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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The State of Deformation in Earthlike Self-Gravitating Objects

The State of Deformation in Earthlike Self-Gravitating Objects

Müller, Wolfgang H.
Weiss, Wolf

Paperback

Technology & EngineeringGeologyPhysics

ISBN10: 3319325787
ISBN13: 9783319325781
Publisher: Springer
Published: May 16 2016
Pages: 111
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English

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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