任意の熱伝達条件を考慮した不均質平板の非定常熱応力問題

概要

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Nonhomogeneous materials such as FGM (Functionally Gradient Materials) have arbitrarily distributed and continuously varying material properties. For such nonhomogeneous materials, the heat conduction equation takes a nonlinear form, which makes theoretical treatment of the temperature change difficult, and it is almost impossible to obtain the exact solution. In this paper, taking into account the effect of the heat transfer at the heated surface and cooled end, a one-dimensional transient heat conduction problem of a plate made of such nonhomogeneous materials is treated theoretically. Introducing the analytical technique for a laminated plate model, and considering the number of lamina to be sufficiently large, the temperature solution for such a nonhomogeneous plate is approximately derived. The associated thermal stress distribution for an infinitely large nonhomogeneous plate is formulated under the traction free-condition. Numerical calculations are carried out for a nonhomogeneous plate, made of zirconium oxide and titanium alloy. Numerical results such as temperature change and the thermal stress distribution are shown graphically, and the influences of a change of relative heat transfer coefficient at the heated and cooled surfaces and of a change of nonhomogeneity are briefly examined.
一般社団法人日本機械学会の論文
1996-01-25