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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An advanced numerical method for computing elastodynamic fracture parameters in functionally graded materials
TL;DR: In this article, a meshless method for computing the dynamic stress intensity factors (SIFs) in continuously non-homogeneous solids under a transient dynamic load is presented, which is based on the local boundary integral equation (LBIE) formulation and the moving least squares (MLS) approximation.
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Dynamic structure-soil-structure interaction by FEM and BEM
TL;DR: In this article, a harmonic force is applied on both mass-lumped structures and mass-distributed structures and the effects of distance, direction of alignment between two foundations, bedrock, natural frequency of the system and the location of load on the dynamic responses of structure-soil-structure interaction systems are investigated.
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Formal equivalence of direct and indirect boundary element methods
TL;DR: In this article, the authors show how the direct boundary element method can be transformed into the equivalent indirect statement, thereby establishing the latter rigorously and apply it to a more general class of differential operators.
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Two-dimensional transient wave-propagation problems by time-domain BEM
TL;DR: In this paper, an advanced formulation of time-domain Boundary Element Method (BEM) for linear elastodynamics is used to study a number of problems involving wave propagation through half-space as well as multi-layered soils.
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Elastic waves in continuous and discontinuous geological media by boundary integral equation methods: A review
George D. Manolis,Petia Dineva +1 more
TL;DR: A review of boundary integral equation (BIE) based methods for the numerical modeling of elastic wave motion in naturally occurring media is presented in this article, where the main reason for using BIE is the presence of the free surface of the earth, whereby large categories of problems involve continua with a small surface to volume ratio.
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.