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Titlebook: The State of Deformation in Earthlike Self-Gravitating Objects; Wolfgang H. Müller,Wolf Weiss Book 2016 The Author(s) 2016 Finite Element

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书目名称The State of Deformation in Earthlike Self-Gravitating Objects
编辑Wolfgang H. Müller,Wolf Weiss
视频video
概述Presents an in-depth analysis of the deformation due to self-gravitation in multilayer telluric objects like the Earth.Summarizes the current state-of-the-art by providing a comprehensive literature r
丛书名称SpringerBriefs in Applied Sciences and Technology
图书封面Titlebook: The State of Deformation in Earthlike Self-Gravitating Objects;  Wolfgang H. Müller,Wolf Weiss Book 2016 The Author(s) 2016 Finite Element
描述.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..
出版日期Book 2016
关键词Finite Element Analysis; Finite Difference Analysis; Newton‘s Law of Gravity; Preliminary Earth Model P
版次1
doihttps://doi.org/10.1007/978-3-319-32580-4
isbn_softcover978-3-319-32578-1
isbn_ebook978-3-319-32580-4Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s) 2016
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