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Journal of Elasticity OnlineFirst articles

26.05.2017 | Research Note

On the Number of Invariants in the Strain Energy Density of an Anisotropic Nonlinear Elastic Material with Two Material Symmetry Directions

We determine the minimum number of independent invariants that are needed to characterize completely the strain energy density of a compressible hyperelastic solid having two distinct material symmetry directions. We use a theory of representation …


Nonlinear Elastic Inclusions in Anisotropic Solids

In this paper we study the stress and deformation fields generated by nonlinear inclusions with finite eigenstrains in anisotropic solids. In particular, we consider finite eigenstrains in transversely isotropic spherical balls and orthotropic …


Models of Elastic Shells in Contact with a Rigid Foundation: An Asymptotic Approach

We consider a family of linearly elastic shells with thickness 2 ε $2\varepsilon$ (where ε $\varepsilon$ is a small parameter). The shells are clamped along a portion of their lateral face, all having the same middle surface S $S$ , and may enter …


Wave Propagation in Flexoelectric Microstructured Solids

Wave propagation in elastic dielectrics with flexoelectricity, micro-inertia and strain gradient elasticity is investigated in this paper. Dispersion phenomenon, which does not exist in classical elastic dielectric theory, is observed in the …

10.04.2017 Open Access

Representation of a Smooth Isometric Deformation of a Planar Material Region into a Curved Surface

We consider the problem of characterizing the smooth, isometric deformations of a planar material region identified with an open, connected subset D ${\mathcal{D}}$ of two-dimensional Euclidean point space E 2 $\mathbb{E}^{2}$ into a surface S …

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The main purpose of the Journal of Elasticity is to report original and significant discoveries in elasticity, in the form of full research papers, research notes and well-documented historical essays. Materials which will prove effective in teaching appear as classroom notes. The journal provides a forum for original contributions in the physical and mathematical science of solids and in the broader areas of mechanics, mechanics of materials, and engineering sciences that have a bearing on developments in elasticity. The Journal of Elasticity was founded in 1971 by Marvin Stippes.

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