Название: Galilean Mechanics and Thermodynamics of Continua
Автор: G?ry de Saxc?, Claude Valle?
Издательство: Wiley
Год: 2016
ISBN: 9781119058090
Формат: pdf
Страниц: 446
Размер: 5,6 mb
Язык: English

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.