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Continuum mechanics and linear elasticity : an applied mathematics introduction

Author: Ciprian D Coman
Publisher: Dordrecht, The Netherlands : Springer, [2020].
Series: Solid mechanics and its applications, v. 238.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever  Read more...
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Details

Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ciprian D Coman
ISBN: 9789402417715 9402417710
OCLC Number: 1126279000
Description: 1 online resource (xv, 519 pages) : illustrations.
Contents: Elements of continuum mechanics --
Kinematics --
Balance laws --
Constitutive behaviour --
Linear elasticity --
General boundary-value problems --
Compatibility conditions and the Cesaro-Volterra path integral --
The semi-inverse method and simple applications --
Two-dimensional approximations --
Saint-Venants torsion theory for slender beams.
Series Title: Solid mechanics and its applications, v. 238.
Responsibility: Ciprian D. Coman.

Abstract:

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

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