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Galilean Mechanics and Thermodynamics of Continua

G de Saxcé (Autor)

Software / Digital Media
448 Seiten
2016
Wiley-Blackwell (Hersteller)
978-1-119-05795-6 (ISBN)
167,91 inkl. MwSt
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This title proposes a unified approach to continuum mechanics which is consistent with Galilean relativity. Based on the notion of affine tensors, a simple generalization of the classical tensors, this approach allows gathering the usual mechanical entities -- mass, energy, force, moment, stresses, linear and angular momentum -- in a single tensor.

Starting with the basic subjects, and continuing through to the most advanced topics, the authors' presentation is progressive, inductive and bottom-up. They begin with the concept of an affine tensor, a natural extension of the classical tensors. The simplest types of affine tensors are the points of an affine space and the affine functions on this space, but there are more complex ones which are relevant for mechanics - torsors and momenta. The essential point is to derive the balance equations of a continuum from a unique principle which claims that these tensors are affine-divergence free.

Gery de Saxce is Professor at Lille 1 University - Science and Technology, France.

Erscheint lt. Verlag 8.1.2016
Verlagsort Hoboken
Sprache englisch
Maße 150 x 250 mm
Gewicht 666 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Mechanik
Technik Maschinenbau
ISBN-10 1-119-05795-7 / 1119057957
ISBN-13 978-1-119-05795-6 / 9781119057956
Zustand Neuware
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