Some Important Aspects on Thermal Buckling of Functionally Graded Cylindrical Shells on Elastic Foundation

Some Important Aspects on Thermal Buckling of Functionally Graded Cylindrical Shells on Elastic Foundation

The first order shear deformation theory is developed to study some important aspects on thermal buckling of functionally graded circular cylindrical shells on elastic foundation. To model the elastic foundation, the Winkler and Pasternak foundations are used. This type of foundation reacts in compression as well as in tension. The functionally graded shell varies countinuously in the thickness direction and is assumed to be under two types of thermal loading as unifrom temperature rise and linear temperature rise. The stability equations are established via the energy method. The resulting buckling equation is optimized for half-wave numbers to obtain the critical temperatures for each thermal loading. The effects of elastic coefficients and functionally graded index on critical temperatures are discussed carefully. The results show that the Pasternak foundation coefficient has played a significant role in increasing the critical temperatures in functionally graded shells.