Journal ArticleDOI
Elastic waves in bodies with initial (residual) stresses
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In this article, an analysis of the results obtained in the three-dimensional linearized theory of elastic waves propagating in initially stressed solids was made. But the results were obtained in exact formulations.Abstract:
An analysis is made of the results obtained in the three-dimensional linearized theory of elastic waves propagating in initially stressed solids. Consideration is given to surface waves along planar and curvilinear boundaries and interfaces, waves in layers and cylinders, waves in composite materials, waves in hydroelastic systems, and dynamic problems for moving loads. The results were obtained in exact formulations.read more
Citations
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Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: Biot revisited
Ray W. Ogden,Baljeet Singh +1 more
TL;DR: In this article, the general constitutive equation for a transversely isotropic hyperelastic solid in the presence of initial stress is derived, based on the theory of invariants.
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Establishing fundamentals of the mechanics of nanocomposites
TL;DR: In this article, a basic approach to study the mechanical properties of nanocomposite materials with polymer matrix and the deformation of structural members made of them is proposed, which makes it possible to observe and describe the peculiarities of the processes of fracture, deformation, and wave propagation.
Journal ArticleDOI
Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder
TL;DR: In this article, the authors studied torsional wave dispersion in a three-layered hollow cylinder with finite initial strains and derived the analytical expression for the low-wavenumber limit values of the torsion wave propagation velocity.
Journal ArticleDOI
The influence of the third order elastic constants to the generalized Rayleigh wave dispersion in a pre-stressed stratified half-plane
TL;DR: In this paper, the influence of the third order elastic constants on the velocity of the generalized Rayleigh wave propagation in a pre-stressed stratified half-plane is investigated within the framework of the piecewise homogeneous body model with the use of the three-dimensional linearized theory of elasticity.
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Torsional wave dispersion relations in a pre-stressed bi-material compounded cylinder with an imperfect interface
TL;DR: In this article, the influence of the imperfectness of the contact condition on the torsional wave propagation in the initially stressed (stretched) bi-material compounded circular cylinder was investigated.
References
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Book
A treatise on the mathematical theory of elasticity
TL;DR: Webb's work on elasticity as mentioned in this paper is the outcome of a suggestion made to me some years ago by Mr R. R. Webb that I should assist him in the preparation of a work on Elasticity.
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