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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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Non-conforming Coupling of Finite and Boundary Element Methods in Time Domain

TL;DR: The concept of combining these two approximation methods is carried forward to dynamic problems by developing a coupling framework in which the local discretization method can be chosen independently, and a Lagrange multiplier domain decomposition approach is preferred.
Journal ArticleDOI

An improved boundary element formulation for wave propagation problems

TL;DR: In this paper, the dual reciprocity formulation for scalar wave equations and elastodynamic problems developed by Nardini & Brebbia is extended to the problem of waves propagating in an infinite domain by applying the Sommerfeld's radiation condition on a suitable artificial boundary.
Book ChapterDOI

Modeling of viscoelastic elastomer mounts in multibody systems

L. Gaul, +1 more
TL;DR: In this paper, the authors describe distributed inertia, restoring and material damping forces of elastomer members undergoing significant static preloads and superimposed dynamic loads by a continuum approach.
DissertationDOI

A boundary element method for modelling piezoelectric transducer based structural health monitoring

Fangxin Zou
TL;DR: The Declaration of Originality as mentioned in this paper was the first declaration of originality in the English language, and was published in 1819, 1821.... 2 Acknowledgements and acknowledgements.
Journal ArticleDOI

General time-dependent Green's functions of line forces in a two-dimensional, anisotropic, elastic, and infinite solid

TL;DR: In this article, the authors derived analytical time-dependent Green's functions in a two-dimensional, anisotropic elastic, and infinite solid, based on the Stroh formalism combined with application of the Cauchy's residue theorem.
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.