Dynamic and Transient Infinite Elements: Theory and Geophysical, Geotechnical and Geoenvironmental Applications (Advances in Geophysical and Environmental Mechanics and Mathematics)

Effective and ef cient modelling of in nite media is important for the production of accurate and useful solutions for many scienti c and engineering problems invo- ing in nite domains (Bettess 1977, 1980; Chow and Smith 1981; Medina and Taylor 1983; Zhang and Zhao 1987; Zhao et al. 1989; Zhao and Valliappan 1993a, b, c, d; Astley 1996, 1998; Yang et al. 1996; Yang and Huang 2001; Yun et al. 2000, 2007; Wang et al. 2006). Some typical examples involving in nite domains are as follows: (1) earthquake wave propagation within the upper crust of the Earth in the elds of geophysics and seismology; (2) dynamic structure–foundation interaction in the elds of geotechnical, civil and dam engineering; and (3) transient pore- uid ow, heat transfer and mass transport within the interior of the Earth in the elds of g- science and geoenvironmental engineering. Although the solid Earth is viewed as a bounded domain at the terrestrial scale, it can be treated as an unbounded domain at the human scale. For instance, in the case of predicting possible property damages caused by an earthquake, only a limited region around the epicentre is of interest because the earthquake wave energy is signi cantly reduced as the distance from the epicentre is increased.

From the reviews:

“This monograph presents a state-of-the-art report on the theory and application of dynamic and transient infinite elements ... . The book is attractive to a broad readership for it introduces the theoretical foundations needed in the description of dynamic infinite and transient elements in a ... self-consistent manner. ... is illustrated by a large number of conceptual figures and plots showing results from numerical simulations. In the theory-chapters, sufficient detail is given to able to follow the derivation of the mathematical concepts ... .” (Nina Kirchner, Zentralblatt MATH, Vol. 1180, 2010)