Multiscale Theory of Composites and Random Media

ISBN-13: 9780367657024 / Angielski / Miękka / 2020 / 286 str.

XI Frank Xu

Opis

The first book to introduce Green-function-based multiscale theory and the corresponding FEM, which are then applicable to composites and random media. With a multiscale perspective, it covers scale separation and scale coupling. Both micromechanics and novel scale-coupling mechanics are described in relation to variational principles and bounds

Spis treści

Prelims. Introduction: Emerging Scale-Coupling Mechanics. Random Morphology and Correlation Functions. Part I. Analytical Homogenization of Scale Separation Problems. Green-Function-Based Variational Principles. Nth-Order Variational Bounds. Ellipsoidal Bound. Prediction of Percolation Threshold. PART II – Computational Analysis of Scale Coupling Problems. Green-Function-Based Variational Principles for Scale-Coupling Problems. Multiscale Stochastic Finite Element Method and Multiphase Composites. Multiscale Stochastic Finite Element Method and Continuous Random Media. References. Index.

O autorze

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.