The Geometrical Language Of Continuum Mechanics

Download The Geometrical Language Of Continuum Mechanics full books in PDF, epub, and Kindle. Read online free The Geometrical Language Of Continuum Mechanics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

The Geometrical Language of Continuum Mechanics

The Geometrical Language of Continuum Mechanics
Author :
Publisher : Cambridge University Press
Total Pages : 325
Release :
ISBN-10 : 9781139490467
ISBN-13 : 113949046X
Rating : 4/5 (46X Downloads)

Book Synopsis The Geometrical Language of Continuum Mechanics by : Marcelo Epstein

Download or read book The Geometrical Language of Continuum Mechanics written by Marcelo Epstein and published by Cambridge University Press. This book was released on 2010-07-26 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal length, the book opens with a motivational chapter to impress upon the reader that differential geometry is indeed the natural language of continuum mechanics or, better still, that the latter is a prime example of the application and materialisation of the former. In the second part, the fundamental notions of differential geometry are presented with rigor using a writing style that is as informal as possible. Differentiable manifolds, tangent bundles, exterior derivatives, Lie derivatives, and Lie groups are illustrated in terms of their mechanical interpretations. The third part includes the theory of fiber bundles, G-structures, and groupoids, which are applicable to bodies with internal structure and to the description of material inhomogeneity. The abstract notions of differential geometry are thus illuminated by practical and intuitively meaningful engineering applications.


The Geometrical Language of Continuum Mechanics Related Books

The Geometrical Language of Continuum Mechanics
Language: en
Pages: 325
Authors: Marcelo Epstein
Categories: Science
Type: BOOK - Published: 2010-07-26 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Epstein presents the fundamental concepts of modern differential geometry within the framework of continuum mechanics. Divided into three parts of roughly equal
Geometric Continuum Mechanics
Language: en
Pages: 418
Authors: Reuven Segev
Categories: Mathematics
Type: BOOK - Published: 2020-05-13 - Publisher: Springer Nature

DOWNLOAD EBOOK

This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, th
Material Geometry: Groupoids In Continuum Mechanics
Language: en
Pages: 226
Authors: Manuel De Leon
Categories: Mathematics
Type: BOOK - Published: 2021-04-23 - Publisher: World Scientific

DOWNLOAD EBOOK

This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuou
General Continuum Mechanics
Language: en
Pages: 399
Authors: T. J. Chung
Categories: Science
Type: BOOK - Published: 2007-01-29 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

General Continuum Mechanics provides an integrated and unified study of continuum mechanics.
Continuum Mechanics in the Earth Sciences
Language: en
Pages: 195
Authors: William I. Newman
Categories: Science
Type: BOOK - Published: 2012-03-15 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary