The Wave Finite Element Method

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)