Research Catalog

Title

Configurational forces as basic concepts of continuum physics / Morton E. Gurtin.

Author

Gurtin, Morton E.

Publication

New York : Springer, [2000], ©2000.

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Holdings

Details

Description

xiii, 249 pages : illustrations; 25 cm.

Summary

"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."--BOOK JACKET.

Series Statement

Applied mathematical sciences ; v. 137

Uniform Title

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 137.

Subjects

• Configuration space
• Field theory (Physics)

Bibliography (note)

• Includes bibliographical references (p. [239]-245) and index.

Contents

• 1. Introduction -- A. Configurational forces within a classical context. 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 -- B. The use of configurational forces to characterize coherent phase interfaces. 10. Interface kinematics. 11. Interface forces. Second law. 12. Inertia. Basic equations for the interface -- C. An equivalent formulation of the theory. Infinitesimal deformations. 13. Formulation within a classical context. 14. Coherent phase interfaces -- D. Evolving interfaces neglecting bulk behavior. 15. Evolving surfaces. 16. Configurational force system. Working. 17. Second law. 18. Constitutive equations.
• 19. Two-dimensional theory -- E. Coherent phase interfaces with interfacial energy and deformation. 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 -- F. Solidification. 23. Solidification. The Stefan condition as a consequence of the configurational force balance. 24. Solidification with interfacial energy and entropy -- G. Fracture. 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) -- H. Two-dimensional theory of corners and junctions neglecting inertia. 33. Preliminaries. Transport theorems. 34. Thermomechanical theory of junctions and corners --
• I. Appendices on the principle of virtual work for coherent phase interfaces. A1. Weak principle of virtual work. A2. Strong principle of virtual work.

ISBN

0387986677 (cloth : alk. paper)

LCCN

98055407

OCLC

ocm40602681

Owning Institutions

Columbia University Libraries