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References
Rivlin, R.S., Large elastic deformations of isotropic materials IV. Further developments of the general theory. Phil. Trans. Roy. Soc. London [A] 241, 379 (1948).
Ericksen, J.L., Deformations possible in every isotropic, incompressible, perfectly elastic body. Z. angew. Math. Phys. 5, 466 (1954).
Truesdell, C., & W. Noll, The Non-Linear Field Theories of Mechanics. Handbuch der Physik, III/3, S. Flügge, ed. Berlin-Heidelberg-New York: Springer 1965.
Singh, M., & A.C. Pipkin, Note on Ericksen's problem. Z. angew. Math. Phys. 16, 706 (1965).
Singh, M., & A.C. Pipkin, Controllable states of elastic dielectrics. Arch. Rational Mech. Anal. 21, 169 (1966).
Fosdick, R.L., Remarks on Compatibility. Modern Developments in the Mechanics of Continua, S. Eskinazi, ed. New-York: Academic Press 1966.
Klingbeil, W.W., & R.T. Shield, On a class of solutions in plane finite elasticity. Z. angew. Math. Phys. 17, 489 (1966);
Gurtin, M.E., Thermodynamics and the possibility of spatial interaction in elastic materials. Arch. Rational Mech. Anal. 19, 339 (1965).
Coleman, B.D., & V.J. Mizel, Existence of caloric equations of state in thermodynamics. J. Chem. Phys. 40, 1116 (1964).
Pipkin, A.C., & R.S. Rivlin, The formulation of constitutive equations in continuum physics. Div. Appl. Math. Brown Univ. Report DA-4531/4 (1958) [A.C. Pipkin, Brown Univ. Ph. D. Thesis, Univ. Microfilms, Ann Arbor, Michigan (1959)].
Petroski, H.J., & D.E. Carlson, Controllable states of rigid heat conductors. Z. angew. Math. Phys. 19, 372 (1968).
Ericksen, J.L., Deformations possible in every compressible, isotropic, perfectly elastic material. J. Math. Phys. XXXIV, 126 (1955).
Singh, M., Controllable states in compressible elastic dielectrics. Z. angew. Math. Phys. 17, 449 (1966).
Rivlin, R.S., & D.W. Saunders, Large elastic deformations of isotropic materials. VII. Experiments on the deformation of rubber. Phil. Trans. Roy. Soc. London [A] 243, 251 (1951).
Coleman, B.D., & W. Noll, The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal. 13, 167 (1963).
Gurtin, M.E., & W.O. Williams, An axiomatic foundation for continuum thermodynamics. Arch. Rational Mech. Anal. 26, 83 (1967).
Coleman, B.D., & V.J. Mizel, Thermodynamics and departures from Fourier's law of heat conduction. Arch. Rational Mech. Anal. 13, 245 (1963).
Coleman, B.D., & M.E. Gurtin, Equipresence and constitutive equations for rigid heat conductors. Z. angew. Math. Phys. 18, 199 (1967).
Noll, W., A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal. 2, 197 (1958).
Hayes, M., N. Laws, & R.B. Osborn, Universal static deformation and temperature fields for homogeneous, isotropic thermoelastic bodies. Private communication (1968).
Hamel, G., Potentialströmungen mit konstanter Geschwindigkeit. Sitzgsber. preuss. Akad. Wiss., phys-math. Kl. 1937, 5.
Prim, R.C., Steady rotational flow of ideal gases. J. Rational Mech. Anal. 1, 425 (1952).
Cosserat, E. & Cosserat, F., Sur la théorie de l'élasticité. Ann. Toulouse 10, 1 (1896).
Petroski, H. J., Controllable states of elastic heat conductors. Ph. D. Thesis, University of Illinois (1968).
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Communicated by J. L. Ericksen
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Petroski, H.J., Carlson, D.E. Controllable states of elastic heat conductors. Arch. Rational Mech. Anal. 31, 127–150 (1968). https://doi.org/10.1007/BF00281374
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DOI: https://doi.org/10.1007/BF00281374