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Buckling of an elastic hemispherical shell with an obstacle
We study the buckling of an axially symmetric elastic hemispherical shell, uniformly compressed, subject to a constraint to the radial shifting of...
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Reformation Instability in Elastic Solids
The reformation of a body fundamentally involves the map** of one natural reference configuration of it into another natural reference...
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On the Stability of Incompressible Elastic Cylinders in Uniaxial Extension
Consider a cylinder (not necessarily of circular cross-section) that is composed of a hyperelastic material and which is stretched parallel to its...
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Energy Minimization for an Elastic Fluid
For a homogeneous elastic fluid, the specific internal energy function depends on the deformation gradient through the specific volume, which is...
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Elastic Solutions for Masonry-like Panels
The problem of equilibrium for normal elastic no-tension materials can be formulated as a minimum problem for the complementary energy functional...
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Modeling the Behavior of Heat-Shrinkable Thin Films
We describe an asymptotic model for the behavior of PET-like heat-shrinkable thin films that includes both membrane and bending energies when the...
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Cavitation, Invertibility, and Convergence of Regularized Minimizers in Nonlinear Elasticity
We prove that energy minimizers for nonlinear elasticity in which cavitation is allowed only at a finite number of prescribed flaw points can be...
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The Variational Approach to Fracture Mechanics. A Practical Application to the French Panthéon in Paris
Recently, Francfort and Marigo (J. Mech. Phys. Solids 46, 1319–1342,
1998 ) have proposed a novel approach to fracture mechanics based upon the global... -
Energy Minimising Properties of the Radial Cavitation Solution in Incompressible Nonlinear Elasticity
Consider an incompressible, hyperelastic material occupying the unit ball B ⊂ℝ n in its reference state. Suppose that the deformation u : B →ℝ ...
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Coexistent Fluid-Phase Equilibria in Biomembranes with Bending Elasticity
The theory of fluid surfaces with elastic resistance to bending is applied to coexistent phase equilibria in biomembranes composed of lipid bilayers....
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Weak Local Minimizers in Finite Elasticity
This paper deals with necessary conditions and sufficient conditions for a weak local minimum of the energy of a hyperelastic body. We consider...
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Bifurcation Instability in Linear Elasticity with the Constraint of Local Injectivity
There are problems in linear elasticity theory whose corresponding deformations, usually associated with singular stress fields, are open to question...
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The Floating Ball Paradox
In capillary theory there are two kinds of surface tension. There is the surface tension at the interface between two immiscible fluids. Thomas Young...
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Electrodynamics and Thermomechanics of Material Bodies
We consider a material body emersed in space and, relative to an aether frame, the balance laws which govern its interaction with an electromagnetic,...
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On Bifurcations of Equilibria of Intrinsically Curved, Electrically Charged, Rod-like Structures that Model DNA Molecules in Solution
DNA molecules in the familiar Watson–Crick double helical B form can be treated as though they have rod-like structures obtained by stacking dominoes...
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A Geometrically Exact Micromorphic Model for Elastic Metallic Foams Accounting for Affine Microstructure. Modelling, Existence of Minimizers, Identification of Moduli and Computational Results
We investigate a geometrically exact generalized continua of micromorphic type in the sense of Eringen for the phenomenological description of...
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Local and Global Injective Solution of the Rotationally Symmetric Sphere Problem
There are problems in the classical linear theory of elasticity whose closed form solutions, while satisfying the governing equations of equilibrium...
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Folding of Thin Walled Tubes as a Free Gradient Discontinuity Problem
The aim of this paper is to describe buckling deformations of hollow cylinders whose buckled configurations consist of inextensional deformations of...
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Hierarchy of One-Dimensional Models in Nonlinear Elasticity
By using formal asymptotic expansions, we build one-dimensional models for slender hyperelastic cylinders submitted to conservative loads. According...
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The influence of the type of loading on the asymptotic behavior of slender elastic rings
We study the influence of the type of loading on the asymptotic behavior of linearly elastic, isotropic and homogeneous slender circular rings. By...