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The state of deformation in Earthlik...

Muller, Wolfgang H.

The state of deformation in Earthlike self-gravitating objects

Record Type:	Electronic resources : Monograph/item
Title/Author:	The state of deformation in Earthlike self-gravitating objectsby Wolfgang H. Muller, Wolf Weiss.
Author:	Muller, Wolfgang H.
other author:	Weiss, Wolf.
Published:	Cham :Springer International Publishing :2016.
Description:	xii, 111 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Continuum mechanics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-32580-4
ISBN:	9783319325804$q(electronic bk.)

The state of deformation in Earthlike self-gravitating objects
Muller, Wolfgang H.

The state of deformation in Earthlike self-gravitating objects[electronic resource] /by Wolfgang H. Muller, Wolf Weiss. - Cham :Springer International Publishing :2016. - xii, 111 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

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$q(electronic bk.)

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

190274
Continuum mechanics.

LC Class. No.: QA808.2

Dewey Class. No.: 531

The state of deformation in Earthlike self-gravitating objects
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100 1 $a Muller, Wolfgang H. $3 340049
245 1 4 $a The state of deformation in Earthlike self-gravitating objects $h [electronic resource] / $c by Wolfgang H. Muller, Wolf Weiss.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xii, 111 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in applied sciences and technology, $x 2191-530X
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.
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650 2 4 $a Planetology. $3 274195
650 2 4 $a Mechanics. $3 200022
700 1 $a Weiss, Wolf. $3 256350
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