THERMAL PROBLEMS WITH RADIATION BOUNDARY CONDITIONS

摘要: SUMMARY Contact or crack problems in thermoelastic ity are usually analysed with the idealised boundary conditions of perfect conduction insulation. These conditions, while simplifying mathematics, sometimes lead to unrealistic, singular fields. This paper formulates axisymmetric static thermal for a half-space when one condition corresponds partial insulation, either inside outside circle r = a, z 0. Four important cases considered and reduced solution integro-diffe rential equations Abel type. In each case it is shown that equation can be solved by using two simultaneous Fourier expansions unknown function.