Titre : |
Finit-element modelling of unbounded media |
Type de document : |
texte imprimé |
Auteurs : |
John P. Wolf, Auteur ; Song , Chongmin |
Editeur : |
New York : John Wiley & Sons |
Année de publication : |
1996 |
Importance : |
X-331 p. |
Présentation : |
ill. |
Format : |
25 cm |
ISBN/ISSN/EAN : |
978-0-471-96134-5 |
Note générale : |
Bibliogra.p.319-324.-Index |
Langues : |
Anglais (eng) |
Mots-clés : |
Structures |
Index. décimale : |
624.041.2 Structures statiquement indéterminées en général |
Résumé : |
This book presents three novel concepts, basedon the finite-element methodology, to model the unboundedmedium: The consistent infinitesimal finite-element cell method, aboundary finite-element procedure, requires the discretization ofthe structure-medium interface only and is exact in thefinite-element sense. It is applied to unbounded media governed bythe hyperbolic, parabolic and elliptic differentialequations. The damping-solvent extraction method permits the analysis of abounded medium only. The doubly-asymptotic multi-directional transmitting boundary isexact for the low- and high-frequency limits at preselected wavepropagation directions. All concepts are explained using simple examples that the readercan follow step by step. A computer program of the consistentinfinitesimal finite-element cell method available on disk analysestwo- and three-dimensional unbounded and bounded media for thescalar and vector wave equations and the diffusion equation in thefrequency and time domains. |
Note de contenu : |
Contents:
1-Introduction
2-Displacement,velocity and acceleration unitimpulse response with dynamic stiffness and rational approximation
3-Dynamic stiffness and unit-Impulse response at similar structure-Medium interfaces of unbounded medium
4-Forecasting method
5-Consistent infinitesimal finite-Element cell method for wave propagation
6-Consistent infinitesimal finite-Element cell method for incompressible elasticity
7-Consistent infinitesimal finite-Element cell method in frequency domain
8-Consistent infinitesimal finite-Element cell method for statics
9-Consistent infinitesimal finite-element cell method for diffusion
10-Consistent infinitesimal finite-Element cell method applied to bounded medium
11-Fundamentals of damping-Solvent extraction method
12-Implementation,verification and accuracy of damping-Solvent extration method
13-Concept and numerical implementation of doubly-Asymptotic multi-Directional transmitting boundary
14-Accuracy and modelling procedure of doubly-Asymptotic multi-Directional transmitting boundary |
Finit-element modelling of unbounded media [texte imprimé] / John P. Wolf, Auteur ; Song , Chongmin . - New York : John Wiley & Sons, 1996 . - X-331 p. : ill. ; 25 cm. ISBN : 978-0-471-96134-5 Bibliogra.p.319-324.-Index Langues : Anglais ( eng)
Mots-clés : |
Structures |
Index. décimale : |
624.041.2 Structures statiquement indéterminées en général |
Résumé : |
This book presents three novel concepts, basedon the finite-element methodology, to model the unboundedmedium: The consistent infinitesimal finite-element cell method, aboundary finite-element procedure, requires the discretization ofthe structure-medium interface only and is exact in thefinite-element sense. It is applied to unbounded media governed bythe hyperbolic, parabolic and elliptic differentialequations. The damping-solvent extraction method permits the analysis of abounded medium only. The doubly-asymptotic multi-directional transmitting boundary isexact for the low- and high-frequency limits at preselected wavepropagation directions. All concepts are explained using simple examples that the readercan follow step by step. A computer program of the consistentinfinitesimal finite-element cell method available on disk analysestwo- and three-dimensional unbounded and bounded media for thescalar and vector wave equations and the diffusion equation in thefrequency and time domains. |
Note de contenu : |
Contents:
1-Introduction
2-Displacement,velocity and acceleration unitimpulse response with dynamic stiffness and rational approximation
3-Dynamic stiffness and unit-Impulse response at similar structure-Medium interfaces of unbounded medium
4-Forecasting method
5-Consistent infinitesimal finite-Element cell method for wave propagation
6-Consistent infinitesimal finite-Element cell method for incompressible elasticity
7-Consistent infinitesimal finite-Element cell method in frequency domain
8-Consistent infinitesimal finite-Element cell method for statics
9-Consistent infinitesimal finite-element cell method for diffusion
10-Consistent infinitesimal finite-Element cell method applied to bounded medium
11-Fundamentals of damping-Solvent extraction method
12-Implementation,verification and accuracy of damping-Solvent extration method
13-Concept and numerical implementation of doubly-Asymptotic multi-Directional transmitting boundary
14-Accuracy and modelling procedure of doubly-Asymptotic multi-Directional transmitting boundary |
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