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On the absence of bifurcation for elastic bars in uniaxial tension

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/cpa.3160160109openalex-snapshot
The coerciveness problem for forms over vector valued functions
inferredcites →https://doi.org/10.1007/978-3-642-46015-9_1openalex-snapshot
The Non-Linear Field Theories of Mechanics
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Inequalities in Mechanics and Physics
inferredcites →https://doi.org/10.1007/978-3-662-39776-3_1openalex-snapshot
The Linear Theory of Elasticity
inferredcites →https://doi.org/10.1007/978-3-662-39776-3_3openalex-snapshot
Existence Theorems in Elasticity
inferredcites →https://doi.org/10.1007/bf00041087openalex-snapshot
Shear and necking instabilities in nonlinear elasticity
inferredcites →https://doi.org/10.1007/bf00041660openalex-snapshot
On barrelling instabilities in finite elasticity
inferredcites →https://doi.org/10.1007/bf00042210openalex-snapshot
On uniqueness for the traction problem in finite elasticity
inferredcites →https://doi.org/10.1007/bf00049187openalex-snapshot
On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
inferredcites →https://doi.org/10.1007/bf00126984openalex-snapshot
Equilibrium of bars
inferredcites →https://doi.org/10.1007/bf00126996openalex-snapshot
On the ellipticity of the equations of nonlinear elastostatics for a special material
inferredcites →https://doi.org/10.1007/bf00249360openalex-snapshot
Co-existent phases in the one-dimensional static theory of elastic bars
inferredcites →https://doi.org/10.1007/bf00250352openalex-snapshot
On stability and uniqueness in finite elasticity
inferredcites →https://doi.org/10.1007/bf00250723openalex-snapshot
Ordinary differential equations of non-linear elasticity II: Existence and regularity theory for conservative boundary value problems
inferredcites →https://doi.org/10.1007/bf00251549openalex-snapshot
On copositive matrices and strong ellipticity for isotropic elastic materials
inferredcites →https://doi.org/10.1007/bf00279991openalex-snapshot
On the failure of ellipticity of the equations for finite elastostatic plane strain
inferredcites →https://doi.org/10.1016/0022-247x(73)90063-2openalex-snapshot
Nonuniqueness of equilibrium states for bars in tension
inferredcites →https://doi.org/10.1016/0022-3697(61)90229-3openalex-snapshot
Large elastic deformations and non-linear continuum mechanics
inferredcites →https://doi.org/10.1016/0022-5096(57)90016-9openalex-snapshot
On uniqueness and stability in the theory of finite elastic strain
inferredcites →https://doi.org/10.1016/0022-5096(58)90029-2openalex-snapshot
A general theory of uniqueness and stability in elastic-plastic solids
inferredcites →https://doi.org/10.1016/0022-5096(71)90020-2openalex-snapshot
Bifurcation in plastic flow under uniaxial tension
inferredcites →https://doi.org/10.1016/0022-5096(72)90035-xopenalex-snapshot
A numerical study of necking in circular cylindrical bar
inferredcites →https://doi.org/10.1016/0022-5096(74)90014-3openalex-snapshot
Bifurcation analysis of the onset of necking in an elastic/plastic cylinder under uniaxial tension
inferredcites →https://doi.org/10.1016/0022-5096(75)90027-7openalex-snapshot
Bifurcation phenomena in the plane tension test
inferredcites →https://doi.org/10.1016/b978-0-08-024249-1.50036-4openalex-snapshot
Some Reflections on Material Stability
inferredcites →https://doi.org/10.1016/s0076-5392(08)x6102-8openalex-snapshot
An Introduction to Continuum Mechanics
inferredcites →https://doi.org/10.1090/qam/736510openalex-snapshot
On barrelling for a special material in finite elasticity
inferredcites →https://doi.org/10.1090/qam/79414openalex-snapshot
General theory of elastic stability
inferredcites →https://doi.org/10.1090/qam/99765openalex-snapshot
Axisymmetric bifurcation in an elastic-plastic cylinder under axial load and lateral hydrostatic pressure
inferredcites →https://doi.org/10.1090/s0002-9904-1961-10622-8openalex-snapshot
Inequalities for formally positive integro-differential forms
inferredcites →https://doi.org/10.1098/rsta.1982.0095openalex-snapshot
Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
inferredcites →https://doi.org/10.1115/1.3167763openalex-snapshot
An Introduction to Continuum Mechanics
inferredcites →https://doi.org/10.1115/1.3424078openalex-snapshot
Inequalities in Mechanics and Physics
inferredcites →https://doi.org/10.1122/1.548937openalex-snapshot
Application of Finite Elastic Theory to the Deformation of Rubbery Materials
inferredcites →https://doi.org/10.1215/s0012-7094-37-00346-6openalex-snapshot
On the necessary conditions for the minimum of a double integral
inferredcites →https://doi.org/10.1215/s0012-7094-39-00554-5openalex-snapshot
The Weierstrass condition for multiple integral variation problems
inferredcites →https://doi.org/10.4153/cjm-1956-051-2openalex-snapshot
Implications Of Hadamard's Conditions For Elastic Stability With Respect To Uniqueness Theorems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/1-4020-2308-1_27openalex-snapshot
Global Bifurcation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns
inferred← citeshttps://doi.org/10.1007/978-0-8176-4671-4_22openalex-snapshot
Two-Sided Estimates for Local Minimizers in Compressible Elasticity
inferred← citeshttps://doi.org/10.1007/978-3-031-43210-1_11openalex-snapshot
Equilibrium Stability of Nonlinearly Elastic Cylindrical Tube with Distributed Dislocations Under Axial Compression
inferred← citeshttps://doi.org/10.1007/978-94-007-1884-5_42openalex-snapshot
On the Stability of Incompressible Elastic Cylinders in Uniaxial Extension
inferred← citeshttps://doi.org/10.1007/bf00040933openalex-snapshot
Nonuniqueness of equilibrium states for axisymmetric elastic shells in tension
inferred← citeshttps://doi.org/10.1007/bf00042084openalex-snapshot
Stability of homogeneous deformations in nonlinear elasticity
inferred← citeshttps://doi.org/10.1007/bf00054799openalex-snapshot
Some remarks on the stability of the homogeneous deformation for an elastic bar
inferred← citeshttps://doi.org/10.1007/bf00276914openalex-snapshot
Existence and stability of necking deformations for nonlinearly elastic rods
inferred← citeshttps://doi.org/10.1007/bfb0072157openalex-snapshot
Erratum
inferred← citeshttps://doi.org/10.1007/s00161-020-00876-2openalex-snapshot
Equilibrium stability of nonlinear elastic sphere with distributed dislocations
inferred← citeshttps://doi.org/10.1007/s00161-023-01255-3openalex-snapshot
Influence of dislocations on equilibrium stability of nonlinearly elastic cylindrical tube with hydrostatic pressure
inferred← citeshttps://doi.org/10.1007/s10659-005-9032-2openalex-snapshot
On Constructing the Unique Solution for the Necking in a Hyper-Elastic Rod
inferred← citeshttps://doi.org/10.1007/s10659-008-9175-zopenalex-snapshot
Weak Local Minimizers in Finite Elasticity
inferred← citeshttps://doi.org/10.1007/s10659-011-9330-9openalex-snapshot
On the Stability of Incompressible Elastic Cylinders in Uniaxial Extension
inferred← citeshttps://doi.org/10.1007/s10659-014-9510-5openalex-snapshot
On the Global Stability of Compressible Elastic Cylinders in Tension
inferred← citeshttps://doi.org/10.1016/s0021-8928(96)00098-6openalex-snapshot
The instability of a non-linearly elastic beam under tension
inferred← citeshttps://doi.org/10.1023/b:elas.0000005562.30458.43openalex-snapshot
Global Bifurcation in Nonlinear Elasticity with an Application to Barrelling States of Cylindrical Columns
inferred← citeshttps://doi.org/10.1093/qjmam/hbx006openalex-snapshot
Necking in two-dimensional incompressible polyconvex materials: theoretical framework and numerical simulations
inferred← citeshttps://doi.org/10.1098/rspa.2009.0368openalex-snapshot
On the global stability of two-dimensional, incompressible, elastic bars in uniaxial extension
inferred← citeshttps://doi.org/10.1115/1.2723824openalex-snapshot
Instability of a Hollow Elastic Cylinder Under Tension, Torsion, and Inflation
inferred← citeshttps://doi.org/10.1177/1081286514543599openalex-snapshot
A lower bound estimate of the critical load in bifurcation analysis for incompressible elastic solids
inferred← citeshttps://doi.org/10.18260/1-2--12019openalex-snapshot
Introduction To Matlab Using A Theoretical Mechanics Study Case
inferred← citeshttps://doi.org/10.24423/engtrans.736.2016openalex-snapshot
Equilibrium and Stability of Nonlinearly Elastic Cylinder Made of Blatz-Ko Material
inferred← citeshttps://doi.org/10.32326/1814-9146-2019-81-1-30-39openalex-snapshot
STABILITY OF A CYLINDER FROM MURNAGHAN MATERIAL UNDER STRETCHING, COMPRESSION AND INFLATION
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