{"product_id":"finite-element-modelling-of-unbounded-media-isbn-9780471961345","title":"Finite-Element Modelling of Unbounded Media","description":"Dynamic unbounded medium-structure interactions occur in manyfields of engineering and physical science, such as wavepropagation in soil-structure and fluid-structure interactions,acoustics and electromagnetism and as diffusion in heat conductionand consolidation. This book presents three novel concepts, basedon the finite-element methodology, to model the unboundedmedium:\u003cbr\u003e * 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.\u003cbr\u003e * The damping-solvent extraction method permits the analysis of abounded medium only.\u003cbr\u003e * The doubly-asymptotic multi-directional transmitting boundary isexact for the low- and high-frequency limits at preselected wavepropagation directions.\u003cbr\u003e 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. Partial table of contents:\u003cbr\u003e \u003cbr\u003e SIMILARITY-BASED FORMULATION FOR UNIT-IMPULSE RESPONSE AND DYNAMICSTIFFNESS.\u003cbr\u003e \u003cbr\u003e Displacement, Velocity and Acceleration Unit-Impulse Response withDynamic Stiffness and Rational Approximation.\u003cbr\u003e \u003cbr\u003e Forecasting Method.\u003cbr\u003e \u003cbr\u003e Consistent Infinitesimal Finite-Element Cell Method Applied toBounded Medium.\u003cbr\u003e \u003cbr\u003e DAMPING-SOLVENT EXTRACTION FOR DYNAMIC STIFFNESS AND INTERACTIONFORCE.\u003cbr\u003e \u003cbr\u003e Fundamentals of Damping-Solvent Extraction Method.\u003cbr\u003e \u003cbr\u003e DOUBLY-ASYMPTOTIC MULTI-DIRECTIONAL TRANSMITTING BOUNDARY.\u003cbr\u003e \u003cbr\u003e Concept and Numerical Implementation of Doubly-AsymptoticMulti-Directional Transmitting Boundary.\u003cbr\u003e \u003cbr\u003e Accuracy and Modelling Procedure of Doubly-AsymptoticMulti-Directional Transmitting Boundary.\u003cbr\u003e \u003cbr\u003e Appendices.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index.  \u003cp\u003eJohn P. Wolf is the author of Finite-Element Modelling of Unbounded Media, published by Wiley. Chongmin Song is the author of Finite-Element Modelling of Unbounded Media, published by Wiley.   Dynamic unbounded medium-structure interactions occur in many fields of engineering and physical science, such as wave propagation in soil-structure and fluid-structure interactions, acoustics and electromagnetism and as diffusion in heat conduction and consolidation. This book presents three novel concepts, based on the finite-element methodology, to model the unbounded medium: \u003c\/p\u003e\u003col\u003e \u003cli\u003eThe consistent infinitesimal finite-element cell method, a boundary finite-element procedure, requires the discretization of the structure-medium interface only and is exact in the finite-element sense. It is applied to unbounded media governed by the hyperbolic, parabolic and elliptic differential equations.\u003c\/li\u003e \u003cli\u003eThe damping-solvent extraction method permits the analysis of a bounded medium only.\u003c\/li\u003e \u003cli\u003eThe doubly-asymptotic multi-directional transmitting boundary is exact for the low- and high-frequency limits at preselected wave propagation directions.\u003c\/li\u003e \u003c\/ol\u003e All concepts are explained using simple examples that the reader can follow step by step. A computer program of the consistent infinitesimal finite-element cell method available on disk analyses two- and three-dimensional unbounded and bounded media for the scalar and vector wave equations and the diffusion equation in the frequency and time domains.","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989214707941,"sku":"NP9780471961345","price":347.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471961345.jpg?v=1761783237","url":"https:\/\/k12savings.com\/es\/products\/finite-element-modelling-of-unbounded-media-isbn-9780471961345","provider":"K12savings","version":"1.0","type":"link"}