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The State of Deformation in Earthlike Self-Gravitating Objects

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 underly...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Müller, Wolfgang H. (Autor), Weiss, Wolf (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:SpringerBriefs in Continuum Mechanics,
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Müller, Wolfgang H.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 4 |a The State of Deformation in Earthlike Self-Gravitating Objects  |h [electronic resource] /  |c by Wolfgang H. Müller, Wolf Weiss. 
250 |a 1st ed. 2016. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2016. 
300 |a XII, 111 p. 36 illus., 33 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 1 |a SpringerBriefs in Continuum Mechanics,  |x 2625-1337 
505 0 |a The problem, its historical development and the shortcomings -- Analytical and numerical studies of the linear problem (small deformation theory) -- Numerical studies of the non-linear problem: shooting methods, finite differences, finite elements -- A radially symmetric composite shell model of the Earth. 
520 |a 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. 
650 0 |a Mechanics, Applied. 
650 0 |a Solids. 
650 0 |a Planetary science. 
650 0 |a Mechanics. 
650 1 4 |a Solid Mechanics. 
650 2 4 |a Planetary Science. 
650 2 4 |a Classical Mechanics. 
700 1 |a Weiss, Wolf.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783319325781 
776 0 8 |i Printed edition:  |z 9783319325798 
830 0 |a SpringerBriefs in Continuum Mechanics,  |x 2625-1337 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-32580-4  |z Texto Completo 
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950 |a Engineering (SpringerNature-11647) 
950 |a Engineering (R0) (SpringerNature-43712)