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024 7 $a10.1007/978-3-030-18383-7
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035   $a(PPN)258303654
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100   $a20190611d2019      u|             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aComputational Homogenization of Heterogeneous Materials with Finite Elements$b[electronic resource] /$fby Julien Yvonnet
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (231 pages)
225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v258
311   $a3-030-18382-3 
320   $aIncludes bibliographical references.
327   $aForeword -- 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.
330   $aThis 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.
606   $aComputer mathematics
606   $aMechanics
606   $aMechanics, Applied
606   $aMaterials science
606   $aPhysics
606   $aEngineering?Materials
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aMaterials Science, general$3https://scigraph.springernature.com/ontologies/product-market-codes/Z00000
606   $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021
606   $aMaterials Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T28000
615  0$aComputer mathematics.
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aMaterials science.
615  0$aPhysics.
615  0$aEngineering?Materials.
615 14$aComputational Science and Engineering.
615 24$aSolid Mechanics.
615 24$aMaterials Science, general.
615 24$aNumerical and Computational Physics, Simulation.
615 24$aMaterials Engineering.
676   $a515.35
700   $aYvonnet$b Julien$4aut$4http://id.loc.gov/vocabulary/relators/aut$0946336
906   $aBOOK
912   $a9910337616103321
996   $aComputational Homogenization of Heterogeneous Materials with Finite Elements$92138011
997   $aUNINA