics ◽

10.1016/j.compgeo.2009.05.009 ◽

2009 ◽

Vol 36 (7) ◽

pp. 1219-1228 ◽

Cited By ~ 4

Author(s):

D.A. Cameron ◽

J.P. Carter

Keyword(s):

Constitutive Model ◽

Linear Elasticity ◽

State Parameter ◽

The State ◽

Non Linear

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An adaptive stabilization strategy for enhanced strain methods in non-linear elasticity

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2734 ◽

2009 ◽

pp. n/a-n/a ◽

Cited By ~ 2

Author(s):

Alex Ten Eyck ◽

Adrian Lew

Keyword(s):

Linear Elasticity ◽

Adaptive Stabilization ◽

Non Linear ◽

Enhanced Strain

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Variational multiscale a posteriori error estimation for systems. Application to linear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.009 ◽

2015 ◽

Vol 285 ◽

pp. 291-314 ◽

Cited By ~ 7

Author(s):

Guillermo Hauke ◽

Diego Irisarri

Keyword(s):

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Variational Multiscale

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Micromechanical modelling of anisotropic non-linear elasticity of granular medium

International Journal of Solids and Structures ◽

10.1016/0020-7683(95)00170-0 ◽

1996 ◽

Vol 33 (18) ◽

pp. 2591-2607 ◽

Cited By ~ 78

Author(s):

F. Emeriault ◽

B. Cambou

Keyword(s):

Linear Elasticity ◽

Granular Medium ◽

Micromechanical Modelling ◽

Non Linear

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New a Posteriori Error Estimator for an Augmented Mixed FEM in Linear Elasticity

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_26 ◽

2014 ◽

pp. 263-271

Author(s):

Tomás P. Barrios ◽

Edwin M. Behrens ◽

María González

Keyword(s):

Linear Elasticity ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

A Posteriori Error Estimator ◽

Posteriori Error Estimator ◽

A Posteriori Error ◽

Mixed Fem

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On the incremental equations in non-linear elasticity — I. Membrane theory

Journal of the Mechanics and Physics of Solids ◽

10.1016/0022-5096(78)90016-9 ◽

1978 ◽

Vol 26 (2) ◽

pp. 93-110 ◽

Cited By ~ 38

Author(s):

D.M. Haughton ◽

R.W. Ogden

Keyword(s):

Linear Elasticity ◽

Membrane Theory ◽

Non Linear ◽

Incremental Equations

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A penalty approximation for a unilateral contact problem in non-linear elasticity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1670110403 ◽

1989 ◽

Vol 11 (4) ◽

pp. 447-458 ◽

Cited By ~ 7

Author(s):

J. Gwinner ◽

B. Brosowski

Keyword(s):

Contact Problem ◽

Linear Elasticity ◽

Unilateral Contact ◽

Non Linear ◽

Penalty Approximation

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Some problems in non-linear elasticity of crystalline solids

Continuum Mechanics and Thermodynamics ◽

10.1007/bf01126717 ◽

1990 ◽

Vol 2 (2) ◽

pp. 99-117 ◽

Cited By ~ 4

Author(s):

M. Pitteri

Keyword(s):

Linear Elasticity ◽

Crystalline Solids ◽

Non Linear

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Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory

Russian Mathematical Surveys ◽

10.1070/rm2008v063n02abeh004516 ◽

2008 ◽

Vol 63 (2) ◽

pp. 283-350 ◽

Cited By ~ 14

Author(s):

A G Kulikovskii ◽

A P Chugainova

Keyword(s):

Elasticity Theory ◽

Linear Elasticity ◽

Linear Elasticity Theory ◽

Non Linear ◽

Solutions Of Equations

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