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 |  | 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 | doi | https://doi.org/10.1007/978-3-319-32580-4 | isbn_softcover | 978-3-319-32578-1 | isbn_ebook | 978-3-319-32580-4Series ISSN 2191-530X Series E-ISSN 2191-5318 | issn_series | 2191-530X | copyright | The Author(s) 2016 |
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