Stochastic thermoelastic problem of a functionally graded plate under random temperature load |
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Authors: | R Chiba Y Sugano |
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Institution: | (1) Department of Mechanical Engineering, Miyagi National College of Technology, Natori 981-1239, Japan;(2) Department of Mechanical Engineering, Iwate University, Morioka 020-8551, Japan |
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Abstract: | This study attempts to derive the statistics of temperature and thermal stress in functionally graded material (FGM) plates
exposed to random external temperatures. The thermomechanical properties of the FGM plates are assumed to vary arbitrarily
only in the plate thickness direction. The external temperatures are expressed as random functions with respect to time. The
transient temperature field in the FGM plate is determined by solving a nonhomogeneous heat conduction problem for a multilayered
plate with linear nonhomogeneous thermal conductivity and different homogeneous heat capacity in each layer. The autocorrelations
and power spectrum densities (PSDs) of temperature and thermal stress are derived analytically. These statistics for FGM plates
composed of partially stabilised zirconia (PSZ) and austenitic stainless steel (SUS304) are computed under the condition that
the fluctuation in the external temperature can be considered as white noise or a stationary Markov process. |
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Keywords: | Stochastic process Thermal stress Functionally graded material (FGM) Nonhomogeneous plate Random external temperature |
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