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E-book
Author Coman, Ciprian D., author

Title Continuum mechanics and linear elasticity : an applied mathematics introduction / Ciprian D. Coman
Published Dordrecht, The Netherlands : Springer, [2020]

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Description 1 online resource (xv, 519 pages) : illustrations
Series Solid mechanics and its applications, 0925-0042 ; volume 238
Solid mechanics and its applications ; v. 238. 0925-0042
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
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 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)
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed November 4, 2019)
Subject Continuum mechanics.
Continuum mechanics
Form Electronic book
ISBN 9789402417715
9402417710