MATHEMATICAL MODEL FOR THERMOELASTIC POROUS SPHERICAL REGION PROBLEMS
Eman M. Hussein
Abstract
This study investigates the thermal stresses and temperatures during a porous spherical region hydrous with liquid. The general solution is obtained within the Laplace transform domain. The resulting formulation is used to resolve two issues for a solid sphere and a thick spherical shell. The impact of time on a solid sphere and the impact of porosity on a thick spherical shell are analyzed through graphs. A comparison is formed with a solid sphere with identical configuration within absence of the fluid. It was found that the existence of fluid decreased the temperature and displacement, whereas the opposite behavior is observed for stress.
Topics & Concepts
Thermoelastic dampingSpherical shellPorosityMaterials scienceLaplace transformThermalMechanicsSpherical modelDisplacement (psychology)Shell (structure)Domain (mathematical analysis)Porous mediumSpherical geometryComposite materialThermodynamicsGeometryMathematical analysisMathematicsPhysicsCondensed matter physicsPsychotherapistPsychologyContact Mechanics and Variational InequalitiesElasticity and Wave PropagationElasticity and Material Modeling