Mathematical Modeling in Continuum Mechanics
2nd Edition
Published on 23. May 2005
978-0-511-11166-2 (ISBN)
Description
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 Schroedinger 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.
Reviews / Votes
'This second edition is a unique resource for physicists, applied mathematicians and engineers studying the general themes of fluid and solid mechanics. ... an ideal self-study vehicle for practicing physicists, applied mathematicians and engineers. Furthermore, it is an excellent introductory text for advanced engineering students and anyone interested in continuum mechanics.' Zentralblatt MATHMore details
Edition
2nd Revised edition
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
Worked examples or Exercises
File size
1,95 MB
ISBN-13
978-0-511-11166-2 (9780511111662)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Roger Temam | Alain Miranville
Mathematical Modeling in Continuum Mechanics
Book
05/2005
2nd Edition
Cambridge University Press
€90.20
Shipment within 15-20 days
Persons
Content
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 Schroedinger equation; Appendix; Hints for the exercises; References; Index.
