The State of Deformation in Earthlike Self-Gravitating Objects

The State of Deformation in Earthlike Self-Gravitating Objects
Author :
Publisher : Springer
Total Pages : 117
Release :
ISBN-10 : 9783319325804
ISBN-13 : 3319325809
Rating : 4/5 (809 Downloads)

Book Synopsis The State of Deformation in Earthlike Self-Gravitating Objects by : Wolfgang H. Müller

Download or read book The State of Deformation in Earthlike Self-Gravitating Objects written by Wolfgang H. Müller and published by Springer. This book was released on 2016-04-30 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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