Continuum Mechanics and Linear Elasticity

An Applied Mathematics Introduction

Ciprian D. Coman (Autor)

Buch | Hardcover

519 Seiten

2019 | 1st ed. 2020
Springer (Verlag)
978-94-024-1769-2 (ISBN)

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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).

Ciprian D. Coman is currently a Senior Lecturer at the School of Computing and Engineering at the University of Huddersfield in the UK. A seasoned applied mathematician with over two decades of professional experience, Dr. Coman has held academic positions at various universities in the UK (Leicester, Glasgow, Nottingham), as well as in several industrial organisations (Institute of Solid Mechanics of the Romanian Academy, Schlumberger Ltd, and National Physical Laboratory/UK). His main research interests are in the areas of theoretical and applied mechanics, with a special focus on mathematical modelling involving differential equations and singular perturbation techniques, elastic stability problems, and the micromechanics of particulate solids. He has published more than 50 peer-reviewed journal articles and has co-authored over 25 technical reports.

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.

Erscheinungsdatum	25.11.2019
Reihe/Serie	Solid Mechanics and Its Applications ; 238
Zusatzinfo	154 Illustrations, black and white; XV, 519 p. 154 illus.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Technik ► Maschinenbau
ISBN-10	94-024-1769-9 / 9402417699
ISBN-13	978-94-024-1769-2 / 9789402417692
Zustand	Neuware