Mathematical Modeling in Continuum Mechanics

Roger Temam, Alain Miranville

342 pages, parution le 19/05/2005 (2^eme édition)

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Résumé

Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics including viscous flow, magnetohydrodynamics, atmospheric flows, shock equations, turbulence, nonlinear solid mechanics, solitons, and the nonlinear Schrödinger equation.

This second edition will be a unique resource for those studying continuum mechanics at the advanced undergraduate and beginning graduate level whether in engineering, mathematics, physics or the applied sciences. Exercises and hints for solutions have been added to the majority of chapters, and the final part on solid mechanics has been substantially expanded. These additions have now made it appropriate for use as a textbook, but it also remains an ideal reference book for students and anyone interested in continuum mechanics.

New text by a well-known author
Part III (Solid Mechanics) has been substantially expanded and improved
Exercises and hints have been added to almost all chapters

L'auteur - Roger Temam

Temam, R., University de Paris Sud, Orsay, France

L'auteur - Alain Miranville

Miranville, A., Futuroscope, France

Sommaire

Introduction
A few words about notations
Part I. Fundamental Concepts in Continuum Mechanics: 1. Describing the motion of a system: geometry and kinematics
- 2. The fundamental law of dynamics
- 3. The Cauchy stress tensor - applications
- 4. Real and virtual powers
- 5. Deformation tensor, deformation rate tensor, constitutive laws
- 6. Energy equations and shock equations
Part II. Physics of Fluids: 7. General properties of Newtonian fluids
- 8. Flows of inviscid fluids
- 9. Viscous fluids and thermohydraulics
- 10. Magnetohydrodynamics and inertial confinement of plasmas
- 11. Combustion
- 12. Equations of the atmosphere and of the ocean
Part III. Solid Mechanics: 13. The general equations of linear elasticity
- 14. Classical problems of elastostatics
- 15. Energy theorems - duality: variational formulations
- 16. Introduction to nonlinear constitutive laws and to homogenization
- 17. Nonlinear elasticity and an application to biomechanics
Part IV. Introduction to Wave Phenomena: 18
- Linear wave equations in mechanics
- 19. The soliton equation: the Kortewed-de Vries equation
- 20. The nonlinear Schrödinger equation
- Appendix
- Hints for the exercises

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Roger Temam, Alain Miranville
Parution	19/05/2005
Édition	2^eme édition
Nb. de pages	342
Format	15 x 22,5
Couverture	Broché
Poids	575g
Intérieur	Noir et Blanc
EAN13	9780521617239
ISBN13	978-0-521-61723-9