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The State of Deformation in Earthlike Self-Gravitating Objects

Af: Wolfgang H. Muller, Wolf Weiss Engelsk Paperback

The State of Deformation in Earthlike Self-Gravitating Objects

Af: Wolfgang H. Muller, Wolf Weiss Engelsk Paperback
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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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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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Produktdetaljer
Sprog: Engelsk
Sider: 111
ISBN-13: 9783319325781
Indbinding: Paperback
Udgave:
ISBN-10: 3319325787
Kategori: Solsystemet: solen og planeterne
Udg. Dato: 16 maj 2016
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 16 maj 2016
Forfatter(e): Wolfgang H. Muller, Wolf Weiss
Forfatter(e) Wolfgang H. Muller, Wolf Weiss

Kategori Solsystemet: solen og planeterne

ISBN-13 9783319325781

Sprog Engelsk

Indbinding Paperback

Sider 111

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 16 maj 2016

Oplagsdato 16 maj 2016

Forlag Springer International Publishing AG