Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Continuum Mechanics (BRIEFSCONTINU)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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 viewpointof rational continuum theory and numerical analysis.
Authors and Affiliations
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Technische Universität Berlin, Berlin, Germany
Wolfgang H. Müller
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Weierstraß-Ins. für Angewandte Anal. & S, Berlin, Germany
Wolf Weiss
Bibliographic Information
Book Title: The State of Deformation in Earthlike Self-Gravitating Objects
Authors: Wolfgang H. Müller, Wolf Weiss
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-32580-4
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-32578-1Published: 16 May 2016
eBook ISBN: 978-3-319-32580-4Published: 30 April 2016
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: XII, 111
Number of Illustrations: 3 b/w illustrations, 33 illustrations in colour
Topics: Solid Mechanics, Planetology, Classical Mechanics