000 03373nam a22005535i 4500
001 978-3-319-32580-4
003 DE-He213
005 20220801214636.0
007 cr nn 008mamaa
008 160430s2016 sz | s |||| 0|eng d
020 _a9783319325804
_9978-3-319-32580-4
024 7 _a10.1007/978-3-319-32580-4
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aMüller, Wolfgang H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939567
245 1 4 _aThe State of Deformation in Earthlike Self-Gravitating Objects
_h[electronic resource] /
_cby Wolfgang H. Müller, Wolf Weiss.
250 _a1st ed. 2016.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXII, 111 p. 36 illus., 33 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Continuum Mechanics,
_x2625-1337
505 0 _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.
520 _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.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aPlanetary science.
_939568
650 0 _aMechanics.
_98758
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aPlanetary Science.
_939569
650 2 4 _aClassical Mechanics.
_931661
700 1 _aWeiss, Wolf.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_939570
710 2 _aSpringerLink (Online service)
_939571
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319325781
776 0 8 _iPrinted edition:
_z9783319325798
830 0 _aSpringerBriefs in Continuum Mechanics,
_x2625-1337
_939572
856 4 0 _uhttps://doi.org/10.1007/978-3-319-32580-4
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c76580
_d76580