國立虎尾科技大學 |

The State of Deformation in Earthlike Self-Gravitating Objects

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The State of Deformation in Earthlike Self-Gravitating Objects/ by Wolfgang H. Müller, Wolf Weiss.
Author:	Müller, Wolfgang H.
other author:	Weiss, Wolf.
Description:	XII, 111 p. 36 illus., 33 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mechanics. -
Online resource:	https://doi.org/10.1007/978-3-319-32580-4
ISBN:	9783319325804

The State of Deformation in Earthlike Self-Gravitating Objects
Müller, Wolfgang H.

The State of Deformation in Earthlike Self-Gravitating Objects[electronic resource] /by Wolfgang H. Müller, Wolf Weiss. - 1st ed. 2016. - XII, 111 p. 36 illus., 33 illus. in color.online resource. - SpringerBriefs in Continuum Mechanics,2625-1329. - SpringerBriefs in Continuum Mechanics,.

The 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.

This 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.

ISBN: 9783319325804

Standard No.: 10.1007/978-3-319-32580-4doiSubjects--Topical Terms:

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

The State of Deformation in Earthlike Self-Gravitating Objects
LDR:02731nam a22003975i 4500 001 971742
003 DE-He213
005 20200705021006.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319325804 $9 978-3-319-32580-4
024 7 $a 10.1007/978-3-319-32580-4 $2 doi
035 $a 978-3-319-32580-4
050 4 $a TA349-359
072 7 $a TGMD $2 bicssc
072 7 $a SCI096000 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 531 $2 23
100 1 $a Müller, Wolfgang H. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1267075
245 1 4 $a The State of Deformation in Earthlike Self-Gravitating Objects $h [electronic resource] / $c by Wolfgang H. Müller, Wolf Weiss.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XII, 111 p. 36 illus., 33 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Continuum Mechanics, $x 2625-1329
505 0 $a The 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 $a This 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 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Planetology. $3 593937
650 1 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Classical Mechanics. $3 1140387
700 1 $a Weiss, Wolf. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 671404
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319325781
776 0 8 $i Printed edition: $z 9783319325798
830 0 $a SpringerBriefs in Continuum Mechanics, $x 2625-1329 $3 1267076
856 4 0 $u https://doi.org/10.1007/978-3-319-32580-4
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)