A Disc-Shaped Interface Crack in a Laminated Plate Subject to Thermal Gradient (1st Report, Formulation of the Problem and the Analysis of the Model Assuming the Contact of Crack Faces)

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  • 温度こう配下における異種材積層円板中の円形はく離（第１報，問題の定式化とはく離面の接触を仮定したモデルの解析）
  • オンド コウバイカ ニオケル イシュザイ セキソウ エンバンチュウ ノ エンケイ ハクリ : ダイ1ポウ, モンダイ ノ テイシキカ ト ハクリメン ノ セッショク オ カテイ シタ モデル ノ カイセキ
  • 1st Report, Formulation of the Problem and the Analysis of the Model Assuming the Contact of Crack Faces
  • 第1報, 問題の定式化とはく離面の接触を仮定したモデルの解析

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Symmetrical bending of a circular laminated plate containing a disc-shaped delamination subject to thermal gradients is analyzed on the basis of the theory of small deflection of plates. General equations for the axisymmetrical bending of a bilayer plate are derived. A disc-shaped crack model assuming the contact of the two crack faces is then considered. Radial in-plane forces induced by bending in the parts of the plate above and below the delamination are determined by modeling the cracked part as two lapped discs hinged at both rims. If there is no temperature gap between the two faces of the crack, then the plate is bent to a spherical cap whose curvature is independent of the radius of the crack, so that the energy release rate is identically zero. The condition for the contact of crack faces is also discussed. It is concluded that the model assuming that the deflections of the plates upper and lower to the crack are different have to be considered to get more precise insight for the crack growth behavior.

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