Thermal stresses in two-dimensional model of composite elastic material

Zbigniew Wesołowski

Zbigniew Wesołowski Institute of Fundamental Technological Research Polish Academy of Sciences

Abstract

A rectangular specimen consists of two kinds of grains. Each kind has a different thermal expansion coefficient. The grains are randomly distributed in J rows and K colums of the specimen. The temperaturę of the whole specimen is increased and produces internal strains. It is assumed that each grain interacts with its four neighbours. The interaction force is proportional to the relative displacement. If the relative displacement equals the extension due to thermal expansion, the force equals zero. The relaxation method of calculating the equilibrium strains is used. The average maximum strains are calculated for a large number of numerical experiments. The standard deviations are calculated.

Keywords

References

[1] M. Suery, C. Teodosiu and L. Menezes. Thermal residual stresses in particle reinforced visco plastic metal matrix composites. Materials Science Engng. A, 167:97- 105, 1993.
[2] Y.R. Wang and T.W. Chou. 1st-order perturbation analysis of transient interlaminar thermal stress in composites. J. Appl. Mech., 60:560- 563, 1993.
[3] S.D. Gardner, C.U. Pittman and R.M. Hackett. Residual thermal-stresses in filamentary polymer matrix composites containing an elastomeric interphase. J. Camp. Materials; 27:830-860, 1993.
[4] W. Lin and T. Iseki. Effect of thermal residual stress on mechanical properties of SiC/TiC composites. Brot. Ceramic Trans., 91:1- 5, 1992.
[5] N.M. Yeh and E. Krempl. A numerical simulation of the effects of volume fraction, creep and thermal cycling on the behaviour of fibrous metal matrix composites. J. of Composite Materials, 26:900-915, 1992.