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010   $a3-319-32580-9
024 7 $a10.1007/978-3-319-32580-4
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100   $a20160430d2016      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe state of deformation in earthlike self-gravitating objects /$fby Wolfgang H. Müller, Wolf Weiss
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (117 p.)
225 1 $aSpringerBriefs in Continuum Mechanics,$x2625-1329
300   $aDescription based upon print version of record.
311   $a3-319-32578-7 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aThe problem, its historical development and the shortcomings -- Analytical and numerical studies of the linear problem (small deformation theory) -- Numerical studies of the non-linear problem: shooting methods, finite differences, finite elements -- A radially symmetric composite shell model of the Earth.
330   $aThis book presents an in-depth continuum mechanics analysis of the deformation due to self-gravitation in terrestrial objects, such as the inner planets, rocky moons and asteroids. Following a brief history of the problem, modern continuum mechanics tools are presented in order to derive the underlying field equations, both for solid and fluid material models. Various numerical solution techniques are discussed, such as Runge-Kutta integration, series expansion, finite differences, and (adaptive) FE analysis. Analytical solutions for selected special cases, which are worked out in detail, are also included. All of these methods are then applied to the problem, quantitative results are compared, and the pros and cons of the analytical solutions and of all the numerical methods are discussed. The book culminates in a multi-layer model for planet Earth according to the PREM Model (Preliminary Earth Model) and in a viscoelastic analysis of the deformation problem, all from the viewpoint of rational continuum theory and numerical analysis.
410  0$aSpringerBriefs in Continuum Mechanics,$x2625-1329
606   $aMechanics
606   $aMechanics, Applied
606   $aPlanetology
606   $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010
606   $aPlanetology$3https://scigraph.springernature.com/ontologies/product-market-codes/G18010
606   $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aPlanetology.
615 14$aSolid Mechanics.
615 24$aPlanetology.
615 24$aClassical Mechanics.
676   $a531
700   $aMüller$b Wolfgang H$4aut$4http://id.loc.gov/vocabulary/relators/aut$0254548
702   $aWeiss$b Wolf$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254252803321
996   $aThe State of Deformation in Earthlike Self-Gravitating Objects$92531925
997   $aUNINA