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E-raamat: Multiscale Modeling In Solid Mechanics: Computational Approaches

Edited by (Imperial College London, Uk), Edited by (Imperial College London, Uk)
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This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. For the first time, contributions from both leading experts in the field and younger promising researchers are combined to give a comprehensive description of the recently proposed techniques and the engineering problems tackled using these techniques.The book begins with a detailed introduction to the theories on which different multiscale approaches are based, with regards to linear homogenization as well as various nonlinear approaches. It then presents advanced applications of multiscale approaches applied to nonlinear mechanical problems. Finally, the novel topic of materials with self-similar structure is discussed.
Preface v
Contributors ix
Computational Homogenisation for Non-Linear Heterogeneous Solids 1
V.G. Kouznetsova, M.G.D. Geers and W.A.M. Brekelmans
Two-Scale Asymptotic Homogenisation-Based Finite Element Analysis of Composite Materials 43
Qi-Zhi Xiao and Bhushan Lal Karihaloo
Multi-Scale Boundary Element Modelling of Material Degradation and Fracture 101
G.K. Sfantos and M.H. Aliabadi
Non-Uniform Transformation Field Analysis: A Reduced Model for Multiscale Non-Linear Problems in Solid Mechanics 159
Jean-Claude Michel and Pierre Suquet
Multiscale Approach for the Thermomechanical Analysis of Hierarchical Structures 207
Marek J. Lefik, Daniela P. Boso and Bernhard A. Schrefler
Recent Advances in Masonry Modelling: Micromodelling and Homogenisation 251
Paulo B. Lourengo
Mechanics of Materials With Self-Similar Hierarchical Microstructure 295
R.C. Pica and M.A. Soave
Index 333