Click Here to Download: https://ouo.io/BjyiZIVn The State of Deformation in Earthlike Self-Gravitating Objects By: Wolfgang H. Müller; Wolf Weiss Publisher: Springer Print ISBN: 9783319325781, 3319325787 eText ISBN: 9783319325804, 3319325809 Copyright year: 2016 Format: PDF Available from $ 69.99 USD SKU 9783319325804 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.