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portada The State of Deformation in Earthlike Self-Gravitating Objects
Type
Physical Book
Author
Publisher
Language
English
Pages
111
Format
Paperback
Dimensions
23.4 x 15.6 x 0.7 cm
Weight
0.19 kg.
ISBN13
9783319325781
Categories

The State of Deformation in Earthlike Self-Gravitating Objects

Wolf Weiss (Author) · Wolfgang H. Müller (Author) · Springer · Paperback

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

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Synopsis "The State of Deformation in Earthlike Self-Gravitating Objects"

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.

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