TY - BOOK ID - 8655335 TI - The state of deformation in earthlike self-gravitating objects AU - Müller, Wolfgang H. AU - Weiss, Wolf. PY - 2016 SN - 3319325787 3319325809 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Materials Science KW - Applied Mathematics KW - Chemical & Materials Engineering KW - Engineering & Applied Sciences KW - Continuum mechanics. KW - Deformations (Mechanics) KW - Mechanics of continua KW - Elasticity KW - Mechanics, Analytic KW - Field theory (Physics) KW - Elastic solids KW - Mechanics KW - Rheology KW - Strains and stresses KW - Structural failures KW - Mechanics. KW - Mechanics, Applied. KW - Planetology. KW - Solid Mechanics. KW - Classical Mechanics. KW - Planetary sciences KW - Planetology KW - Applied mechanics KW - Engineering, Mechanical KW - Engineering mathematics KW - Classical mechanics KW - Newtonian mechanics KW - Physics KW - Dynamics KW - Quantum theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:8655335 AB - 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. ER -