Mathematical modeling in continuum mechanics

書誌事項

Mathematical modeling in continuum mechanics

Roger Temam, Alain Miranville

Cambridge University Press, 2005

2nd ed

  • : pbk

大学図書館所蔵 件 / 19

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

  • 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.

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詳細情報

  • NII書誌ID(NCID)
    BA71968100
  • ISBN
    • 9780521617239
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge
  • ページ数/冊数
    xii, 342 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
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