年間 4 号発行
ISSN 印刷: 2152-2057
ISSN オンライン: 2152-2073
Indexed in
METHOD FOR SOLVING INVERSE COEFFICIENT PROBLEMS OF HEAT TRANSFER IN ANISOTROPIC COMPOSITE MATERIALS
要約
We discuss the method for recovery of the components of the thermal conductivity tensor in composite materials (CMs), used for thermal protection under the conditions of air-and-gas-dynamic heating of hypersonic aircraft, on the basis of an analytical solution of the thermal conductivity problem in an anisotropic plate in heat transfer on free boundaries. The method is based on minimization of the squared functional of residual of calculated and experimental values of temperature and on an explicit identification of the vector of the increment of the sought thermal conductivity coefficients in the residual functional. A matrix of the sensitivity coefficients in the form of temperature derivatives with respect to the components of the thermal conductivity tensor is calculated directly, using the previously obtained analytical solution in the identified nodes of the region, where experimental values of temperature are specified. The results of recovery of the components of the thermal conductivity tensor in the anisotropic plate under the conditions of heat transfer are analyzed.
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