Finite-Element Modelling of Unbounded Media
Author | : John P. Wolf |
Publisher | : |
Total Pages | : 360 |
Release | : 1996-08-16 |
ISBN-10 | : UOM:39015037757336 |
ISBN-13 | : |
Rating | : 4/5 (36 Downloads) |
Download or read book Finite-Element Modelling of Unbounded Media written by John P. Wolf and published by . This book was released on 1996-08-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: The 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. The damping-solvent extraction method permits the analysis of a bounded medium only. The doubly-asymptotic multi-directional transmitting boundary is exact for the low- and high-frequency limits at preselected wave propagation directions. 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.