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Some qualitative results for the linear theory of thermo-microstretch elastic solids. (English) Zbl 0899.73463
Summary: This paepr is concerned with the linear theory of thermo-microstretch elastic solids. In Section 3 we present a uniqueness theorem for the solutions of this problem. This result covers a larger class of problems than the uniqueness theorem stated by A. C. Eringen (1990). An existence theorem is also presented in Section 4. In Section 5 we study the asymptotic behavior for the solutions of the homogeneous problem.

74A60 Micromechanical theories
74M25 Micromechanics of solids
74B99 Elastic materials
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI
[1] Eringen, A.C., Mechanics of micromorphic materials, (), 131-138 · Zbl 0181.53802
[2] Eringen, A.C., Mechanics of micromorphic continua, (), 18-35 · Zbl 0181.53802
[3] Eringen, A.C.; Suhubi, E.S., Int. J. engng sci., 2, 189, 389, (1964)
[4] Eringen, A.C.; Kafadar, C.B., Polar field theories, ()
[5] Eringen, A.C., Int. J. engng sci., 28, 1291, (1990)
[6] Iesan, D., J. therm. stresses, 14, 389, (1991)
[7] Iesan, D.; Quintanilla, R., Int. J. engng sci., 32, 991, (1994)
[8] Eringen, A.C., Micropolar elastic solids with stretch, (), 1-18 · Zbl 0164.27507
[9] Dafermos, C.M., Contraction semigroups and trend to equilibrium in continuum mechanics, () · Zbl 0345.47032
[10] Ciarlet, P.G., ()
[11] Pazy, A., Semigroups of nonlinear contractions and their asymptotic behavior, (), Pitman Research Notes in Mathematics · Zbl 0377.47045
[12] Adams, R.A., Sobolev spaces, (1975), Academic Press New York · Zbl 0186.19101
[13] Brun, L., J. mecanique, 8, 125, (1969)
[14] Falques, A., Estabilidad asintotica de la termoelasticidad generalizada, ()
[15] F. MARTINEZ and R. QUINTANILLA. Some qualitative results for the linear theory of binary mixtures of thermoelastic solids. Accepted for publication in Collectanea Mathematica. · Zbl 0853.73007
[16] Eringen, A.C., Int. J. math. mech., 15, 909, (1966)
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