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2報,はく離面の開口を仮定したモデルの解析

概要

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Symmetrical bending of a circular laminated plate containing a disc-shaped delamination subject to thermal gradient is analyzed on the basis of the theory of small deflection of plates. A disc-shaped crack model where the crack faces are open is considered. Radial in-plane forces are induced in the parts of the constituent plates above and below the disc-shaped crack. A nonlinear equation for determining the in-plane forces is derived by modeling the cracked part as two lapped discs hinged along both rims, and by imposing the compatibility condition of the deformations of the two plates. Numerical solutions are obtained for some model plates. It is shown that relative displacement at the center of the crack increases gradually with the increase in temperature gradient. However, at a critical temperature gradient, the relative displacement begins to increase very rapidly, i.e., local delamination buckling occurs. Energy release rate is small for temperature gradient below the critical value, but it takes a large value when the temperature gradient is increased above the critical value. Energy release rate also increases with the increase in the radius of the crack and hence the buckling driven delamination grows unstably.
社団法人日本機械学会の論文
2005-02-25