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A note on finite elastic deformations of fiber-reinforced non-linearly elastic tubes

100%

El Hamdaoui M. , Merodio J.

Archives of Mechanics

2015

tom Vol. 67, nr 1

95--109

A fibre-reinforced non-linearly elastic tube subject to a finite radially symmetric deformation given by the combination of axial stretch, radial deformation and torsion is analysed. The deformation is supported by axial load, internal pressure and end moment. The materials at hand are neo-Hookean models augmented with a function that accounts for the existence of a unidirectional reinforcement. This function endows the material with its anisotropic character and is referred to as a reinforcing model. The nature of the considered anisotropy has a particular influence on the shear response of the material, in contrast to previous analyses in which the reinforcing model was taken to depend only on the stretch in the fibre direction. Furthermore, the ellipticity analysis of the deformations at hand has been carried out. It is shown that most of the deformations are non-elliptic, which opens the possibility to discontinuous solutions.

Large Deformation Constitutive Theory for a Two-Phase Shape Memory Alloy

63%

Panoskaltsis V. , Polymenakos L. C. , Soldatos D.

Engineering Transactions

2014

tom Vol. 62, iss. 4

355–-380

In this work we examine significant theoretical issues related to the constitutive modelling of a two-phase shape memory alloy which undergoes large deformations. For this purpose, we propose a new generalized plasticity based model. The model is based on a standard fractions approach and considers a local multiplicative decomposition of the deformation gradient into elastic and inelastic (transformation induced) parts, as its basic kinematic assumption. We also assess the ability of the model in simulating several patterns of the complex behavior of the material in question, by three representative numerical examples. These examples comprise a standard uniaxial tension problem, a torsion problem and an additional problem dealing with non-conventional pseudoelastic response.