Elastic-Plastic and Residual Stress Analysis of an Aluminum Metal-Matrix Composite Disk under Internal Pressures

Abstract

This paper deals with the elastic-plastic stress analysis of a thin aluminum metal-matrix composite disk under internal pressure. An analytical solution is performed for satisfying the elastic-plastic stress-strain relations and boundary conditions for small plastic deformations. The Tsai-Hill Criterion is used as a yield criterion, and an elastic-perfectly-plastic material is assumed. Elastic-plastic and residual stress distributions are obtained from inner radius to outer radius, and they are presented in the tables and figures. All radial stresses, σ_r, are compressive, and they are highest where the plastic deformation begins. All tangential stresses, σ_θ, are tensile, and they are highest at the inner radius. Magnitude of the tangential residual stresses is higher than that of the radial residual stresses, and it is changing from negative sign to positive.

Keywords

elastic-plastic stress analysis composite disk residual stresses

Get full access to this article

View all access options for this article.

References

Gamer, U. (1986). The Rotating Elastic-plastic Shrink Fit with Hardening , Acta Mech., 61: 15-27 .

Gamer, U. (1987). The Shrink Fit with Elastic Plastic Hub Exhibiting Constant Yield Stress Followed by Hardening , Int. J. Solids Struct., 23: 1219-1224 .

Güven, U. (1988). Stress Distribution in a Linear Hardening Annular Disk of Variable Thickness Subjected to External Pressure , Int. J. Mech. Sci., 40(6): 585-601 .

Güven, U. (1992). Elastic-plastic Annular Disk with Variable Thickness Subjected to External Pressure , Acta Mechanica, 92: 29-34 .

Jahed, H. and Shirazi, R. (2001). Loading and Unloading Behaviour of a Thermoplastic Disc , Int. J. of Pressure Vessels and Piping, 78: 637-645 .

Jahed, H. and Sherkati, S. Thermoplastic Analysis of Inhomogeneous Rotating Disc with Variable Thickness , In: Proceeding of the EMAS Conference of Fatigue, Cambridge, England, April (2000).

Yeh, Kai-Yuan and Han, R.P.S. (1994). Analysis of High-speed Rotating Disks with Variable Thickness and Inhomogeneity , J. Appl. Mech., 61: 186-191 .

DeTeresa, S.J. , Freeman, D.C. and Groves, S.E. (2004). The Effects of Through-Thickness Compression on the Interlaminar Shear Response of Laminated Fiber Composites , J. Comp. Mater., 38: 681-697 .

Rossit, C.A. and Laura, P.A. (2000). Unsteady Thermoelastic Analysis of a Circular Disc with a Hot Central Core and Subjected to Adiabatic Conditions , Ocean Engineering, 27(4): 385-391 .

10.

Genta, G. and Gola, M. (1981). The Stress Distribution in Orthotropic Rotating Discs , Journal of Applied Mechanics, 48: 559-562 .

11.

Bektaş, N.B. (2003). Thermal Elastic-Plastic Stress Analysis of Symmetric Aluminum Metal-Matrix Composite Laminated Plates and Residual Stresses Under Thermal Loads Varying Linearly , Journal of Reinforced Plastics and Composites, 22(18): 1689-1704 .

12.

Bektaş, N.B. and Sayman, O. (2001). Elasto-Plastic Stress Analysis in Simply Supported Thermoplastic Laminated Plates under Thermal Loads , Composites Science and Technology, 61: 1695-1701 .

13.

Timoshenko, S.P. and Goodier, J.N. (1970). Theory of Elasticity, pp. 65-95, McGraw-Hill, Singapore .

14.

Mendelson, A. (1968). Plasticity: Theory and Application, pp. 70-97, The Macmillan Company, New York.

15.

Owen, D.R.J. and Hinton, E. (1980). Finite Elements in Plasticity, pp. 215-269, Pineridge Press Limited, Swansea, U.K .