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Composites: Mechanics, Computations, Applications: An International Journal
ESCI SJR: 0.354 SNIP: 0.655 CiteScore™: 1.2

ISSN 印刷: 2152-2057
ISSN オンライン: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v3.i3.20
pages 215-226

METHOD FOR SOLVING INVERSE COEFFICIENT PROBLEMS OF HEAT TRANSFER IN ANISOTROPIC COMPOSITE MATERIALS

V. F. Formalev
Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, Moscow, 125933, Russia
E. L. Kuznetsova
Moscow Aviation Institute (National Research University), 4 Volokolamskoe Highway, Moscow, 125993, Russia

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.

参考

  1. Alifanov, O. M., Artyukhin, E. A., and Rumyantsev, S. V. , Experimental Methods for Solution of Ill-Posed Problems.

  2. Formalev, V. F. and Reviznikov, D. L. , Numerical Methods.

  3. Formalev, V. F., Kuznetsova, E. L., and Kolesnik, A. A. , Analytical solution of the conjugate heat-transfer problem on the boundaries of anisotropic bodies.

  4. Formalev, V. F., Kuznetsova, E. L., and Selin, I. A., Appearance and propagation of heat waves in a nonlinear anisotropic space.

  5. Kuznetsova, E. L. , Development of the mathematical methods of numero-analytical solving of differential equations with mixed derivatives and its application to mathematical modeling of heat and mass transfer.

  6. Kuznetsova, E. L., Kolesnik, A. A., and Formalev, V. F. , Methods for numerical solution of inverse heat-transfer boundary-value problems in anisotropic materials based on analytical solution.

  7. Kuznetsova, E. L. , Recovery of the characteristics of the thermal conductivity tensor on the basis of an analytical solution of the heat transfer problem in an anisotropic half-space.


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