Homogenization of Reticulated Structures: v. 136 (Applied Mathematical Sciences) Book

This book provides a comprehensive and unified treatment of the homogenization of porous and lattice type structures. Its aim is to derive continuous simple models for thin reticulated structures (which may have a very complex pattern). For this reason, the authors treat partial differential equations depending on several small parameters, and give the asymptotic behavior with respect to these parameters. Particular attention is paid to convergence results and error-estimates. Topics covered include homogenization methods in perforated domains, thin reticulated structures, and networks in thermal and elasticity problems. Throughout the book attention is paid to mathematical rigor however many examples and figures are included, in addition to some numerical and experimental results, to make the book acessible to the non-specialist in homogenization. In particular this book will be very useful to researchers and graduate students in the fields of mathematics, materials science, and engineering.Read More