THE CORRECTION OF THE STRESSES NEAR THE BOTTOM OF THICK-WALLED CYLINDER OF FINITE LENGTH SOLVED BY THE KANTOROVICH STRESS VARIATION METHOD

In this paper, the bottom stress deviations are highlighted about the axisymmetric solution of the thick-walled cylinder of finite length by the Kantorovich stress variation method. A problem about the inverse bottom effect is proposed to eliminate these deviations. Through a simple manipulation, the stress expressions are presented and the differential equilibrium equations and all stress boundary conditions are satisfied. The solutions for these stresses are obtained by the stress variation method. Numerical results show that the stress deviations near the bottom of the cylinder are corrected satisfactorily well by the present method.