Comparison of results from four linear constitutive relations in isotropic finite elasticity (original) (raw)

Linear constitutive relations in isotropic finite elasticity

Romesh Batra

1998

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Universal relations for transversely isotropic elastic materials

Romesh Batra

2002

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Generalization of strain-gradient theory to finite elastic deformation for isotropic materials

alireza beheshti

Continuum Mechanics and Thermodynamics, 2016

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Implicit constitutive relations for visco-elastic solids: Part II. Non-homogeneous deformations

oscar F orellana

International Journal of Non-linear Mechanics, 2020

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Deformation produced by a simple tensile load in an isotropic elastic body

Romesh Batra

1976

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A Primer in Elasticity

P. Podio-Guidugli

Journal of Elasticity - J ELAST, 2000

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Nonlinear transversely isotropic elastic solids: an alternative representation

MHBM Shariff

The Quarterly Journal of Mechanics and Applied Mathematics, 2008

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Simple Shearing of Incompressible and Slightly Compressible Isotropic Nonlinearly Elastic Materials

Cornelius (''Niall") O Horgan

Journal of Elasticity, 2010

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Finite homogeneous deformations of symmetrically loaded compressible membranes

Angelo Tarantino, Andrea Nobili

Zeitschrift für angewandte Mathematik und Physik, 2007

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Three-dimensional finite element analysis of finite deformation micromorphic linear isotropic elasticity

Yusuf Mehta

International Journal of Engineering Science, 2011

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Large Deformation Constitutive Laws for Isotropic Thermoelastic Materials

Bradley Plohr

2012

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A Generalized Strain Approach to Anisotropic Elasticity

MHBM Shariff

2021

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Homogeneity conditions for elastic membranes

marcelo epstein

Acta Mechanica, 1983

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ON THE THERMOPLASTICITY CONSTITUTIVE RELATIONS FOR ISOPTOPIC AND TRANSVERSELY ISOTROPIC MATERIALS

TJPRC Publication

Transstellar Journals, 2019

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On local and global universal relations in elasticity

Alan Wineman

Journal of Elasticity, 1984

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On transformation laws for plastic deformations of materials with elastic range

Miroslav Silhavy

Arch Ration Mech Anal, 1977

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Theory of Elasticity

Dionysis Valkanis

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Second-order elasticity with axial symmetry—I General theory

A. Selvadurai

International Journal of Engineering Science, 1972

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Constitutive modeling of solids at finite deformation using a second-order stress–strain relation

Hossein Darijani

International Journal of Engineering Science, 2010

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Two-dimensional static deformation of an anisotropic medium

Dinesh Kumar Madan

Sadhana, 2005

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Transversely isotropic materials undergoing large deformations and application to modelling of soft tissues

Stanisław Jemioło

Mechanics Research Communications - MECH RES COMMUN, 2001

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On anisotropic elasticity and questions concerning its Finite Element implementation

Luigi Vergori

Computational Mechanics, 2013

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On the coincidence of the principal axes of stress and strain in isotropic elastic bodies

Romesh Batra

1975

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On nonlinear dilatational strain gradient elasticity

Antonio Cazzani

Continuum Mechanics and Thermodynamics, 2021

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On Asymptotic Rigidity and Continuity Problems in Nonlinear Elasticity

Siran Li

2021

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ON FIRST STRAIN-GRADIENT THEORIES IN LINEAR ELASTICITY

Panos Gourgiotis

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Plane deformations of shear-resisting membranes formed of elastic cords

Jingyu Shi

Journal of Engineering Mathematics, 1992

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The geometry of nonlinear elasticity

Raffaele Barretta

Acta Mechanica, 2014

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At least three invariants are necessary to model the mechanical response of incompressible, transversely isotropic materials

Michel Destrade

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An Eulerian multiplicative constitutive model of finite elastoplasticity

mahdi heidari

European Journal of Mechanics A-solids, 2009

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On the third-and fourth-order constants of incompressible isotropic elasticity

Michel Destrade

2010

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Effective behaviour of elastic heterogeneous thin structures at finite deformations

Stefan Loehnert

Computational Mechanics, 2007

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Initial stresses in elastic solids: Constitutive laws and acoustoelasticity

Michel Destrade

2011

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Kinematics of deformation processes in materials subjected to finite elastic-plastic strains

M. Kleiber

International Journal of Engineering Science, 1975

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Elastic bodies reinforced with inextensible surfaces

Domenico De Tommasi

Journal of Elasticity, 1996

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