000 03134nam a22005295i 4500
001 978-3-319-32580-4
003 DE-He213
005 20200421111203.0
007 cr nn 008mamaa
008 160430s2016 gw | s |||| 0|eng d
020 _a9783319325804
_9978-3-319-32580-4
024 7 _a10.1007/978-3-319-32580-4
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aM�uller, Wolfgang H.
_eauthor.
245 1 4 _aThe State of Deformation in Earthlike Self-Gravitating Objects
_h[electronic resource] /
_cby Wolfgang H. M�uller, Wolf Weiss.
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 Applied Sciences and Technology,
_x2191-530X
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 _aEngineering.
650 0 _aPlanetology.
650 0 _aMechanics.
650 0 _aContinuum mechanics.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aPlanetology.
650 2 4 _aMechanics.
700 1 _aWeiss, Wolf.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319325781
830 0 _aSpringerBriefs in Applied Sciences and Technology,
_x2191-530X
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-32580-4
912 _aZDB-2-ENG
942 _cEBK
999 _c53938
_d53938