The Wave Finite Element Method
By: by B. F. Shorr
Series: Foundations of Engineering Mechanics; Foundations of engineering mechanics
Publisher: Springer Berlin Heidelberg
Published: 2004
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 352
ISBN-13: 9783642536052; 9783540445791
Subjects: Mechanics; Engineering; Applied Mechanics
Description: This monograph presents in detail the novel "wave" approach to finite element modeling of transient processes in solids. Strong discontinuities of stress, deformation, and velocity wave fronts as well as a finite magnitude of wave propagation speed over elements are considered. These phenomena, such as explosions, shocks, and seismic waves, involve problems with a time scale near the wave propagation time. Software packages for 1D and 2D problems yield significantly better results than classical FEA, so some FORTRAN programs with the necessary comments are given in the appendix. The book is written for researchers, lecturers, and advanced students interested in problems of numerical modeling of non-stationary dynamic processes in deformable bodies and continua, and also for engineers and researchers involved designing machines and structures, in which shock, vibro-impact, and other unsteady dynamics and waves processes play a significant role.
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Table of contents: title: Foundation of the wave finite element method; title: Simulation of simple one-dimensional wave processes; title: Wave propagation in an inelastic rod; title: Coupled longitudinal-tosional waves in a pretwisted rod; title: Bending waves in a beam; title: One-dimensional wave propagation in elastic continua; title: Multi-dimensional wave sumulation by WFEM; title: Impact loading of a deformed body; title: Unsteady forced vibration of deformed structures; title: Unsteady vibro-impact loading of deformed structures; title: Numerical simulation of a system affected by moving loads; title: Wave propagation in a structure interacting with "active" media; title: Classical unsteady problems of solid mechanics; title: Longitudinal dynamics of a train; title: Application of the method to adjacent engineering fields.