Thermal shock stresses due to heat convection at a bounding surface in a thick orthotropic cylindrical shell

A closed form elastodynamic solution for the thermal shock stresses due to heat transfer into/from a medium (e.g. fluid) at a constant temperature in a thick orthotropic cylindrical shell is developed. Temperature distribution varies with time and space throughout the shell thickness. The mathematical formulation is done by the three-dimensional linear dynamic elasticity approach and the use of appropriate integral transforms such as the finite Hankel transform and the Laplace transform. No restrictions are imposed regarding the shell thickness in the formulation. The present case, which is more practical and general, is an extension of the case of uniform heating previously studied by the authors. Numerical results show the role of the stress wave propagation and reflection in conjunction with the thermal and material orthotropy. These have a significant influence on the dynamic thermal shock stresses through the shell thickness. Results present the complete dynamic response of thermal shock stresses using realistic inertia parameters and material properties in a thick orthotropic cylindrical shell made out of glass/epoxy.