We provide closed-form expressions of displacements, stress and temperature fields produced in an isotropic linearly elastic half-space by a uniform heat flow acting over an arbitrarily shaped region of its boundary. The result is obtained by applying recent results of potential theory which allow one to replace the domain integrals expressing the thermo-mechanical fields by one-dimensional integrals extended to the boundary of the heated region. Algebraic expressions for evaluating the thermo-mechanical fields at an arbitrary point of the half-space are derived solely as a function of the heat flux and of the position vectors which define the boundary of the heated region assumed to be polygonal. Representative numerical examples show the effectiveness of the proposed approach to typical problems in thermo-mechanical contact, with particular reference to the evaluation of the thermal spreading resistance.
Closed-form expressions of the thermo-mechanical fields induced by a uniform heat source acting over an isotropic half-space / Rosati, Luciano; Marmo, Francesco. - In: INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - ISSN 0017-9310. - 75:(2014), pp. 272-283. [10.1016/j.ijheatmasstransfer.2014.03.069]
Closed-form expressions of the thermo-mechanical fields induced by a uniform heat source acting over an isotropic half-space
ROSATI, LUCIANO;MARMO, FRANCESCO
2014
Abstract
We provide closed-form expressions of displacements, stress and temperature fields produced in an isotropic linearly elastic half-space by a uniform heat flow acting over an arbitrarily shaped region of its boundary. The result is obtained by applying recent results of potential theory which allow one to replace the domain integrals expressing the thermo-mechanical fields by one-dimensional integrals extended to the boundary of the heated region. Algebraic expressions for evaluating the thermo-mechanical fields at an arbitrary point of the half-space are derived solely as a function of the heat flux and of the position vectors which define the boundary of the heated region assumed to be polygonal. Representative numerical examples show the effectiveness of the proposed approach to typical problems in thermo-mechanical contact, with particular reference to the evaluation of the thermal spreading resistance.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.