Galilean Mechanics and Thermodynamics of Continua (PDF)
(Sprache: Englisch)
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...
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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.
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.
Autoren-Porträt von Géry De Saxcé, Claude Vallee
Géry de Saxcé is Professor at Lille 1 University - Science and Technology, France.
Bibliographische Angaben
- Autoren: Géry De Saxcé , Claude Vallee
- 2016, 1. Auflage, 448 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 1119058031
- ISBN-13: 9781119058038
- Erscheinungsdatum: 07.01.2016
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- Grösse: 3.99 MB
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Sprache:
Englisch
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