The state of deformation in earthlike self-gravitating objects
type: Item
instance of: scholarly article
title: The state of deformation in earthlike self-gravitating objects
zbMATH Open document ID: 1368.74002
DOI: 10.1007/978-3-319-32580-4
author: Wolfgang H. Müller
author: Wolf Weiss
published in: SpringerBriefs in Applied Sciences and Technology
publication date: 2017-03-20T00:00:00Z
review text: This small book describes the beginning of the scientific study of deformations of self-gra\-vi\-ta\-tion spheres, trying to emphasize the continuum mechanics perspective and attempting to present the modern theory. It also attempts to build a bridge between the continuum science and realistic applications. Chapter~1 describes the modeling of deformations and reviews the history and the state-of-art of the subject. Chapter~2 deals with the problem within the framework of linear elasticity and small deformations, and Chapter~3 presents an extensive discussion of self-gravity at large deformations in terms of physically linear geometrical elastic solids. Chapter~4 provides an interesting study of incompressibility with experiments. Finally, in Chapter~5, the authors give miscellaneous applications, numerical evaluations and some results. Overall, the book describes the development of the subject and points to new trends in the years to come.
reviewed by: Prabhat Kumar Mahanti
Mathematics Subject Classification ID: 74-02
Mathematics Subject Classification ID: 74L05
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 86A99
zbMATH DE Number: 6696107
zbMATH Keywords: strain
zbMATH Keywords: small deformation
zbMATH Keywords: large deformation
zbMATH Keywords: linear elasticity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-32580-4
OpenAlex ID: W2505479056
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description: scientific article; zbMATH DE number 6696107