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On the minimum principle for dipolar materials with stretch. (English) Zbl 1160.74002
Summary: We generalize the results obtained by {\it D. Ieşan} and {\it R. Quintanilla} [Int. J. Eng. Sci. 32, No. 6, 991--1001 (1994; Zbl 0924.73202)] for microstretched elastic bodies in order to cover dipolar elastic materials with stretch. For the boundary value problem considered in this context, we prove a generalized existence result and also an extension of the principle of minimum potential energy.

74A35Polar materials
74G65Energy minimization (equilibrium problems in solid mechanics)
Full Text: DOI
[1] Eringen, A. C.; Kadafar, C. B.: Continuum physics. 4 (1976)
[2] Eringen, A. C.; Suhubi, E. S.: Int. J. Engrg. sci.. 2, 389 (1964)
[3] Eringen, A. C.: Int. J. Engrg. sci.. 28, 1291 (1990)
[4] Iesan, D.; Quintanilla, R.: Int. J. Engrg. sci.. 6, 991 (1994)
[5] Marin, M.: C. R. Acad. sci. Paris. 321, Serie II b, 475 (1995)
[6] Marin, M.: J. comput. Appl. math.. 82, 291 (1997)