Non-Fiction Books:

Multiscale Theory of Composites and Random Media



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Multiscale Theory of Composites and Random Media by Xi Frank Xu

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This is the first book to introduce Green-function-based multiscale theory and the corresponding finite element method, which are readily applicable to composites and random media. The methodology is considered to be the one that most effectively tackles the uncertainty of stress propagation in complex heterogeneities of random media, and which presents multiscale theory from distinctive scale separation and scale-coupling viewpoints. Deliberately taking a multiscale perspective, it covers scale separation and then scale coupling. Both micromechanics and novel scale-coupling mechanics are described in relation to variational principles and bounds, as well as in the emerging topics on percolation and scale-coupling computation. It gives detail on the different bounds encountered, covering classical second and third order, new fourth order, and innovative ellipsoidal variations. Green-function-based multiscale theory is addressed to applications in solid mechanics and transport of complex media ranging from micro- and nano-composites, polycrystals, soils, rocks, cementitious materials, to biological materials. It is useful as a graduate textbook in civil and mechanical engineering and as a reference.

Author Biography

Xi Frank Xu is a professor in civil engineering at Beijing Jiaotong University, and was formerly an assistant professor at Stevens Institute of Technology, USA. He received the 2010 K.J. Bathe Award for the Best Paper by a Young Researcher in the Field of Computational Engineering.
Release date NZ
October 9th, 2018
Country of Publication
39 Line drawings, black and white; 19 Halftones, black and white; 9 Tables, black and white; 58 Illustrations, black and white
Apple Academic Press Inc.
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