LEADER 04836nam 22008055 450 001 9910300153803321 005 20200706150733.0 010 $a3-319-03551-7 024 7 $a10.1007/978-3-319-03551-2 035 $a(CKB)3710000000094976 035 $a(Springer)9783319035512 035 $a(MH)013990586-3 035 $a(SSID)ssj0001187533 035 $a(PQKBManifestationID)11700215 035 $a(PQKBTitleCode)TC0001187533 035 $a(PQKBWorkID)11270988 035 $a(PQKB)11071582 035 $a(DE-He213)978-3-319-03551-2 035 $a(MiAaPQ)EBC6315810 035 $a(MiAaPQ)EBC1697890 035 $a(Au-PeEL)EBL1697890 035 $a(CaPaEBR)ebr10976156 035 $a(OCoLC)881093734 035 $a(PPN)177825294 035 $a(EXLCZ)993710000000094976 100 $a20140310d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSoft Solids $eA Primer to the Theoretical Mechanics of Materials /$fby Alan D. Freed 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (XXXVI, 364 p. 57 illus., 3 illus. in color.)$conline resource 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-03550-9 320 $aIncludes bibliographical references (pages 343-356) and index. 327 $aPart I: Continuum Fields.- 1 Kinematics.- 2 Deformation.- 3 Strain.-4 Stress.- Part II: Constitutive Equations.- 5 Explicit Elasticity.-6 Implicit Elasticity.- 7 Viscoelasticity.- Appendices.- A Linear Algebra.- B Covariant and Contravariant Issues: Configuration Physics.- C Kronecker Products.- D General Linear ODE Solver -- E Solver for Convolution Integrals -- F Solver for the Mittag-Leer Function -- Bibliography -- Index. 330 $aThis textbook presents the physical principles pertinent to the mathematical modeling of soft materials used in engineering practice, including both man-made materials and biological tissues. It is intended for seniors and masters-level graduate students in engineering, physics, or applied mathematics. It will also be a valuable resource for researchers working in mechanics, biomechanics, and other fields where the mechanical response of soft solids is relevant.   Soft Solids: A Primer to the Theoretical Mechanics of Materials is divided into two parts. Part I introduces the basic concepts needed to give both Eulerian and Lagrangian descriptions of the mechanical response of soft solids. Part II presents two distinct theories of elasticity and their associated theories of viscoelasticity. Seven boundary-value problems are studied over the course of the book, each pertaining to an experiment used to characterize materials. These problems are discussed at the end of each chapter, giving students the opportunity to apply what they learned in the current chapter and to build upon the material in prior chapters. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 606 $aFunctional analysis 606 $aAmorphous substances 606 $aComplex fluids 606 $aMathematical physics 606 $aBiomaterials 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aSoft and Granular Matter, Complex Fluids and Microfluidics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25021 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aBiomaterials$3https://scigraph.springernature.com/ontologies/product-market-codes/Z13000 615 0$aFunctional analysis. 615 0$aAmorphous substances. 615 0$aComplex fluids. 615 0$aMathematical physics. 615 0$aBiomaterials. 615 14$aFunctional Analysis. 615 24$aSoft and Granular Matter, Complex Fluids and Microfluidics. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aBiomaterials. 676 $a531 700 $aFreed$b Alan D$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721645 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300153803321 996 $aSoft solids$91410223 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress