Effect of convex nonlinear mechanical loading and two-dimensional thermal loading on stresses of thick cylindrical shells

This study investigates the stress distribution in thick cylindrical shells made of homogeneous material, subjected to non-uniform pressure and a two-dimensional temperature field, with particular focus on convex mechanical loading and the thermal loading effects. The problem is defined as determining the interaction of mechanical and thermal loads on stress and displacement patterns within the shell. Assumptions include a homogeneous material model and governing equations derived using first-order shear deformation theory (FSDT) and first-order thermal theory (FTT), which account for the effects of axial shear stresses caused by pressure and complex gradients induced by the two-dimensional temperature field. The multi-layers method (MLM) is employed to solve the equations, ensuring proper application of boundary and continuity conditions. Results demonstrate the significant influence of both convex mechanical loading and the two-dimensional thermal field on radial and axial stresses and displacements. The findings are presented graphically, illustrating the stress and displacement variations across the mid-thickness layer, offering a comprehensive understanding of the shell's behavior under combined loading conditions.

کلیدواژه ها:

two-dimensional temperature field ، thick cylindrical shells ، first-order shear deformation theory (FSDT) ، multi-layers method (MLM) ، convex loading