気体浸透と熱伝導のもとで多孔質無限体に生じる熱応力場の基本解

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  • Fundamental solution of thermal stress field in porous infinite media subjected to gas infiltration and heat transfer

抄録

When a porous solid is subjected to both gas infiltration and heat transfer, thermal stresses are generated in such a solid. In the previous reports, fundamental theory for a porous solid under such a complex situation was developed, and then a thermal stress problem for a porous solid with a flat boundary surface subjected to a concentrated loading was solved completely. In this study, thermal stress problem for a porous infinite solid subjected to a point loading is investigated. A method of solution based upon displacement potential and Fourier integral transform techniques is applied to solve the problem as well as the way used in the previous report. Complete closed form of gas pressure, solid temperature, displacement and thermal stress field in the infinite porous media are presented. It was found that the asymptotic behavior around a point load is strongly affected by gas permeability and pressure of gas phase.

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