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
Citations
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A procedure to predict the precise seismic response of arch dams in time domain using boundary element formulation
TL;DR: In this article, a boundary element algorithm based on the time-convoluted traction kernels is employed to evaluate the spatially varying earthquake ground motions of the Pacoima dam in the USA subjected to SH, SV and P incident waves.
Methods for analysis of cracks in three-dimensional solids
I. S. Raju,J. C. Newman +1 more
TL;DR: In this article, the exact solutions for embedded elliptic cracks in infinite solids are discussed and the approximate methods reviewed are the finite element methods, the boundary integral equation (BIE) method, the mixed methods (superposition of analytical and finite element method, stress difference method, discretization-error method, alternating method, finite element-alternating method), and the line-spring model.
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Problems of dynamic fracture mechanics with allowance for contact of the crack edges
A. N. Guz,V. V. Zozulya +1 more
TL;DR: In this paper, the second part of a survey of dynamic problems of fracture mechanics is presented, where questions related to the solution of dynamic problem of the theory of elasticity for cracked bodies in which the crack edges can come into contact with one another during deformation.
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A boundary element method for some inverse problems in elastodynamics
Masataka Tanaka,Kouji Yamagiwa +1 more
TL;DR: In this paper, an integral equation approach to some inverse problems in elastodynamics is proposed, such that the shape of an internal flaw or defect in a structural component is not known a priori, although the eigenfrequencies up to a necessary order are given as additional information.
Dissertation
Solutions fondamentales en Géo-Poro-Mécanique multiphasique pour l'analyse des effets de site sismiques
TL;DR: In this article, the authors present a code for calculating sols non-satures based on the methode des elements de frontiere (BEM) for the problem of propagation.
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.
Journal ArticleDOI
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.