LEADER 05199nam 22007815 450 001 9910254206003321 005 20200630105249.0 010 $a3-319-26593-8 024 7 $a10.1007/978-3-319-26593-3 035 $a(CKB)3710000000515848 035 $a(EBL)4098339 035 $a(SSID)ssj0001584584 035 $a(PQKBManifestationID)16264452 035 $a(PQKBTitleCode)TC0001584584 035 $a(PQKBWorkID)14865302 035 $a(PQKB)11156315 035 $a(DE-He213)978-3-319-26593-3 035 $a(MiAaPQ)EBC4098339 035 $a(PPN)190530197 035 $a(EXLCZ)993710000000515848 100 $a20151119d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aContinuum Mechanics through the Ages - From the Renaissance to the Twentieth Century$b[electronic resource] $eFrom Hydraulics to Plasticity /$fby Gérard A. Maugin 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (312 p.) 225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v223 300 $aDescription based upon print version of record. 311 $a3-319-26591-1 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPreface -- 1 Particles/Molecules vs Continuum: the Never-Ending Debate -- 2 Hydraulics: The Importance of Observations and Experiments -- 3 On Porous Media and Mixtures -- 4 Viscosity, Fast Flows and the Science of Flight -- 5 Duhem on Hydrodynamics and Elasticity -- 6 Poincaré and Hilbert on Continuum Mechanics -- 7 Viscoelasticity of Solids (Old and New) -- 8 Plasticity over 150 Years (1864-2014) -- 9 Fracture: To Crack or not to Crack. That is the Question. 10 Geometry and Continuum Mechanics -- 11 The Masters of Modern Continuum Mechanics -- 12 Epilogue -- Index. 330 $aMixing scientific, historic and socio-economic vision, this unique book complements two previously published volumes on the history of continuum mechanics from this distinguished author. In this volume, Gérard A. Maugin looks at the period from the renaissance to the twentieth century and he includes an appraisal of the ever enduring competition between molecular and continuum modelling views. Chapters trace early works in hydraulics and fluid mechanics not covered in the other volumes and the author investigates experimental approaches, essentially before the introduction of a true concept of stress tensor. The treatment of such topics as the viscoelasticity of solids and plasticity, fracture theory, and the role of geometry as a cornerstone of the field, are all explored. Readers will find a kind of socio-historical appraisal of the seminal contributions by our direct masters in the second half of the twentieth century. The analysis of the teaching and research texts by Duhem, Poincaré and Hilbert on continuum mechanics is key: these provide the most valuable documentary basis on which a revival of continuum mechanics and its formalization were offered in the late twentieth century. Altogether, the three volumes offer a generous conspectus of the developments of continuum mechanics between the sixteenth century and the dawn of the twenty-first century. Mechanical engineers, applied mathematicians and physicists alike will all be interested in this work which appeals to all curious scientists for whom continuum mechanics as a vividly evolving science still has its own mysteries. 410 0$aSolid Mechanics and Its Applications,$x0925-0042 ;$v223 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical models 606 $aContinuum physics 606 $aMaterials science 606 $aHistory 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 606 $aMaterials Science, general$3https://scigraph.springernature.com/ontologies/product-market-codes/Z00000 606 $aHistory of Science$3https://scigraph.springernature.com/ontologies/product-market-codes/731000 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMathematical models. 615 0$aContinuum physics. 615 0$aMaterials science. 615 0$aHistory. 615 14$aSolid Mechanics. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aClassical and Continuum Physics. 615 24$aMaterials Science, general. 615 24$aHistory of Science. 676 $a531.0151 700 $aMaugin$b Gérard A$4aut$4http://id.loc.gov/vocabulary/relators/aut$031842 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254206003321 996 $aContinuum Mechanics through the Ages - From the Renaissance to the Twentieth Century$92515398 997 $aUNINA