Details

An Expedition to Continuum Theory

Solid Mechanics and Its Applications, Band 210

von: Wolfgang H. Müller
96,29 €
Verlag:	Springer
Format:	PDF
Veröffentl.:	18.01.2014
ISBN/EAN:	9789400777996
Sprache:	englisch
Anzahl Seiten:	399

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Beschreibungen

Titelbeschreibung

This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.

Inhaltsverzeichnis

1 Prologue.- 2 Coordinate transformations.- 3 Balances (in particular in Cartesian systems.- 4 Spatial derivatives of fields.- 5 Balance equations in skew curvilinear coordinate systems.- 6 Constitutive equations in arbitrary coordinate systems.- 7 A first glance on field equations.- 8 Observers and frames of reference in classical continuum theory.- 9 Problems of linear elasticity.- 10 Selected problems for Newtonian and Maxwellian fluids.- 11 Introduction to time-independent plasticity theory.- 12 Entropy.- 13 Fundamentals of electromagnetic field theory.- Picture sources.- Subject index.

Back cover copy

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.

Sonderbeitrag

Contains many examples and problems Teaches continuum theory from a holistic point of view Encompasses the mechanics of solids and fluids as well as electromagnetic aspects of the behavior of matter Teaches tensor algebra and tensor calculus from an applied point of view Includes supplementary material: sn.pub/extras