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Wineman, A.; Pipkin, A.

Material symmetry restrictions on constitutive equations. (English) Zbl 0126.40604

Arch. Ration. Mech. Anal. 17, 184-214 (1964).
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Cited in 45 Documents

Keywords:

mechanics of solids
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[1] Pipkin, A. C., & A. S. Wineman, Material symmetry restrictions on non-polynomial constitutive equations. Arch. Rational Mech. Anal. 12, 420 (1963). · Zbl 0112.16802 · doi:10.1007/BF00281238
[2] Pipkin, A. C., & R. S. Rivlin, The formulation of constitutive equations in continuum physics. Arch. Rational Mech. Anal. 4, 129 (1959). · Zbl 0092.40402 · doi:10.1007/BF00281382
[3] Adkins, J. E., Non-linear diffusion. Phil. Trans. Roy. Soc. London A 255, 607 (1963). · Zbl 0124.41801 · doi:10.1098/rsta.1963.0013
[4] Green, A. E., & R. S. Rivlin, The mechanics of non-linear materials with memory. Arch. Rational Mech. Anal, 1, 1 (1957). · Zbl 0079.17602 · doi:10.1007/BF00297992
[5] Pipkin, A. C., & R. S. Rivlin, Electrical conduction in deformed isotropic materials. J. Math. Phys. 1, 127 (1960). · Zbl 0094.22604 · doi:10.1063/1.1703642
[6] Pipkin, A. C., & R. S. Rivlin, Galvanomagnetic and thermomagnetic effects in isotropic materials. J. Math. Phys. 1, 542 (1960). · Zbl 0094.22604 · doi:10.1063/1.1703691
[7] Smith, G. F., On the yield condition for anisotropic materials. Quart. App. Math. 20, 241 (1962). · Zbl 0127.39903 · doi:10.1090/qam/151046
[8] Smith, G. F., & R. S. Rivlin, The strain-energy function for anisotropic elastic materials. Trans. Amer. Math. Soc. 88, 175 (1958). · Zbl 0089.23505 · doi:10.1090/S0002-9947-1958-0095618-2
[9] Toupin, R. A., & R. S. Rivlin, Electro-magneto-optical effects. Arch. Rational Mech. Anal. 7, 434 (1961). · Zbl 0118.43601 · doi:10.1007/BF00250774
[10] Smith, G. F., M. M. Smith, & R. S. Rivlin, Integrity bases for a symmetric tensor and a vector – The crystal classes. Arch. Rational Mech. Anal. 12, 93 (1963). · Zbl 0125.00802 · doi:10.1007/BF00281221
[11] Smith, G. F., & R. S. Rivlin, Integrity bases for vectors – The crystal classes. Arch. Rational Mech. Anal. 15, 169 (1964). · Zbl 0133.26305 · doi:10.1007/BF00275631
[12] Adkins, J. E., Symmetry relations for orthotropic and transversely isotropic materials. Arch. Rational Mech. Anal. 4, 193 (1960). · Zbl 0092.41001 · doi:10.1007/BF00281387
[13] Adkins, J. E., Further symmetry relations for transversely isotropic materials. Arch. Rational Mech. Anal. 5, 263 (1960). · Zbl 0093.38601 · doi:10.1007/BF00252908
[14] Spencer, A. J. M., & R. S. Rivlin, Finite integrity bases for five or fewer symmetric 3x3 matrices. Arch. Rational Mech. Anal. 2, 435 (1959). · Zbl 0095.25102 · doi:10.1007/BF00277941
[15] Spencer, A. J. M., & R. S. Rivlin, Further results in the theory of matrix polynomials. Arch. Rational Mech. Anal. 4, 214 (1960). · Zbl 0095.25103 · doi:10.1007/BF00281388
[16] Spencer, A. J. M., The invariants of six symmetric 3x3 matrices. Arch. Rational Mech. Anal. 7, 64 (1961). · Zbl 0093.01704 · doi:10.1007/BF00250750
[17] Rivlin, R. S., Research Frontiers in Fluid Dynamics (Edited by G. Temple & R. J. Seeger). New York: Interscience Pub. Co. Inc. (Forthcoming.)
[18] Spencer, A. J. M., & R. S. Rivlin, Isotropic integrity bases for vectors and second-order tensors. Arch. Rational Mech. Anal. 9, 45 (1962). · Zbl 0118.25803 · doi:10.1007/BF00253332
[19] Wigner, E. P., Group Theory. New York: Academic Press, Inc. 1959.
[20] Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197 (1958). · Zbl 0083.39303 · doi:10.1007/BF00277929
[21] Rivlin, R. S., Constitutive equations involving functional dependence of one vector on another. ZAMP 12, 447 (1961). · Zbl 0117.17903 · doi:10.1007/BF01600691
[22] Weyl, H., The Classical Groups. Princeton 1946. · Zbl 1024.20502
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