微視力学アプローチによる時間依存非弾性変形を考慮した傾斜機能材料平板の熱応力解析法

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  • Analysis of Thermal Stresses in a Functionally Graded Material Plate Considering Time-Dependent Inelastic Deformation by Micromechanical Approach.
  • ビシ リキガク アプローチ ニ ヨル ジカン イゾン ヒダンセイ ヘンケイ オ コウリョ シタ ケイシャ キノウ ザイリョウ ヘイバン ノ ネツ オウリョク カイセキホウ

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説明

The purpose of this paper is to present a numerical analysis method on thermal stresses in a functionally graded material (FGM) plate considering time-dependent inelastic deformation. This FGM plate has a ceramic-to-metal graded microstructure with spherical particles, which is subjected to a unidirectional heat flow through the thickness. The procedure of this analysis is composed of micromechanics and macromechanics. Micromechanics is based on Eshelby's equivalent inclusion method and Mori-Tanaka's mean field approximation, and according to this theory, the constitutive equation for two-phase composite materials subjected to equally biaxial loadings is formulated. This equation deals with inelastic deformation, that is plastic deformation, creep deformation and interfacial diffusion between ceramic phase and metal one. On the other hand, for macromechanics, the classical laminated plate theory is applied and the above constitutive equation is put in this theory. As an example, some numerical results for Al2O3/Ni-FGM and shown.

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