The State of Deformation in Earthlike Self-Gravitating Objects

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Beschreibung

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.



Presents an in-depth analysis of the deformation due to self-gravitation in multilayer telluric objects like the Earth

Summarizes the current state-of-the-art by providing a comprehensive literature review on the topic

Bridges the gap between the research worlds of geophysics and continuum theory



Klappentext




Inhalt
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.

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Produktinformationen

Titel
The State of Deformation in Earthlike Self-Gravitating Objects
Autor
EAN
9783319325781
ISBN
3319325787
Format
Kartonierter Einband
Herausgeber
Springer International Publishing
Genre
Mathematik
Anzahl Seiten
124
Gewicht
201g
Größe
H235mm x B155mm x T7mm
Jahr
2016
Untertitel
Englisch
Auflage
1st ed. 2016
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