Saxce, Géry de,

Galilean mechanics and thermodynamics of continua / Géry de Saxcé, Claude Vallée. - xxviii, 413 pages : illustrations ; 24 cm. - Mechanical engineering and solid mechanics series . - Mechanical engineering and solid mechanics series. .

Includes bibliographical references and index.

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.--

9781848216426 1848216424 1119058090 9781119058090 1119057957 9781119057956

2015957652


Continuum mechanics.
Laws of thermodynamics.
Continuum mechanics.
Laws of thermodynamics.

QA808.2 / .S27 2016

531.14 / s272