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Online ISSN 1552-4485; Print ISSN 0033-569X
Small finite deformations of elastic dielectrics
Author:
Manohar Singh
Journal:
Quart. Appl. Math. 25 (1967), 275-284
DOI:
https://doi.org/10.1090/qam/99897
MathSciNet review:
QAM99897
Full-text PDF Free Access
References | Additional Information
- M. Singh and A. C. Pipkin, Controllable states of elastic dielectrics, Arch. Rational Mech. Anal. 21 (1966), 169–210. MR 191162, DOI https://doi.org/10.1007/BF00253488 M. Singh, ZAMP 17, 449 (1966) F. D. Murnaghan, Amer. J. Math. 59, 235 1937)
- R. S. Rivlin, The solution of problems in second order elasticity theory, J. Rational Mech. Anal. 2 (1953), 53–81. MR 51676, DOI https://doi.org/10.1512/iumj.1953.2.52002
- Richard A. Toupin, The elastic dielectric, J. Rational Mech. Anal. 5 (1956), 849–915. MR 81074, DOI https://doi.org/10.1512/iumj.1956.5.55033
- A. Cemal Eringen, On the foundations of electroelastostatics, Internat. J. Engrg. Sci. 1 (1963), 127–153. MR 0152176, DOI https://doi.org/10.1016/0020-7225%2863%2990028-4 M. Mooney, J. Appl. Phys. 11, 582 (1940)
- R. S. Rivlin, Large elastic deformations of isotropic materials. I. Fundamental concepts, Philos. Trans. Roy. Soc. London Ser. A 240 (1948), 459–490. MR 26533, DOI https://doi.org/10.1098/rsta.1948.0002
- R. A. Toupin, A dynamical theory of elastic dielectrics, Internat. J. Engrg. Sci. 1 (1963), 101–126 (English, with French, German, Italian and Russian summaries). MR 0153286, DOI https://doi.org/10.1016/0020-7225%2863%2990027-2
- R. S. Rivlin, Some topics in finite elasticity, Structural mechanics, Pergamon Press, New York, 1960, pp. 169–198. MR 0114364
- A. C. Pipkin and R. S. Rivlin, The formulation of constitutive equations in continuum physics. I, Arch. Rational Mech. Anal. 4 (1959), 129–144 (1959). MR 110267, DOI https://doi.org/10.1007/BF00281382
- R. S. Rivlin, Large elastic deformations of isotropic materials. VI. Further results in the theory of torsion, shear and flexure, Philos. Trans. Roy. Soc. London Ser. A 242 (1949), 173–195. MR 34680, DOI https://doi.org/10.1098/rsta.1949.0009 M. Singh, and A. C. Pipkin, ZAMP 16, 706 (1965)
Additional Information
Article copyright:
© Copyright 1967
American Mathematical Society