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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Dissertation
3D non-linear and multi-region boundary element stress analysis
TL;DR: In this article, two simple auxiliary equations which are required to supplement the fundamental boundary integral equations in solving traction-discontinuity problems using multiple-node technique are derived from the symmetric property and the equilibrium equations of the stress tensor.
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A mass-matrix formulation for three-dimensional dynamic fracture mechanics
TL;DR: In this paper, the dual reciprocity boundary element method is used to calculate the unknowns of boundary displacement and traction and the domain integrals in the elastodynamic equation are transformed into boundary integrals by the use of the Dual reciprocity method.
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A direct integral equation method for computing the hoop stress at holes in plane isotropic sheets
TL;DR: In this article, a method is developed for the determination of the stresses in an elastic sheet with one or more unloaded holes, which is particularly well suited for finding the hoop stresses since it is based on a system of integral equations in which the hoop stress itself is one of the unknowns.
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Acoustic resonant frequencies in an eccentric spherical cavity
TL;DR: In this paper, the interior boundary value scalar (acoustic) problem in the region between two spheres of radii R1, R2 and distance d between their centers is considered for both Dirichlet and Neumann boundary conditions.
Dissertation
Fast Multipole Method for 3-D elastodynamic boundary integral equations. Application to seismic wave propagation
TL;DR: In this paper, the Fast Multipole Method (FMM) is extended to 3D frequency-domain elastodynamics in homogeneous and piecewise-homogeneous media (using in the latter case a FMM-based BE-BE coupling).
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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.