LEADER 03392nam 22005775 450 001 9910366596703321 005 20210305152150.0 010 $a94-024-1771-0 024 7 $a10.1007/978-94-024-1771-5 035 $a(CKB)4100000009759000 035 $a(DE-He213)978-94-024-1771-5 035 $a(MiAaPQ)EBC6114027 035 $a(PPN)251121720 035 $a(EXLCZ)994100000009759000 100 $a20191102d2020 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aContinuum Mechanics and Linear Elasticity $eAn Applied Mathematics Introduction /$fby Ciprian D. Coman 205 $a1st ed. 2020. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2020. 215 $a1 online resource (XV, 519 p. 154 illus.) 225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v238 311 $a94-024-1769-9 327 $aElements of continuum mechanics -- Kinematics -- Balance laws -- Constitutive behaviour -- Linear elasticity -- General boundary-value problems -- Compatibility conditions and the Cesaro-Volterra path integral -- The semi-inverse method and simple applications -- Two-dimensional approximations -- Saint-Venant?s torsion theory for slender beams. 330 $aThis is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation). . 606 $aMechanics 606 $aMechanics, Applied 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aTheoretical and Applied Mechanics. 615 24$aApplications of Mathematics. 615 24$aClassical Mechanics. 676 $a531 700 $aComan$b Ciprian D$4aut$4http://id.loc.gov/vocabulary/relators/aut$0973111 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910366596703321 996 $aContinuum Mechanics and Linear Elasticity$92213998 997 $aUNINA