Torsion of a functionally graded cylinder

AIAA Journal

Volumn 44, Issue 6, 2006, Pages 1363-1365

  Batra, R C ^a,b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b Department of Engineering Science and Mechanics ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAUCHY STRESS TENSORS; CIRCULAR CYLINDRICAL BARS; INFINITESIMAL STRAIN TENSORS; LINEAR ELASTIC MATERIALS;

COMPRESSIVE STRENGTH; ELASTIC MODULI; OPTIMIZATION; STRESS ANALYSIS; STRUCTURAL ANALYSIS; TENSORS; TORSIONAL STRESS;

CYLINDERS (SHAPES);

EID: 33746370684     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.19555     Document Type: Article

References (19)

1. Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow, 1981.
2. Truesdell, C. A., and Noll, W., "The Nonlinear Field Theories of Mechanics," Handbuch der Physik, edited by S. Flügge, III/3, Springer, Berlin, 1965.
3. Green, A. E., and Zerna, W., Theoretical Elasticity, 2nd ed., Oxford Univ. Press, London, 1968.
4. Batra, R. C., "Finite Plane Strain Deformations of Rubberlike Materials," International Journal for Numerical Methods in Engineering, Vol. 15, 1980, pp. 145-160.
5. Yamanouchi, M., Koizumi, M., Hirai, T., and Shiota, I., Proceedings of the International Symposium on Functionally Gradient Materials, Sendai, Japan, 1990.
6. Batra, R. C., and Love, B. M., "Adiabatic Shear Bands in Functionally Graded Materials," Journal of Thermal Stresses, Vol. 27, No. 12, 2004, pp. 1101-1123.
7. Qian, L. F., and Batra, R. C., "Design of Bidirectional Functionally Graded Plate for Optimal Natural Frequencies," Journal of Sound and Vibration, Vol. 280, No. 1-2, 2005, pp. 415-424.
8. Batra, R. C., and Jin, J., "Natural Frequencies of a Functionally Graded Rectangular Plate," Journal of Sound and Vibration, Vol. 282, No. 1-2, 2005, pp. 509-516.
9. Rooney, F. J., and Ferrari, M., "Torsion and Flexure of Inhomogeneous Elements," Composites Engineering, Vol. 5, No. 5, 1995, pp. 901-911.
10. Morgan, C. O., and Chan, A. M., "Torsion of Functionally Graded Isotropic Linear Elastic Bars," Journal of Elasticity, Vol. 52, No. 2, 1999, pp. 181-199.
11. Vel, S. S., and Batra, R. C., "Exact Solutions for Thermoelastic Deformations of Functionally Graded Thick Rectangular Plates," AIAA Journal, Vol. 40, No. 7, 2002, pp. 1421-1433.
12. Vel, S. S., and Batra, R. C., "Three-Dimensional Analysis of Transient Thermal Stresses in Functionally Graded Plates," International Journal of Solids and Structures, Vol. 40, No. 25, 2003, pp. 7181-7196.
13. Qian, L. F., and Batra, R. C., "Three-Dimensional Transient Heat Conduction in a Functionally Graded Thick Plate with a Higher-Order Plate Theory and a Meshless Local Petrov-Galerkin Method," Computational Mechanics, Vol. 35, No. 3, 2005, pp. 214-226.
14. Qian, L. F., and Batra, R. C., "Transient Thermoelastic Deformations of a Thick Functionally Graded Plate," Journal of Thermal Stresses, Vol. 27, No. 8, 2004, pp. 705-740.
15. Batra, R. C., and Vidoli, S., "Higher Order Piezoelectric Plate Theory Derived from a Three-Dimensional Variational Principle," AIAA Journal, Vol. 40, No. 1, 2002, pp. 91-104.
16. Cheng, Z.-Q., and Batra, R. C., "Three-Dimensional Thermoelastic Deformations of a Functionally Graded Elliptic Plate," Composites B, Vol. 31, No. 2, 2000, pp. 97-106.
17. Cheng, Z.-Q., and Batra, R. C., "Deflection Relationships Between the Homogeneous Plate Theory and Different Functionally Graded Plate Theories," A rchives of Mechanics, Vol. 52, No. 1, 2000, pp. 143-158.
18. Cheng, Z.-Q., and Batra, R. C., "Exact Correspondence Between Eigenvalues of Membranes and Functionally Graded Simply Supported Polygonal Plates," Journal of Sound and Vibration, Vol. 229, No. 4, 2000, pp. 879-895.
19. Batra, R. C., Elements of Continuum Mechanics, AIAA, Reston, VA, 2005.