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On uniqueness in finite elasticity with general loading

https://doi.org/10.1007/bf00044500
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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.3160250505openalex-snapshot
Uniqueness of non‐linear elastic equilibrium for prescribed boundary displacements and sufficiently small strains
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J. L. Lions and E. Magenes, Non‐Homogeneous Boundary Value Problems and Applications, II. (Die Grundlehren d. Math. Wissenschaften, Bd. 182). XI + 242 S. Berlin/Heidelberg/New York 1972. Springer‐Verlag. Preis geb. DM 58,—
inferredcites →https://doi.org/10.1007/978-3-642-46015-9_1openalex-snapshot
The Non-Linear Field Theories of Mechanics
inferredcites →https://doi.org/10.1007/978-3-642-65161-8openalex-snapshot
Non-Homogeneous Boundary Value Problems and Applications
inferredcites →https://doi.org/10.1007/978-3-642-65393-3openalex-snapshot
Non-Homogeneous Boundary Value Problems and Applications
inferredcites →https://doi.org/10.1007/978-3-662-39776-3_3openalex-snapshot
Existence Theorems in Elasticity
inferredcites →https://doi.org/10.1007/bf00250352openalex-snapshot
On stability and uniqueness in finite elasticity
inferredcites →https://doi.org/10.1007/bf00277007openalex-snapshot
Some static and dynamic implications of of the general theory of elastic stability
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/c2013-0-10319-4openalex-snapshot
The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations
inferredcites →https://doi.org/10.1038/071196a0openalex-snapshot
Leçons sur la Propagation des Ondes et les Équations de l'Hydrodynamique
inferredcites →https://doi.org/10.1090/qam/79414openalex-snapshot
General theory of elastic stability
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/10.1007/3-540-12916-2_63openalex-snapshot
On a class of live traction problems in elasticity
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Introduction to Nonlinear Elasticity
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Twinning of Crystals (II)
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Green’s Formulas for Linearized Problems with Live Loads
inferred← citeshttps://doi.org/10.1007/978-3-642-61634-1_21openalex-snapshot
Quasiconvexity and Uniqueness of Equilibrium Solutions in Nonlinear Elasticity
inferred← citeshttps://doi.org/10.1007/978-3-642-75975-8_17openalex-snapshot
Surface Interaction Potentials in Elasticity
inferred← citeshttps://doi.org/10.1007/978-3-642-81811-0_6openalex-snapshot
Duality and Stability Questions for the Linearized Traction Problem with Live Loads in Elasticity
inferred← citeshttps://doi.org/10.1007/978-88-470-2231-7_3openalex-snapshot
Second-Order Surface Potentials in Finite Elasticity
inferred← citeshttps://doi.org/10.1007/978-94-009-7538-5_11openalex-snapshot
On Uniqueness in Finite Elasticity
inferred← citeshttps://doi.org/10.1007/bf00041660openalex-snapshot
On barrelling instabilities in finite elasticity
inferred← citeshttps://doi.org/10.1007/bf00041693openalex-snapshot
A variational approach to live loadings in finite elasticity
inferred← citeshttps://doi.org/10.1007/bf00042210openalex-snapshot
On uniqueness for the traction problem in finite elasticity
inferred← citeshttps://doi.org/10.1007/bf00049454openalex-snapshot
Stability of homogeneous deformations of an incompressible elastic body under dead-load surface tractions
inferred← citeshttps://doi.org/10.1007/bf00248521openalex-snapshot
On uniqueness and bifurcation in nonlinear viscoelasticity
inferred← citeshttps://doi.org/10.1007/bf00250352openalex-snapshot
On stability and uniqueness in finite elasticity
inferred← citeshttps://doi.org/10.1007/bf00281557openalex-snapshot
Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
inferred← citeshttps://doi.org/10.1007/bf00380381openalex-snapshot
Surface interaction potentials in elasticity
inferred← citeshttps://doi.org/10.1007/bf00386246openalex-snapshot
On the traction problem of dead loading in linear elasticity with initial stress
inferred← citeshttps://doi.org/10.1007/s00205-019-01360-1openalex-snapshot
Uniqueness of Equilibrium with Sufficiently Small Strains in Finite Elasticity
inferred← citeshttps://doi.org/10.1007/s00707-018-2315-zopenalex-snapshot
Infinitesimal deformations and stability of rods made of nonlocal elastic materials
inferred← citeshttps://doi.org/10.1007/s10659-018-9671-8openalex-snapshot
On the Uniqueness of Energy Minimizers in Finite Elasticity
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2025.104395openalex-snapshot
Tug-of-war between liquids and membranes
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2026.104537openalex-snapshot
Deformation of elastic plates under configuration-dependent loading
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2026.114322openalex-snapshot
Inextensional membranes under various mechanical environments: Two-dimensional mechanical isoperimetric problems
inferred← citeshttps://doi.org/10.1016/s0168-2024(08)70065-1openalex-snapshot
Bibliography
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Uniqueness and Complementary Energy in Nonlinear Elastostatics
inferred← citeshttps://doi.org/10.1090/qam/575837openalex-snapshot
On continuous dependence in finite elasticity
inferred← citeshttps://doi.org/10.1090/qam/872818openalex-snapshot
The role of ellipticity and normality assumptions in formulating live-boundary conditions in elasticity
inferred← citeshttps://doi.org/10.1142/9789812776273_0002openalex-snapshot
Null Lagrangians and Surface Interaction Potentials in Nonlinear Elasticity
inferred← citeshttps://doi.org/10.1360/sspma-2020-0042openalex-snapshot
Some uniqueness theorems of solutions for the problemsof elasticity
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The relaxation of functionals with surface energies
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