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.
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