MARC Record from Harvard University

LEADER: 03033nam a22004695a 4500
001 013840083-0
005 20131206201450.0
008 121227s2000 xxu| s ||0| 0|eng d
020 $a9781461211884
020 $a9781461211884
020 $a9781461270386
024 7 $a10.1007/978-1-4612-1188-4$2doi
035 $a(Springer)9781461211884
040 $aSpringer
050 4 $aQC120-168.85
050 4 $aQA808.2
072 7 $aPHD$2bicssc
072 7 $aSCI041000$2bisacsh
082 04 $a531$223
100 1 $aCherkaev, Andrej,$eauthor.
245 10 $aVariational Methods for Structural Optimization /$cby Andrej Cherkaev.
264 1 $aNew York, NY :$bSpringer New York :$bImprint: Springer,$c2000.
300 $aXXVI, 545 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v140
505 0 $aI Preliminaries. Introduction. Non-Convex Variational Problems -- II Optimization of Conducting Composites -- Conducting Composites. Conducting Composites of Extremal Energy. Optimization of Arbitrary Goal Functional -- III Quasiconvex Envelope. Quasiconvex Envelope. Lower Bound: Translation Method. Minimizing Sequences. Algebra of Laminates. Upper Bounds and Extensions -- IV Optimal Design of Elastic Constructions. Elasticity of Inhomogeneous Media. Elastic Mixtures of Extermal Rigidity. Plane Problem. Optimal Design -- V Gm Closures -- Bounds On G-Closures.
520 $aIn recent decades, it has become possible to turn the design process into computer algorithms. By applying different computer oriented methods the topology and shape of structures can be optimized and thus designs systematically improved. These possibilities have stimulated an interest in the mathematical foundations of structural optimization. The challenge of this book is to bridge a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in a sufficiently simple form to make them available for practical use and to allow their critical appraisal for improving and adapting these results to specific models. Special attention is to pay to the description of optimal structures of composites; to deal with this problem, novel mathematical methods of nonconvex calculus of variation are developed. The exposition is accompanied by examples.
650 20 $aMechanics.
650 10 $aPhysics.
650 0 $aSystem theory.
650 0 $aPhysics.
650 0 $aMathematical optimization.
650 0 $aMechanics.
650 24 $aCalculus of Variations and Optimal Control; Optimization.
650 24 $aSystems Theory, Control.
776 08 $iPrinted edition:$z9781461270386
830 0 $aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$v140.
988 $a20131119
906 $0VEN