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001 978-3-030-18383-7
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008 190611s2019 sz | s |||| 0|eng d
020 _a9783030183837
_9978-3-030-18383-7
024 7 _a10.1007/978-3-030-18383-7
_2doi
050 4 _aQA71-90
072 7 _aPBKS
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aPBKS
_2thema
082 0 4 _a003.3
_223
100 1 _aYvonnet, Julien.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_932905
245 1 0 _aComputational Homogenization of Heterogeneous Materials with Finite Elements
_h[electronic resource] /
_cby Julien Yvonnet.
250 _a1st ed. 2019.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2019.
300 _aXVI, 221 p. 103 illus., 74 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v258
505 0 _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.
520 _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.
650 0 _aMathematics—Data processing.
_931594
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aMaterials science.
_95803
650 0 _aMathematical physics.
_911013
650 0 _aMaterials.
_97549
650 1 4 _aComputational Science and Engineering.
_932906
650 2 4 _aSolid Mechanics.
_931612
650 2 4 _aMaterials Science.
_95803
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_931560
650 2 4 _aMaterials Engineering.
_932311
710 2 _aSpringerLink (Online service)
_932907
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030183820
776 0 8 _iPrinted edition:
_z9783030183844
776 0 8 _iPrinted edition:
_z9783030183851
830 0 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v258
_932908
856 4 0 _uhttps://doi.org/10.1007/978-3-030-18383-7
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c75332
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