Journal of Thermal Stresses · 2002 · 14 citations · 9 references
EngineeringMechanical EngineeringComputational Heat TransferHeat TransferThermodynamicsBoundary ConditionsBoundary-value ProblemsGreen's FunctionsHeat Transfer AnalysisThermal StressesThermoelasticityBoundary Conditions In Heat ConductionGreen's Function Representation FormulaGreen's Functions For Partial Differential EquationsHeat Transfer Boundary ConditionsMixed Boundary Value ProblemsThermoelastic Boundary Value ProblemsThermoelastic Green's Functions
With an emphasis on derivation, this paper reviews Green's functions for a point heat source in various thermoelastic boundary value problems for an infinite plane with an inhomogeneity. The inhomogeneity boundary conditions considered are external force, displacement, and mixed boundaries. The derivation is accomplished with three kinds of function for mapping, temperature, and stress. Stress functions for different boundary value problems are presented, and stress distributions along the inhomogeneity boundary are plotted in figures.
9