Consider a pressure vessel as shown in the figure. The cylinder has a longitudinal axis of rotational symmetry and is also symmetric with respect to a plane passing through it at mid-height. Due to symmetry, use a quarter of the solid model as shown in the figure for the analysis. Use 8-node 3D element in ABAQUS.

Take E = 207 GPa, v =0.3, Ρ =7.8x10³ kg/m³; Coefficient of thermal expansion = 1.2×10^-5 K^-1; Thermal conductivity = 60 W/m/K.

1. The cylinder is subjected to an internal pressure of 34 MPa. Use fine mesh at the fillet and perform the convergence study. Plot the stress and strain distribution, and find the maximum von-Mises stress and its location.

2. The inner surface of the cylinder is kept at 373.15 K, and the heat is lost on the exterior by convection to the ambient. The convection coefficient is 179 W/m²/K and the sink temperature is 293.15 K. Plot the temperature distribution, von-Mises stress and strain distributions.

3. Consider both mechanical and thermal loadings (cases 1 and 2). Plot the von-Mises stress and strain distributions, and find out the maximum von-Mises stress and location.