Configurational forces as basic concepts of continuum physics

  • 作者: Gurtin, Morton E.
  • 出版: New York : Springer ©2000.
  • 稽核項: 1 online resource (xiii, 249 pages).
  • 叢書名: Applied mathematical sciences ;137
  • 標題: MATHEMATICS Pre-Calculus. , Electronic books. , Waves & Wave Mechanics. , Pre-Calculus. , SCIENCE Waves & Wave Mechanics. , Reference. , Configuration space. , Champs, Théorie des (Physique) , Field theory (Physics) , Fonctions d'onde. , MATHEMATICS Essays. , SCIENCE , MATHEMATICS , Essays. , MATHEMATICS Reference.
  • ISBN: 661001051X , 9786610010516
  • ISBN: 9780387986678 , 0387986677
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  • 附註: Includes bibliographical references (pages 239-245) and index. Cover -- Table of Contents -- 1. Introduction -- 2. Kinematics -- 3. Standard Forces. Working -- 4. Migrating Control Volumes. Stationary and Time-Dependent Changes in Reference Configuration -- 5. Configurational Forces -- 6. Thermodynamics. Relation Between Bulk Tension and Energy. Eshelby Identity -- 7. Inertia and Kinetic Energy. Alternative Versions of the Second Law -- 8. Change in Reference Configuration -- 9. Elastic and Thermoelastic Materials -- 10. Interface Kinematics -- 11. Interface Forces. Second Law -- 12. Inertia. Basic Equations for the Interface -- 13. Formulation within a Classical Context -- 14. Coherent Phase Interfaces -- 15. Evolving Surfaces -- 16. Configurational Force System. Working -- 17. Second Law -- 18. Constitutive Equations. Evolution Equation for the Interface -- 19. Two-Dimensional Theory1 -- 20. Theory Neglecting Standard Interfacial Stress -- 21. General Theory with Standard and Configurational Stress within the Interface -- 22. Two-Dimensional Theory with Standard and Configurational Stress within the Interface -- 23. Solidification. The Stefan Condition as a Consequence of the Configurational Force Balance -- 24. Solidification with Interfacial Energy and Entropy -- 25. Cracked Bodies -- 26. Motions -- 27. Forces. Working -- 28. The Second Law -- 29. Basic Results for the Crack Tip -- 30. Constitutive Theory for Growing Cracks -- 31. Kinking and Curving of Cracks. Maximum Dissipation Criterion -- 32. Fracture in Three Space Dimensions (Results) -- 33. Preliminaries. Transport Theorems -- 34. Thermomechanical Theory of Junctions and Corners -- A1. Weak Principle of Virtual Work -- A2. Strong Principle of Virtual Work -- References.
  • 摘要: For the last decade, the author has been working to extend continuum mechanics to treat moving boundaries in materials focusing, in particular, on problems of metallurgy. This monograph presents a rational treatment of the notion of configurational forces; it is an effort to promote a new viewpoint. Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture. The work should be of interest to materials scientists, mechanicians, and mathematicians.
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  • 系統號: 005307184
  • 資料類型: 電子書
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