The Wave Finite Element Method / Edition 1

by Boris F. Shorr

Overview

Computational mechanics, as a science employed for the numerical model­ ing of processes in nature and engineering, has over the last few decades developed two strands. The first concerns the putting of more and more powerful software packages into computational practice, using increasingly high-performance computers with increasingly large memory. The traditional finite element and finite difference approaches are still preva­ lent. Over the years however, researchers have met with new problems; their solutions on the basis of traditional methods are at best difficult and at worst impossible to obtain. Such problems provided a powerful impetus in the development of the second strand, resulting in the development of es­ sentially new approaches for numerical modeling, for example meshless methods, "molecular" dynamics, neuron networks. The current state of the art formed the basis of many papers presented at the Fifth World Congress on Computational Mechanics, Vienna 2002. It is within the framework of the second strand that this book has been written.

Product Details

ISBN-13:	9783540416388
Publisher:	Springer Berlin Heidelberg
Publication date:	01/22/2004
Series:	Foundations of Engineering Mechanics
Edition description:	2004
Pages:	355
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Theory.- 1 Foundation of the wave finite element method.- 2 Simulation of simple one-dimensional wave processes.- 3 Wave propagation in an inelastic rod.- 4 Coupled longitudinal-torsional waves in a pre-twisted rod.- 5 Bending waves in a beam.- 6 One-dimensional waves in elastic continua and structures.- 7 Numerical simulation of multi-dimensional wave processes.- Applications.- 8 Impact loading of a deformable body.- 9 Unsteady forced vibration of solids.- 10 Unsteady vibro-impact loading.- 11 Oscillations of a mechanical system affected by moving loads.- 12 Dynamic loading of a free edge of a solid.- 13 Some special problems of solid mechanics.- 14 Some special unsteady problems in engineering.- Conclusion.- References.

Editorial Reviews

From the reviews:

"This book is devoted to a new approach to the description of complex mechanical systems. … among the actual nonclassical methods, the wave finite element method (WFEM) is of high interest. The author … provides a first exposition of WFEM … . The book is written very clearly, the graphs are excellent, and the reader can grasp the main facts from WFEM. The references are up-to-date … . The book can serve as a reference text book for the students and researchers in mechanics." (Dumitru Stanomir, Zentralblatt MATH, Vol. 1063, 2005)

"I can say that the book contains a valuable collection of 1-D and some 2-D solutions for wave propagation in solids, and it made a valuable contribution towards a new general-purpose transient wave approach for solids. … the book is truly recommended for everybody involved in problems that include explosions, shocks, seismic waves, and structures with suddenly varying properties at a time-scale close to the time a wave takes to propagate over the structure." (Technische Mechanik, Vol. 26 (2), 2006)

From the Publisher