In this paper, we consider the linear theory of anisotropic microstretch elastic solids and study the problem of extension, bending, and torsion of right cylinders with general cross-sections. The problem is solved in terms of solutions of four generalized plane strain problems.
Get full access to this article
View all access options for this article.
References
1.
[1] Eringen, A. C.: Micropolar elastic solids with stretch, in Prof.Dr. Mustafa Inan Anisina, pp. 1-18, ed., Ari Kitaberi Matbassi, Istanbul, 1971.
2.
[2] Eringen, A. C.: Theory of thermo microstretch elastic solids. Int. J. Engng. Sci., 28, 1291-1301 (1990).
3.
[3] ledans D. and Pompei, A.: On the equilibrium theory of microstretch elastic solids. Int. J. Engng. Sci., 33, 399-410 (1995).
4.
[4] Batra, R. C. and Yang, J. S.: Saint-W-nant's principle for linear elastic porous materials. J. Elasticity39, 265-271 (1995).
5.
[5] Dell'Isola, F. and Batra, R. C.: Saint-Venant's problem for porous linear elastic materials. J. Elasticity, 47, 73-81 (1971).
6.
[6] Iesan, D. and Nappa, L.: Saint-Venant's problem for microstretch elastic solids. Int. J. Engng. Sci., 32, 229-236 (1994).
7.
[7] De Cicco, S. and Nappa, L.: Torsion andflexure of microstretch elastic circular cylinders. Int. J. Engng. Sci., 35, 573-583 (1997).
8.
[8] Iesan, D. and Nappa, L.: Extension and bending of microstretch elastic circular cylinders. Int. J. Engng. Sci., 33, 1139-1151 (1995).
9.
[9] Cheverton, K. J. and Beatty, M. E.: Extension, torsion and expansion of an incompressible hemitropic Cosserat circular cylinder. J. Elasticity, 11, 207-227 (1981).
10.
[10] Lakes, R. S. and Benedict, R. L.: Noncentrosymmetry in micropolar elasticity. Int. J. Engng. Sci., 20, 1161-1167 (1982).
11.
[11] Iesan, D.: Saint-Venant's problem, in Lecture Notes in Mathematics, Vol. 1279, Springer, Berlin, 1987.
12.
[12] Fichera, G.: Existence theorems in elasticity, in Handbuch der Physik, vol. VIa/2, ed., S. Flgge, Springer, Berlin, 1972.
13.
[13] Iedan, D.: Saint-Venant's problem for inhomogeneous and anisotropic elastic bodies. J. Elasticity, 6, 277-294 (1976).
14.
[14] Brulin, O., Fischer-Hjalmars, I., and Hjalmars, S.: Continuum equations derived from an orthotropic polar model of the microstructure. J. Techn. Phys., 29, 19-27 (1988).
