||CMC: Computers, Materials & Continua, Vol. 39, No. 1, pp. 49-71, 2014
||Full length paper in PDF format. Size = 758,318 bytes
||Thermal conductivities, thin anisotropic layer, boundary element
method, conjugate gradient method.
||A common difficulty arises in characterizing the anisotropic properties
of a thin sheet of anisotropic material, especially in the transverse direction.
This difficulty is even more phenomenal for measuring its mechanical properties
on account of its thickness. As the prelude of such investigation, this paper proposes
a novel approach to identify the thermal conductivities of an unknown thin
layer of anisotropic material. For this purpose, the unknown layer is sandwiched in
isotropic materials with known conductivities. Prescribing proper boundary conditions,
one may easily measure temperature data on a few sample boundary points.
Therefore, the anisotropic thermal conductivities can be calculated inversely. For
the inverse analysis, the boundary element method (BEM) is employed to combine
with the conjugate gradient method (CGM). For verifying our analysis, numerical
experiments were carried out. The obtained results have shown great computational
efficiency and accuracy in identifying the thermal conductivities of the thin