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Cover: 9780521617239 | Mathematical Modeling in Continuum Mechanics | Roger Temam | Buch
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Mathematical Modeling in Continuum Mechanics
Taschenbuch von Roger Temam
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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; References; Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521617239
ISBN-10: 0521617235
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Temam, Roger
Auflage: 2. Auflage
Hersteller: Cambridge University Press
Maße: 229 x 152 x 22 mm
Von/Mit: Roger Temam
Erscheinungsdatum: 02.07.2010
Gewicht: 0,578 kg
Artikel-ID: 107546052
Inhaltsverzeichnis
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; References; Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Mechanik & Akustik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521617239
ISBN-10: 0521617235
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Temam, Roger
Auflage: 2. Auflage
Hersteller: Cambridge University Press
Maße: 229 x 152 x 22 mm
Von/Mit: Roger Temam
Erscheinungsdatum: 02.07.2010
Gewicht: 0,578 kg
Artikel-ID: 107546052
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