LEADER 05282nam 22008175 450 001 9910299770203321 005 20200703070144.0 010 $a3-319-18573-X 024 7 $a10.1007/978-3-319-18573-6 035 $a(CKB)3710000000463482 035 $a(EBL)3568326 035 $a(SSID)ssj0001546702 035 $a(PQKBManifestationID)16141323 035 $a(PQKBTitleCode)TC0001546702 035 $a(PQKBWorkID)14796225 035 $a(PQKB)11380791 035 $a(DE-He213)978-3-319-18573-6 035 $a(MiAaPQ)EBC3568326 035 $a(PPN)188458964 035 $a(EXLCZ)993710000000463482 100 $a20150811d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDifferential Geometry and Continuum Mechanics$b[electronic resource] /$fedited by Gui-Qiang G. Chen, Michael Grinfeld, R. J. Knops 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (384 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v137 300 $aDescription based upon print version of record. 311 $a3-319-18572-1 320 $aIncludes bibliographical references and index. 327 $aCompensated compactness with more geometry -- GLOBAL ISOMETRIC EMBEDDING OF SURFACES IN R3 -- Singular perturbation problems involving curvature -- Lectures on the Isometric Embedding Problem(Mn, g) ? IRm, m = n2 (n + 1) -- Continuum mechanics of the interaction of phase boundaries and dislocations in solids -- Manifolds in a theory of microstructures -- On the Geometry and Kinematics of Smoothly Distributed and Singular Defects -- Non-Metricity and the Nonlinear Mechanics of Distributed Point Defects -- Are microcontinuum field theories of elasticity amenable to experiments? ? A review of some recent results -- ON THE VARIATIONAL LIMITS OF LATTICE ENERGIES ON PRESTRAINED ELASTIC BODIES -- Static Elasticity in a Riemannian Manifold -- Calculating the bending moduli of the Canham-Helfrich free-energy density -- Elasticity of Twist-Bend Nematic Phases. 330 $aThis book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric embeddings in differential geometry and the relation with microstructure in nonlinear elasticity, the use of manifolds in the description of microstructure in continuum mechanics, experimental measurement of microstructure, defects, dislocations, surface energies, and nematic liquid crystals. Compensated compactness in partial differential equations is also treated. The volume is intended for specialists and non-specialists in pure and applied geometry, continuum mechanics, theoretical physics, materials and engineering sciences, and partial differential equations. It will also be of interest to postdoctoral scientists and advanced postgraduate research students. These proceedings include revised written versions of the majority of papers presented by leading experts at the ICMS Edinburgh Workshop on Differential Geometry and Continuum Mechanics held in June 2013. All papers have been peer reviewed. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v137 606 $aPartial differential equations 606 $aMathematical physics 606 $aDifferential geometry 606 $aPhysics 606 $aMechanics 606 $aMechanics, Applied 606 $aMaterials science 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aMaterials Science, general$3https://scigraph.springernature.com/ontologies/product-market-codes/Z00000 615 0$aPartial differential equations. 615 0$aMathematical physics. 615 0$aDifferential geometry. 615 0$aPhysics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMaterials science. 615 14$aPartial Differential Equations. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aDifferential Geometry. 615 24$aMathematical Methods in Physics. 615 24$aSolid Mechanics. 615 24$aMaterials Science, general. 676 $a510 702 $aChen$b Gui-Qiang G$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGrinfeld$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKnops$b R. J$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910299770203321 996 $aDifferential geometry and continuum mechanics$91522666 997 $aUNINA