An Expedition to Continuum Theory (eBook)
XIII, 399 Seiten
Springer Netherland (Verlag)
978-94-007-7799-6 (ISBN)
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.
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.
1 Prologue2 Coordinate transformations3 Balances (in particular in Cartesian systems4 Spatial derivatives of fields5 Balance equations in skew curvilinear coordinate systems 6 Constitutive equations in arbitrary coordinate systems7 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 fluids11 Introduction to time-independent plasticity theory12 Entropy 13 Fundamentals of electromagnetic field theoryPicture sourcesSubject index
| Erscheint lt. Verlag | 18.1.2014 |
|---|---|
| Reihe/Serie | Solid Mechanics and Its Applications | Solid Mechanics and Its Applications |
| Zusatzinfo | XIII, 399 p. 161 illus., 32 illus. in color. |
| Verlagsort | Dordrecht |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Statistik |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Technik ► Maschinenbau | |
| Schlagworte | Balance Laws • constitutive relations • Continuum Theory • electromagnetism • Solid and Fluid Mechanics • Tensor Notation |
| ISBN-10 | 94-007-7799-X / 940077799X |
| ISBN-13 | 978-94-007-7799-6 / 9789400777996 |
| Haben Sie eine Frage zum Produkt? |
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