ENGLISH

Galilean Mechanics and Thermodynamics of Continua

By Gery de Saxce , Claude Vallée

Book information

Publisher
Wiley
Year
2016
ISBN
978-1-84821-642-6
Language
english
Format
PDF
Filesize
3 MB (3025092 bytes)
Series
Mechanical Enginnering and Solid Mechanics Series
Pages
450\450
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2016-03-11 07:59:57
молекулярная и статистическая физикаФизика;Термодинамика

Description

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.

Similar books