Galilean Mechanics and Thermodynamics of Continua (eBook)

G ry de Saxc, Claude Valle (Autoren)

eBook Download: PDF

2016 | 1. Auflage
448 Seiten
Wiley (Verlag)
978-1-119-05803-8 (ISBN)

Infos

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.

Autor

Géry de Saxcé is Professor at Lille 1 University - Science and Technology, France.

Inhalt

Chapter 1: Introduction

Chapter 2: Galileo's Principle of Relativity

Chapter 3: Statics

Chapter 4: Dynamics of particles

Chapter 5: Statics of arches, cables and beams

Chapter 6: Dynamics of rigid bodies

Chapter 7: Calculus of Variations

Chapter 8: Static of 3D continua

Chapter 9: Elasticity and elementary theory of beams

Chapter 10: Dynamics of 3D continua and elementary fluiddynamics

Chapter 11: Thermodynamics of reversible continua

Chapter 12: Thermodynamics of dissipative 3D continua

Chapter 13: Statics and Dynamics of shells

Chapter 14: Affine structure on a manifold

Chapter 15: Galilean and Bargmannian structures on amanifold

Chapter 16: Symplectic structure on a manifold

Produkt-Details

• Erscheint lt. Verlag: 7.1.2016
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Computational / Numerical Methods • Maschinenbau • mechanical engineering • Mechanik • Rechnergestützte / Numerische Verfahren im Maschinenbau • Rechnergestützte / Numerische Verfahren im Maschinenbau • Thermodynamik
• ISBN-10: 1-119-05803-1 / 1119058031
• ISBN-13: 978-1-119-05803-8 / 9781119058038