熱的負荷を受ける傾斜機能圧電材料の応力・電束密度拡大係数に及ぼすき裂面伝導性の影響

概要

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Implications of the boundary conditions on the crack surfaces have been discussed for a fracture problem of a piezoelectric material. The heat flux through the crack is assumed to be proportional to the local temperature difference it. Moreover, two models for more realistic crack face electric boundary conditions are proposed. In order to show how the effects of these boundary conditions appear in the stress and electric displacement intensity factors, a mixed-mode thermoelectroelastic fracture problem of a functionally graded piezoelectric material was solved under the pure thermal loading. By using the Fourier transform, the thermal and electromechnical problems are reduced to a singular integral equation and a system of singular integral equations, respecively, which are solved numerically. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the thermal and electric conductance on the stress and electric displacement intensity factors.
2006-12-25