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A direct formulation and numerical solution of the general transient elastodynamic problem. II

T.A Cruse
- 01 Apr 1968 - 
- Vol. 22, Iss: 1, pp 341-355
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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).

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Citations
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Dynamic response of lined tunnels by an isoparametric boundary element method

TL;DR: In this paper, the authors investigated the dynamic stress concentration in the lining of a circular cylindrical tunnel excavated in a linear elastic or viscoelastic medium of infinite extent under conditions of plane strain.
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Three-dimensional modelling of train-track and sub-soil analysis for surface vibrations due to moving loads

TL;DR: Two mathematical models and numerical techniques for solving problems associated with the wave propagation in a track and an underlying soil due to passing trains are presented and compared and point out that using an open trench barrier with appropriate geometrical properties, a notable reduction level can be achieved.
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Three-dimensional scattering of seismic waves from topographical structures

TL;DR: In this paper, a direct boundary element method for calculating the three-dimensional scattering of seismic waves from irregular topographies and buried valleys due to incident P-, S- and Rayleigh waves is presented.
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Investigation of ground vibrations induced by moving loads

TL;DR: In this article, two mathematical models and numerical techniques for solving problems associated with wave propagation in the track and subsoil due to the passage of a train are discussed and compared.
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Integral equation methods for analysis of piece-wise non-homogeneous three-dimensional elastic solids of arbitrary shape

TL;DR: A numerical method based on the theory of multidimensional singular integral equations which can be used in principle to obtain solutions of any static boundary value problem for a three-dimensional elastic solid is described in this article.
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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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.