The Wave Finite Element Method

Boris F. Shorr (Autor)

Buch | Hardcover

XI, 355 Seiten

2003 | 2004
Springer Berlin (Verlag)
978-3-540-41638-8 (ISBN)

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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 increas ingly 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.

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.

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)

Erscheint lt. Verlag	17.11.2003
Reihe/Serie	Foundations of Engineering Mechanics
Zusatzinfo	XI, 355 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	680 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Maschinenbau
Schlagworte	Applied Mechanics • Finite-Elemente-Methode • Finite-Elemente-Methode (FEM) • Mechanics • Modeling • Oscillation • Simulation • Technische Mechanik • Vibration • Wave • Welle (Physik)
ISBN-10	3-540-41638-2 / 3540416382
ISBN-13	978-3-540-41638-8 / 9783540416388
Zustand	Neuware