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Author Müller, Wolfgang H., 1959- author.

Title An expedition to continuum theory / Wolfgang H. Müller
Published Dordrecht : Springer, 2014


Description 1 online resource (xiii, 399 pages) : illustrations (some color)
Series Solid Mechanics and Its Applications, 0925-0042 ; volume 210
Solid mechanics and its applications ; v. 210. 0925-0042
Contents Coordinate transformations -- Balances (in particular in Cartesian systems -- Spatial derivatives of fields -- Balance equations in skew curvilinear coordinate systems -- Constitutive equations in arbitrary coordinate systems -- A first glance on field equations -- Observers and frames of reference in classical continuum theory -- Problems of linear elasticity -- Selected problems for Newtonian and Maxwellian fluids -- Introduction to time-independent plasticity theory -- Entropy -- Fundamentals of electromagnetic field theory
Summary This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It also presents the necessary mathematical framework, namely tensor algebra and tensor calculus, by using an inductive approach, which makes it particularly suitable for beginners. In general, the book can be used in undergraduate classes on continuum theory and, more specifically, in courses on continuum mechanics, for students of physics and engineering alike. The benefits for the readers consist of providing a sound basis of the subject as a whole and of training their ability for solving specific problems in a rational manner. For this purpose the general laws of nature in terms of the balances for mass, momentum, and energy are applied and combined with constitutive relations, which are material specific. Various examples and homework problems illustrate how to use the theory in daily practice. Numerous mini-biographies have been added to the mathematical text for diversion and amusement
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (SpringerLink, viewed January 20, 2014)
In Springer eBooks
Subject Continuum mechanics.
SCIENCE -- Mechanics -- General.
SCIENCE -- Mechanics -- Solids.
Continuum mechanics.
Form Electronic book
ISBN 9789400777996