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The State of Deformation in Earthlike Self-Gravitating Objects

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Kurzbeschreibung

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.

Details
Schlagworte

Titel: The State of Deformation in Earthlike Self-Gravitating Objects
Autoren/Herausgeber: Wolfgang Mueller, Wolf Weiss
Aus der Reihe: SpringerBriefs in Continuum Mechanics
Ausgabe: 1st ed. 2016

ISBN/EAN: 9783319325781

Seitenzahl: 111
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 203 g
Sprache: Englisch

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