A direct formulation and numerical solution of the general transient elastodynamic problem. II
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1968-04-01 and is currently open access. It has received 461 citations till now. The article focuses on the topics: Transient (oscillation).read more
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Wave propagation in the elastic half-space due to an interior load and its application to ground vibration problems and buildings on pile foundations
TL;DR: In this paper, the wave propagation along the surface, the distribution of the response over the depth, the horizontal propagation at different depths and the vertical downward propagation are compared with the simpler surface solution of the half-space and the interior solution of full-space.
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Dynamic Response of a Composite Propeller Blade Subjected to Shock and Bubble Pressure Loading
TL;DR: In this article, a numerical approach is applied to the simulation of the interaction between an underwater explosion and a multi-layered propeller blade made of a set of composite materials to understand which combinations of materials and fiber orientations give the strongest resistance in terms of bending and twisting of the blade.
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On fundamental solutions for the boundary integral equations method in static and dynamic elasticity
José Domínguez,Ramón Abascal +1 more
TL;DR: In this article, a unified formulation for obtaining fundamental solutions in elastostatics and steady state elasto-dynamics is presented for plane, three-dimensional and axisymmetric problems.
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On evaluation of the green functions for harmonic line loads in a viscoelastic half space
TL;DR: In this article, a comparison of different quadratures for evaluation of the improper wavenumber integrals which arise in evaluation of Green functions for a viscoelastic half space and harmonic line loadings is investigated.
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Application of the boundary integral equation (BIE) method to transient response analysis of inclusions in a half space
TL;DR: In this article, the boundary integral equation (BIE) was used to solve the transient scattering of elastic waves by inclusions in a half space, and the Fourier transform was used for the reconstitution of transient solutions by Fourier inversion.
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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Singular Integral Equations. By N.I. Muskhelishvili. Translated fromthe 2nd Russian edition by J.R.M. Radok. Pp. 447. F1. 28.50. 1953. (Noordhoff, Groningen)
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An integral equation approach to boundary value problems of classical elastostatics
TL;DR: In this paper, a vector boundary formula relating the boundary values of displacement and traction for the general equilibrated stress state is derived, which is used to generate integral equations for the solution of the traction, displacement, and mixed boundary value problems of plane elasticity.