The State of Deformation in Earthlike Self-Gravitating Objects
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"The State of Deformation in Earthlike Self-Gravitating Objects" by Wolfgang H. Müller, Wolf Weiss is a astronomy book and space science reference focused on Deep Sky & Solar System. Best for students, researchers, and serious astronomy enthusiasts.
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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"The State of Deformation in Earthlike Self-Gravitating Objects" by Wolfgang H. Müller, Wolf Weiss is a astronomy book and space science reference focused on Deep Sky & Solar System. Best for students, researchers, and serious astronomy enthusiasts.
Topic: Deep Sky & Solar System
Author: Wolfgang H. Müller, Wolf Weiss
Who this is for:
- Astronomy students
- Researchers and advanced hobbyists
- Readers exploring space science topics
Why this book matters: It matters because it helps readers build a stronger understanding of astronomy concepts, observations, and scientific ideas related to space.
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.
| Author | Wolfgang H. Müller, Wolf Weiss |
| Publisher | Springer |
| Published | 2016-05-16 |
| ISBN-13 | 9783319325781 |
| Binding | Paperback |
| Language | English |
| Subjects | Science |
| Topic | Deep Sky & Solar System |
| Series | Springerbriefs in Applied Sciences and Technology |
Format: Paperback
Language: English
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