03697nam 22006495 450 991033761610332120210305151315.03-030-18383-110.1007/978-3-030-18383-7(CKB)4100000008409110(MiAaPQ)EBC5788930(DE-He213)978-3-030-18383-7(PPN)258303654(EXLCZ)99410000000840911020190611d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierComputational Homogenization of Heterogeneous Materials with Finite Elements[electronic resource] /by Julien Yvonnet1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (231 pages)Solid Mechanics and Its Applications,0925-0042 ;2583-030-18382-3 Includes bibliographical references.Foreword -- Preface -- Introduction -- Review of classical FEM formulations and discretizations -- Conduction properties -- Elasticity and thermoelasticity -- Piezoelectricity -- Porous media -- Second-order linear homogenization -- Filter-based homogenization -- Nonlinear Computational Homogenization -- Bibliography -- Appendices -- Index.This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.Computer mathematicsMechanicsMechanics, AppliedMaterials sciencePhysicsEngineering—MaterialsComputational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Materials Science, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/Z00000Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Materials Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T28000Computer mathematics.Mechanics.Mechanics, Applied.Materials science.Physics.Engineering—Materials.Computational Science and Engineering.Solid Mechanics.Materials Science, general.Numerical and Computational Physics, Simulation.Materials Engineering.515.35Yvonnet Julienauthttp://id.loc.gov/vocabulary/relators/aut946336BOOK9910337616103321Computational Homogenization of Heterogeneous Materials with Finite Elements2138011UNINA