The Wave Finite Element Method
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Beschreibung
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.
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.
A new more efficient and accurate Finite Element Method for structural analysis is presented in this scientific monograph Includes supplementary material: sn.pub/extras
Autor*in
Boris F. Shorr
Themen in »The Wave Finite Element Method«
Applied Mechanics Oscillation Technische Mechanik Vibration Wave mechanics modeling simulation
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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)
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