Galilean Mechanics and Thermodynamics of Continua e-bog
1386,89 DKK
(inkl. moms 1733,61 DKK)
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 continuin...
E-bog
1386,89 DKK
Forlag
Wiley-ISTE
Udgivet
7 januar 2016
Genrer
Classical mechanics
Sprog
English
Format
epub
Beskyttelse
LCP
ISBN
9781119058090
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.