Journal of Thermal Stresses · 2001 · 10 citations · 9 references
EngineeringMechanical EngineeringPhysicsComputational Heat TransferComputational MechanicsHeat TransferBoundary ConditionsBoundary-value ProblemsComputational Solid MechanicsFracture MechanicsGreen's FunctionsHeat Transfer AnalysisBoundary ProblemCauchy EquationCauchy Integral FormulaCauchy Integral TheoremElliptic FunctionsElliptic Green's FunctionsGreen's Functions For Partial Differential EquationsMixed Boundary Value Problems
This article derives the Green's function for a thermomechanical mixed boundary value problem of an infinite plane with an elliptic hole under a pair of heat source and sink. To derive the Green's function in closed form, the Cauchy integral method and a basic Green's function for an external force boundary value problem with a pair of heat source and sink are employed. Illustrative numerical results for temperature, heat flux, and stress along the hole edge and stress intensity factors when the hole collapses into a crack are presented graphically.
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