An improved solution to thermoelastic material design in functionally gradient materials: Scheme to reduce thermal stresses

Tanaka, Kikuaki; Tanaka, Yoshiyuki; Watanabe, Hirofumi; Poterasu, V.F.; Sugano, Yoshihiro

doi:10.1016/0045-7825(93)90088-f

Cited by 97 publications

(30 citation statements)

References 4 publications

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“…In the estimation of the effective material properties of the FGM, Poisson's ratio is considered to be uniform throughout the thickness, and the density and specific heat are assumed to follow the simple rule of mixture. The thermal conductivity, Young's modulus [20] and fuzzy inference [18]. In addition, dimensionless variables are introduced as follows:…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Stochastic thermoelastic problem of a functionally graded plate under random temperature load

Chiba

Sugano

2006

Arch Appl Mech

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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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Section: Numerical Results and Discussionmentioning

confidence: 99%

Stochastic thermoelastic problem of a functionally graded plate under random temperature load

Chiba

Sugano

2006

Arch Appl Mech

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“…The mean thermal conductivity, Young's modulus and mean CTE are determined by applying Mori-Tanaka's theory [29], combined with fuzzy inference [27] in the region 0.…”

Section: Computational Parametersmentioning

confidence: 99%

Stochastic analysis of a thermoelastic problem in functionally graded plates with uncertain material properties

Chiba

Sugano

2007

Arch Appl Mech

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The statistics (i.e., mean and variance) of temperature and thermal stress are analytically obtained in functionally graded material (FGM) plates with uncertainties in the thermal conductivity and coefficient of linear thermal expansion. These FGM plates are assumed to have arbitrary nonhomogeneous thermal and mechanical properties through the entire thickness of plate and are subjected to deterministic convective heating. The stochastic temperature and thermal stress fields are analysed by assuming the FGM plate is multilayered with distinct, random thermal conductivity and coefficient of linear thermal expansion in each layer. Vodicka's method, which is a type of integral transform method, and a perturbation method are employed to obtain the analytical solutions for the statistics. The autocorrelation coefficients of each random property and cross-correlation coefficients between different random properties are expressed in exponential function forms as a non-homogeneous Markov random field of discrete space. Numerical calculations are performed for FGM plates composed of partially stabilised zirconia (PSZ) and austenitic stainless steel (SUS304), which have the largest dispersion of the random properties at the place where the volume fractions of the two constituent materials are both 0.5. The effects of the spatial change in material composition, thermal boundary condition and correlation coefficients on the standard deviations of the temperature and thermal stress are discussed.

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“…Tanigawa and coauthors [4][5][6] investigated transient thermal stresses of nonhomogeneous materials when subjected to various heat sources. Furthermore, an optimal design of functionally graded plates and cylinders according to the distribution of steady-state thermal stresses has been formulated by Tanaka et al [7][8] . Residual thermal stresses in functionally graded materials have been dealt with by Ravishandran [9] , Finot et al [10] , and Chiu [11] .…”

Section: Introductionmentioning

confidence: 99%

“…At first, functionally graded materials were mainly employed in those areas relating to high-temperature environment, so thermoelastic analysis has always been the subject of researches from the beginning [1][2][3][4][5][6][7][8][9][10][11][12][13][14] . For example, Noda and coauthors [1][2][3] studied the thermoelastic problems of functionally graded plates, hollow annuli, and hollow spheres.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic analysis of functionally graded annulus with arbitrary gradient

Peng

2009

Appl. Math. Mech.-Engl. Ed.

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A thermoelastic problem of a circular annulus made of functionally graded materials with an arbitrary gradient is investigated. Different from previous works, our analysis neither requires a special form of the gradient of material properties nor demands partitioning the entire structure into a multilayered homogeneous structure. Instead, we propose a new method for solving the thermoelastic problem of a functionally graded circular annulus by transforming it to a Fredholm integral equation. The distribution of thermal stresses and radial displacement can be obtained by solving the resulting equation. Illustrative examples are given to show the effects of varying gradients on the thermal stresses and radial displacement for given temperature changes at the inner and outer surfaces. The results indicate that the thermal stresses can be relaxed for specified gradients, which is beneficial to design an inhomogeneous annulus to maintain structural integrity.

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An improved solution to thermoelastic material design in functionally gradient materials: Scheme to reduce thermal stresses

Cited by 97 publications

References 4 publications

Stochastic thermoelastic problem of a functionally graded plate under random temperature load

Stochastic thermoelastic problem of a functionally graded plate under random temperature load

Stochastic analysis of a thermoelastic problem in functionally graded plates with uncertain material properties

Thermoelastic analysis of functionally graded annulus with arbitrary gradient

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