Central Library

Normal view MARC view ISBD view

Continuum Mechanics and Linear Elasticity [electronic resource] : An Applied Mathematics Introduction / by Ciprian D. Coman.

By: Coman, Ciprian D [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Solid Mechanics and Its Applications: 238Publisher: Dordrecht : Springer Netherlands : Imprint: Springer, 2020Edition: 1st ed. 2020.Description: XV, 519 p. 154 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789402417715.Subject(s): Mechanics, Applied | Mathematics | Mechanics | Engineering Mechanics | Applications of Mathematics | Classical MechanicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 620.1 Online resources: Click here to access online
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-Venant’s torsion theory for slender beams.
In: Springer Nature eBookSummary: 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). .
    average rating: 0.0 (0 votes)
No physical items for this record

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-Venant’s torsion theory for slender beams.

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). .

There are no comments for this item.

Log in to your account to post a comment.