Torsional analysis of micropolar elasticity using the finite element method. (English) Zbl 0788.73067
Summary: Based on Eringen’s micropolar elasticity theory (MET) and Smith’s displacement assumption, a finite element formulation is derived and a computer program is developed to solve the micropolar torsion problems. The numerical results are first obtained for a solid cylinder, and shown to be in excellent agreement with existing MET analytical solution. Next, the new formulation is applied to solve, for the first time, the torsional problems in a hollow cylinder. The effects of coupling factor and radius ratio on the micropolar effects are studied.
References:
| [1] | Eringen, A. C.; Şuhubi, E. S., Int. J. Engng Sci., 2, 189 (1964) · Zbl 0138.21202 |
| [2] | Gauthier, R. D., Analytical and experimental investigations in linear isotropic micropolar elasticity, (Doctoral disertation (1974), University of Colorado) |
| [3] | Smith, A. C., Int. J. Engng Sci., 16, 129 (1978) |
| [4] | Eringen, A. C., (Liebowitz, H., Fracture, Vol. II (1968), Academic Press: Academic Press New York) · Zbl 0193.54701 |
| [5] | Nakamura, S.; Bendic, R.; Lakes, R., Int. J. Engng Sci., 22, 319 (1984) · Zbl 0536.73007 |
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