Configurational forces and gauge conditions in electromagnetic bodies
Source abstract
Abstract
The author examines the consequences of admissible gauge transformations for the formulation of configurational forces in defective and cracked electromagnetic bodies. Such transformations must leave both Maxwell equations and the balance of material momentum invariant. A further discussed question is the relevance of this invariance property to the phenomenological formulation of superconductivity in deformable solids where super current and material momentum seem to be intimately related.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Elasticity and Material Modeling · Elasticity and Wave Propagation · Quantum and Classical Electrodynamics
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References (29)
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1. Aharonov Y and Bohm D (1959). Significance of electromagnetic potentials in the quantum theory. Phys Rev 2d Series 115(3): 485–491
2. Becker R and Sauter F (1964). Electromagnetic interactions, vol 2. Blackie & Sons, London
3. Blatt JM (1964). Theory of superconductivity. Academic Press, London
4. Fröhlich H (1966). Macroscopic wave functions in superconductors. Proc Phys Soc 87: 330–33210.1088/0370-1328/87/1/137 ↗
5. Goldstein H (1980). Classical mechanics, 12th edn. Addison-Wesley, Reading Mass
6. Gurtin ME (2000). Configurational forces as basic concepts of continuum physics. Springer Verlag, New York
7. Jackson JD (1962). Classical electrodynamics. J Wiley & Sons, New York
8. Jackson JD (2002). From Lorenz to Coulomb and other explicit gauge transformations. Am J Phys 70(9): 917–92810.1119/1.1491265 ↗
9. Jones W, March NH (1973) Theoretical solid state physics, vol 2. Wiley-Interscience, Wiley and Sons Ltd., New York. [(1985) unabridged re-publication by Dover Publications Inc., New York]
10. Kienzler R and Herrmann G (2000). Mechanics in material space. Springer-Verlag, Berlin10.1007/978-3-642-57010-0 ↗
11. Kittel C (1986). Introduction to solid state physics, 6th edn. John Wiley & Sons, New York
12. Landau L and Lifschitz E (1974). Méchanique quantique, 3rd edn. MIR, Moscou
13. Laue von M (1952). Theory of superconductivity. Academic Press, New York
14. London F (1950). Superfluids: macroscopic theory of superconductivity, vol 1. Wiley, New York
15. Maugin GA (1992). Irreversible thermodynamics of deformable superconductors. CR Acad Sci Paris t 314 Série II: 889–894
16. Maugin GA (1993). Material inhomogeneities in elasticity series applied mathematics and mathematical computation, vol 3. Chapman and Hall, London
17. Maugin GA and Trimarco C (1991). Pseudomomentum and material forces in electromagnetic solids. Int J Electromagnet Mater 2: 207–216
18. Maugin GA and Trimarco C (1992a). Note on a mixed variational principle in finite elasticity. Rend Mat Acc Naz dei Lincei, Serie IX, v. III: 69–74
19. Maugin GA and Trimarco C (1992b). Pseudomomentum and material forces in nonlinear elasticity. Acta Mechanica 94: 1–2810.1007/BF01177002 ↗
20. Maugin GA, Trimarco C (2001) Elements of field theory in inhomogeneous and defective materials. Configurational mechanics of materials, CISM courses and lectures, n. 427. Springer Verlag, Wien, pp 55–128
21. Nelson DF (1979). Electric, optic and acoustic interactions in dielectrics. John Wiley, New York
22. Schoeller H and Thellung A (1992). Lagrangian formalism and conservation law for electrodynamics in nonlinear elastic dielectrics. Ann Phys 220: 18–3910.1016/0003-4916(92)90324-F ↗
23. Trimarco C (2001). A Lagrangian approach to electromagnetic bodies. Technische Mechanik 22(3): 175–180
24. Trimarco C (2005a) On the material energy–momentum tensor in electrostatics and in magnetostatics.In: Steinman P, Maugin GA (eds) Advances in mechanics and mathematics, 11, mechanics of material forces. Springer New York, Cptr 16, 161–17110.1007/0-387-26261-X_16 ↗
25. Trimarco C (2005b). The total kinetic energy of an electromagnetic body. Phil Mag 85(33–35): 4277–428710.1080/14786430500363817 ↗
26. Trimarco C (2007a) Material electromagnetic fields and material forces. Arch Appl Mech 77:177–184 [Online http://maecourses.ucsd.edu/symi/other-papers.html]10.1007/s00419-006-0056-2 ↗
27. Trimarco C (2007b). Configurational forces in dynamics and electrodynamics. Proc Estonian Acad Phys Math 56(2): 116–125
28. Trimarco C, Maugin GA (2001) Material mechanics of electromagnetic bodies. Configurational mechanics of materials, CISM courses and lectures, n. 427, Springer Verlag, Wien, pp 129–172
29. Truesdell CA, Noll W (1965) The nonlinear field theory of mechanics. Handbuch der Physik, Bd.III/3, S. Flügge(ed). Springer Verlag, Berlin10.1007/978-3-642-46015-9_1 ↗