HAL Id: hal-00930219
https://hal.archives-ouvertes.fr/hal-00930219
Submitted on 16 Jan 2014
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
The Elastic Dielectric
Richard Toupin
To cite this version:
Richard Toupin. The Elastic Dielectric. Journal of Rational Mechanics and Analysis, 1956, 5 (6), pp.849-915. �hal-00930219�
[1] F. E. NEUMANN, Die Gesetze der Doppelbrechung des Lichts in comprirnierten oder un- gleichformig erwiirmten unkrystallinischen Korpern, Abh. Akad. Wissenschaften Berlin, Part II, 1-254 (1841).
[2] E. G. COKER & L. N. G. FILON, Photoelasticity, Cambridge Univ. Press, London (1931).
[3J F. POCKELS, Ueber den Einfluss elastischer Deformationen speciell einseitigen Druckes, auf das op1ische Verhalten krystallinischer Korper, Ann. d. Phys., 37, 144-172 (1889).
[4] W. VOIGT, Lehrbuch der Kristallphysik, Teubner, Leipzig, 1st ed. (1910).
[5J W. G. CADY, Piezoelectricity, McGraw-Hill, London (1946).
[6] W. P. MASON, Optical Properties and the Electro-optic and Photoelastic Effects in Crystals Expressed in Tensor Form, Bell System Tech. J., 29, 161-188 (1950).
[7] J. C. MAXWELL, A treatise on Electricity and Magnetism, two volumes, Oxford, 3rd ed.
(1892).
[8J J. LARMOR, On the theory of electrodynamics as affected by the nature of the mechanical
stresses in excited dielectrics, Proc. Roy. Soc. 52, 55-66 (1892) = Math. and Phys.
Papers 1, pp. 274-287.
[9] H. A. LORENTZ, The Theory of Electrons, Teubner, Leipzig (1906).
[10] M. BORN & K. HUANG, Dynamical Theory of Crystal Lattices, Oxford (1954).
[11] W. F. BROWN, Electric and magnetic forces: A direct calculation I, Am. J. Phys. 19,290-304
(1951).
[12] C. TRUESDELL, The Mechanical Foundations of Elasticity and Fluid Dynamics, J. Rational Mech. and Anal. 1, 125-300 (1952).
[13] F. D. MURNAGHAN, Finite Deformations of an Elastic Solid, John Wiley and Sons, New York (1951).
[14] A. D. MICHAL, Functionals of r-dimensional manifolds admitiing continuous groups of point transformations, Trans. Am. Math. Soc. 29, 612-646 (1927).
[15] T. C. DOYLE & J. L. ERICKSEN, Nonlinear Elasticity, Advances in Applied Mechanics 4 (1956).
[16J O. D. KELLOGG, Foundations of Potential Theory, Springer, Bprlin (1926).
[17] A. L. CAUCHY, M emoire sur les systemes isotropes de points materiels, Mem. Acad. Sci.
XXII, 615 (1850) = Oeuvres (1)2, 351.
[18] H. WEYL, The Classical Groups, Princeton University Press (1946).
[19] R. WEITZENBOCK, Invariantentheorie, P. Noordhoff, Groningen (1923).
[20] T. CHAUNDY, The Differential Calculus, Clarendon Press, Oxford, Ch. XI, p. 294 (1935).
[21] A. E. H. LOVE, A Treatise on the Mathematical 7'heory of Elasticity, 4th Ed., Cambridge Univ. Press (1927).
[22] J. A. STRATTON, Electromagnetic Theory, McGraw-Hill, New York (1941).
[23] G. RACAH, Deierminazione del numero dei tensori isotropi indipendinti di Tango n, Rend.
Lincei (6) 17, 386-389 (1933).
[24] BHAGAVANTAM, S. Proc. Indian Acad. Sci. 16,359 (1942).
915
