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S25 Métodos Numéricos |
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Title:
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VARIATIONAL FORMULATION OF THE HEAT CONDUCTION PROBLEM
IN COMPOSITES WITH AN INTERFACIAL THERMAL RESISTANCE
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Summary :
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IN THIS PAPER WE DEVELOP A CONTINUOUS VARIATIONAL FORMULATION OF THE HEAT CONDUCTION PROBLEM IN COMPOSITE MATERIALS WITH AN INTERFACIAL THERMAL
RESISTANCE BETWEEN THE CONSTITUENT PHASES. THE CONTACT RESISTANCE IS A FREELY VARIABLE PARAMETER, REPRESENTING THE RATIO OF THE TEMPERATURE JUMP TO THE HEAT FLUX AT THE INTERFACE. THE CONTINUOUS EQUATIONS ARE OBTAINED BY APPLYING THE METHOD OF HOMOGENIZATION TO THE VARIATIONAL FORM OF THE CONDUCTION BOUNDARY VALUE PROBLEM FOR THE MULTISCALE COMPOSITE MEDIUM. OUR FORMULATION IS APPLICABLE TO BOTH ORDERED AND RANDOM COMPOSITES, AND TO TWO- AND
THREE--DIMENSIONAL GEOMETRIES; THE VARIATIONAL FORM IS WELL SUITED FOR SUBSEQUENT NUMERICAL SOLUTION BY THE FINITE ELEMENT METHOD. WE
ILLUSTRATE THE CAPABILITIES OF OUR APPROACH BY NUMERICALLY CALCULATING THE EFFECTIVE CONDUCTIVITY OF A LAMINATED BINARY COMPOSITE WITH CONTACT RESISTANCE BETWEEN THE LAYERS, AND VALIDATE OUR RESULTS AGAINST THE EXACT PREDICTION. |
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Author :
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Cruz, Manuel Ernani Carvalho
Rocha, Rodrigo Penha Andrade
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Paper View :
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