Energy Release Rates for a Delamination of a Functionally Graded Beam Subjected to Thermal Loading

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  • 熱的負荷を受ける傾斜機能材料はりのはく離のエネルギー解放率
  • ネツテキ フカ オ ウケル ケイシャ キノウ ザイリョウ ハリ ノ ハクリ ノ エネルギー カイホウリツ

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Abstract

Delamination of a beam made from functionally graded material (FGM) is analyzed on the basis of classical beam theory. It is assumed that Young's modulus and the coefficient of thermal expansion vary continuously along the thickness direction, and the beam is subjected to the temperature distribution which also varies along the thickness direction. A general expression for the energy release rate of an edge delamination is derived based on so-called "cut and paste procedure". The analysis is then extended to an internal delamination that is parallel to the beam axis. It is shown that the analysis of the deflection of the beam is reduced to the solution of a nonlinear equation for axial forces acting in the beams above and below the delamination. The analyses are applied to a model FGM beam assumed by Erdogan, F. and Chiu, Tz-C [J. Thermal Stresses, Vol. 26, pp. 497-523 (2003)]. It is shown that both the deflection and the energy release rate compare well with those obtained by Erdogan and Chin based on finite element method.

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