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Article
Group invariance of a neo-Hookean system: incorporation of stretch change
Invariance of the nonlinear elasto-static system descriptive of the plane-strain deformation of a neo-Hookean material is determined under Lie group transformations which accommodate change in stretch. The ass...
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Article
Antiplane crack problems for an inhomogeneous elastic material
This paper examines some antiplane crack problems in an elastic material with variable shear modulus. An expression for the energy release rate is obtained for each of the cracks considered and a comparison ma...
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Article
Cylindrical impact waves in inhomogeneous viscoelastic media
A detailed study is presented of cylindrical shear waves in inhomogeneous Maxwellian viscoelastic materials whose parameters depend continuously on a single radial coordinate. A formal asymptotic technique is ...
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Article
Transient displacement and stress in non-homogeneous elastic shells
Transient displacement and stress in thick inhomogeneous cylindrical and spherical shells is investigated for situations when the surfaces are subjected to dynamic loads consistent with the production of radia...
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Article
Antiplane deformations of inhomogeneous elastic materials
The system of equations governing antiplane deformations of inhomogeneous elastic media is examined with a view to achieving its reduction to a canonical form associated with the Cauchy-Riemann system.