The State Of Deformation In Earthlike Self Gravitating Objects

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The State Of Deformation In Earthlike Self Gravitating Objects

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Author : Wolfgang H. Müller
language : en
Publisher: Springer
Release Date : 2016-04-30

The State Of Deformation In Earthlike Self Gravitating Objects written by Wolfgang H. Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-30 with Science categories.

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.

Advanced Methods Of Continuum Mechanics For Materials And Structures

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Author : Konstantin Naumenko
language : en
Publisher: Springer
Release Date : 2016-05-12

Advanced Methods Of Continuum Mechanics For Materials And Structures written by Konstantin Naumenko and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-12 with Science categories.

This volume presents a collection of contributions on advanced approaches of continuum mechanics, which were written to celebrate the 60th birthday of Prof. Holm Altenbach. The contributions are on topics related to the theoretical foundations for the analysis of rods, shells and three-dimensional solids, formulation of constitutive models for advanced materials, as well as development of new approaches to the modeling of damage and fractures.

On Foundations Of Seismology Bringing Idealizations Down To Earth

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Author : James Robert Brown
language : en
Publisher: World Scientific
Release Date : 2017-04-27

On Foundations Of Seismology Bringing Idealizations Down To Earth written by James Robert Brown and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-27 with Science categories.

'I can wholeheartedly recommend this book students, researchers, college and university science professors, and readers of The Leading Edge. I also recommend it to all those who want to enrich their own experience of practicing and teaching science with some carefully considered soul searching on how it all fits together in the human story of ‘figuring things out’ … It is written throughout with precise and careful language: prudently paced, carefully crafted, eloquently enunciated, and playfully illuminated.'The Leading EdgeThis remarkable collaboration between a mathematical physicist and a science philosopher concerns foundational and conceptual issues in seismology. Their aim is to present mathematical, physical and philosophical topics in a clear and concise manner. They provide an extensive philosophical discussion of the methods of science and show how seismology fits in. They explain with care and precision the basic structure of seismology, which is built on classical continuum mechanics. Not only do they explain how various models work in seismology, they also include an extensive discussion of the nature of models and idealizations.

Waves And Rays In Seismology Answers To Unasked Questions Second Edition

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Author : Michael A Slawinski
language : en
Publisher: World Scientific
Release Date : 2018-05-04

Waves And Rays In Seismology Answers To Unasked Questions Second Edition written by Michael A Slawinski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-04 with Science categories.

'In summary, Professor Slawinski has written an engaging volume covering an unfamiliar topic in a highly accessible fashion. Non-specialists will gain a significant appreciation of the unique complexities associated with seismology.'Contemporary PhysicsThe author dedicates this book to readers who are concerned with finding out the status of concepts, statements and hypotheses, and with clarifying and rearranging them in a logical order. It is thus not intended to teach tools and techniques of the trade, but to discuss the foundations on which seismology — and in a larger sense, the theory of wave propagation in solids — is built. A key question is: why and to what degree can a theory developed for an elastic continuum be used to investigate the propagation of waves in the Earth, which is neither a continuum nor fully elastic. But the scrutiny of the foundations goes much deeper: material symmetry, effective tensors, equivalent media; the influence (or, rather, the lack thereof) of gravitational and thermal effects and the rotation of the Earth, are discussed ab initio. The variational principles of Fermat and Hamilton and their consequences for the propagation of elastic waves, causality, Noether's theorem and its consequences on conservation of energy and conservation of linear momentum are but a few topics that are investigated in the process to establish seismology as a science and to investigate its relation to subjects like realism and empiricism in natural sciences, to the nature of explanations and predictions, and to experimental verification and refutation.In the second edition, new sections, figures, examples, exercises and remarks are added. Most importantly, however, four new appendices of about one-hundred pages are included, which can serve as a self-contained continuum-mechanics course on finite elasticity. Also, they broaden the scope of elasticity theory commonly considered in seismology.

Waves And Rays In Seismology Answers To Unasked Questions Third Edition

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Author : Michael A Slawinski
language : en
Publisher: World Scientific
Release Date : 2020-11-20

Waves And Rays In Seismology Answers To Unasked Questions Third Edition written by Michael A Slawinski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-20 with Science categories.

This is a book on seismology dealing with advanced aspects of wave propagation in complex media. It can also be viewed as a book on mathematical modelling, wherein the accuracy of describing seismic phenomena exemplifies the modelling itself. The book gives an insight into the power of abstractness by applying the same mathematical methods and strategies to solve a variety of different physical problems. This book covers a broad range of topics in an advanced yet accessible manner. Each chapter is accompanied by a number of solved exercises, which render the book convenient for a lecturer and facilitate its use for an independent study. The details of mathematical methods are discussed in the appendices, which form a substantial portion of the book.

New Achievements In Continuum Mechanics And Thermodynamics

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Author : Bilen Emek Abali
language : en
Publisher: Springer
Release Date : 2019-03-13

New Achievements In Continuum Mechanics And Thermodynamics written by Bilen Emek Abali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-13 with Science categories.

This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.

Bulletin Of The Atomic Scientists

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Author :
language : en
Publisher:
Release Date : 1969-09

Bulletin Of The Atomic Scientists written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969-09 with categories.

The Bulletin of the Atomic Scientists is the premier public resource on scientific and technological developments that impact global security. Founded by Manhattan Project Scientists, the Bulletin's iconic "Doomsday Clock" stimulates solutions for a safer world.

The Precession And Nutation Of Deformable Bodies Iv Deformation Of Self Gravitating Elastic Solids

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Author : Zdenek Kopal
language : en
Publisher:
Release Date : 1967

The Precession And Nutation Of Deformable Bodies Iv Deformation Of Self Gravitating Elastic Solids written by Zdenek Kopal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.

The report derives the explicit form of equivalent equations which govern the deformations of self-gravitating elastic bodies of non-uniform internal temperature, whose dynamical behavior is characterized by variable Lame parameters lambda and mu. Special respect will be paid to small deformations (or oscillations) about the state of hydrostatic equilibrium, characterized by spheroidal or toroidal symmetry.