journal article·2025-05

Fusion of Nonlinear Elasticity with Galilean Electromagnetism

Chi-Sing Man

Journal of Elasticity· Volume 157· Issue 2
Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Geophysics and Sensor Technology · Elasticity and Wave Propagation · Advanced MEMS and NEMS Technologies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (43)

Show source-provided references
1. Artz, R.E.: Classical mechanics in Galilean space-time. Found. Phys. 11, 679–697 (1981)10.1007/BF00726944 ↗
2. Baesu, E., Fortune, D., Soós, E.: Incremental behaviour of hyperelastic dielectrics and piezoelectric crystals. Z. Angew. Math. Phys. 54, 160–178 (2003)10.1007/PL00012630 ↗
3. Bażański, S.: Relativistic mechanics. In: Zorski, H. (ed.) Foundations of Mechanics, Part II, pp. 123–264. Elsevier, Amsterdam (1992)
4. Bhand, A., Lewis, A.D.: Rigid body mechanics in Galilean spacetimes. J. Math. Phys. 46, 102902 (2005)10.1063/1.2060547 ↗
5. Bustamante, R., Dorfmann, A., Ogden, R.W.: On electric body forces and Maxwell stresses in nonlinearly electroelastic solids. Int. J. Eng. Sci. 47, 1131–1141 (2009)10.1016/j.ijengsci.2008.10.010 ↗
6. Castellanos, A. (ed.): Electrohydrodynamics. Springer, Wien (1998)
7. Daniel, H.: Elektrodynamik – Relativistische Physik. de Gruyter, Berlin (1997)10.1515/9783110806014 ↗
8. Davidson, P.A.: An Introduction to Magnetohydrodynamics, 2nd edn. Cambridge University Press, Cambridge (2017)
9. de Montigny, M., Rousseaux, G.: On the electrodynamics of moving bodies at low velocities. Eur. J. Phys. 27, 755–768 (2006)10.1088/0143-0807/27/4/007 ↗
10. de Montigny, M., Rousseaux, G.: On some applications of Galilean electrodynamics of moving bodies. Am. J. Phys. 75, 984–992 (2007)10.1119/1.2772289 ↗
11. Del Piero, G.: A class of fit regions and a universe of shapes for continuum mechanics. J. Elast. 70, 175–195 (2003). Reprinted, in C.-S. Man and R.L. Fosdick (eds.): The Rational Spirit in Modern Continuum Mechanics: Essays and Papers Dedicated to the Memory of Clifford Ambrose Truesdell III, pp. 265–285. Kluwer, Dordrecht (2004)10.1023/B:ELAS.0000005551.92536.c6 ↗
12. Dorfmann, L., Ogden, R.W.: The nonlinear theory of magnetoelasticity and the role of the Maxwell stress: A review. Proc. R. Soc. A 479, 20230592 (2023)10.1098/rspa.2023.0592 ↗
13. Dorfmann, A., Ogden, R.W.: Nonlinear magnetoelasticity. Q. J. Mech. Appl. Math. 57, 599–622 (2004)10.1093/qjmam/57.4.599 ↗
14. Dorfmann, A., Ogden, R.W.: Nonlinear electroelasticity. Acta Mech. 174, 167–183 (2005)10.1007/s00707-004-0202-2 ↗
15. Dorfmann, L., Ogden, R.W.: Nonlinear Theory of Electroelastic and Magnetoelastic Interactions. Springer, New York (2014)10.1007/978-1-4614-9596-3 ↗
16. Fosdick, R., Tang, H.: Electrodynamics and thermomechanics of material bodies. J. Elast. 88, 255–297 (2007)10.1007/s10659-007-9124-2 ↗
17. Fylladitakis, E.D., Theodoridis, M.P., Moronis, A.X.: Review on the history, research, and applications of electrohydrodynamics. IEEE Trans. Plasma Sci. 42, 358–375 (2014)10.1109/TPS.2013.2297173 ↗
18. Goldstein, H.: Classical Mechanics, 2nd edn. Addison-Wesley, Reading (1980)
19. Gurtin, M.E., Fried, E., Anand, L.: The Mechanics and Thermodynamics of Continua. Cambridge University Press, Cambridge (2010)10.1017/CBO9780511762956 ↗
20. Inönü, E., Wigner, E.P.: On the contraction of groups and their representations. Proc. Natl. Acad. Sci. USA 39, 510–524 (1953)10.1073/pnas.39.6.510 ↗
21. Iranshahi, K., Defraeye, T., Rossi, R.M., Müller, U.C.: Electrohydrodynamics and its applications: Recent advances and future perspectives. Int. J. Heat Mass Transf. 232, 125895 (2024)10.1016/j.ijheatmasstransfer.2024.125895 ↗
22. Kovetz, A.: Electromagnetic Theory. Oxford University Press, Oxford (2000)10.1093/oso/9780198506041.001.0001 ↗
23. Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields, 4th revised English edn. Pergamon (Elsevier), Oxford (1987)
24. Le Bellac, M., Lévy-LeBlond, J.-M.: Galilean electromagnetism. Nuovo Cimento B 14, 213–233 (1973)10.1007/BF02895715 ↗
25. Manfredi, G.: Non-relativistic limits of Maxwell’s equations. Eur. J. Phys. 34, 859–871 (2013)10.1088/0143-0807/34/4/859 ↗
26. Maugin, G.A.: Continuum Mechanics of Electromagnetic Solids. North-Holland, Amsterdam (1988)
27. Maugin, G.A., Eringen, A.C.: On the equations of the electrodynamics of deformable bodies of finite extent. J. Méc. 16, 102–147 (1977)
28. Melcher, J.R., Taylor, G.I.: Electrohydrodynamics: A review of the role of interfacial shear stresses. Annu. Rev. Fluid Mech. 1, 111–146 (1969)10.1146/annurev.fl.01.010169.000551 ↗
29. Murdoch, A.I.: Objectivity in classical continuum mechanics: A rationale for discarding the ‘principle of invariance under superposed rigid body motions’ in favour of purely objective considerations. Contin. Mech. Thermodyn. 15, 309–320 (2003)10.1007/s00161-003-0121-9 ↗
30. Noll, W., Virga, E.G.: Fit regions and functions of bounded variation. Arch. Ration. Mech. Anal. 102, 1–21 (1988)10.1007/BF00250921 ↗
31. Rosen, G.: Galilean invariance and the general covariance of nonrelativistic laws. Am. J. Phys. 40, 683–687 (1972)10.1119/1.1986618 ↗
32. Rousseaux, G.: On the electrodynamics of Minkowski at low velocities. Europhys. Lett. 84, 20002 (2008)10.1209/0295-5075/84/20002 ↗
33. Rousseaux, G.: Forty years of Galilean electromagnetism (1973–2013). Eur. Phys. J. Plus 128, 81 (2013)10.1140/epjp/i2013-13081-5 ↗
34. Shercliff, J.A.: A Textbook of Magnetohydrodynamics. Pergamon Press, Oxford (1965)
35. Šilhavý, M.: The Mechanics and Thermodynamics of Continuous Media. Springer, Berlin (1997)10.1007/978-3-662-03389-0 ↗
36. Tiersten, H.A.: Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)
37. Tiersten, H.A.: A Development of the Equations of Electromagnetism in Material Continua. Springer, New York (1990)10.1007/978-1-4613-9679-6 ↗
38. Tiersten, H.A., Tsai, C.F.: On the interactions of the electromagnetic fields with heat conducting deformable insulators. J. Math. Phys. 13, 361–378 (1972)10.1063/1.1665987 ↗
39. Truesdell, C.: A First Course in Rational Continuum Mechanics, vol. 1, 2nd edn. Academic Press, Boston (1991)
40. Tung, W.-K.: Group Theory in Physics. World Scientific, Philadelphia (1985)10.1142/0097 ↗
41. Wang, L., Liu, C., Shen, S., Xu, M., Liu, X.: Low dielectric constant polymers for high speed communication network. Adv. Ind. Eng. Polym. Res. 3, 138–148 (2020)
42. Weyl, H.: Space—Time—Matter, 4th edn. Methuen, London (1922)
43. Woodson, H.H., Melcher, J.R.: Electromechanical Dynamics. Part I: Discrete Systems. Wiley, New York (1968)