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Open AccessJournal ArticleDOI

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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A boundary element method for viscoelastic dynamic earthquake analysis of structures

Y Liu, +1 more
TL;DR: In this article, a viscoelastic boundary element method for dynamic analysis of basic structures is presented, where the boundary displacements and tractions are determined in the Laplace domain using the Durbin's improved inverse Laplace transformation technique.
Book ChapterDOI

Transient Viscoelastodynamic Boundary Element Formulations

TL;DR: The boundary element method (BEM) as discussed by the authors provides a powerful tool for the calculation of dynamic structural response in frequency and time domain, where field equations of motion and boundary conditions are cast into boundary integral equations (BIE), which are discretized only on the boundary.

dfronteira móvel usando e fronteira móvel usando e fronteira móvel usando e fronteira móvel usando a técnica dos elementos d e contorno

TL;DR: In this article, the boundary elements method was employed for the solution to the one-dimensional solidification problem in Cartesian coordinates, and the results obtained with the numeric simulations were compared with a problem that presents analytic solution.
Journal ArticleDOI

Boundary Element Modeling of Dynamic Bending of a Circular Piezoelectric Plate

TL;DR: In this article, a Laplace domain direct boundary element formulation is applied for dynamic analysis of three-dimensional linear piezoelectric moderately thick circular plates, where zero initial conditions, vanishing body forces and the absence of the free electrical charges are assumed.
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

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.