摂動法による物性値に不確定性をもつ傾斜機能平板の確率論的熱弾性問題の解析(OS9a 先端材料の機能性評価と材料設計に関する数理解析)

概要

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The statistics of the temperature and thermal stress are derived by perturbation method for functionally graded material plates (FGM plates) with uncertainties in the thermal conductivity and coefficient of linear thermal expansion and with arbitrary nonhomogeneous thermal and mechanical properties through the thickness of plate. The stochastic temperature and thermal stress fields are analyzed by approximating the FGM plates as multilayered plates with random thermal conductivity and coefficient of linear thermal expansion in each layer. Autocorrelation coefficients of the random properties and crosscorrelation coefficients between the random properties are expressed in exponential function forms as homogeneous Markov random field of discrete coordinate.
2004-11-17