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| Content Provider | Springer Nature Link |
|---|---|
| Author | Chiba, Ryoichi |
| Copyright Year | 2008 |
| Abstract | The second-order statistics (i.e. mean and standard deviation) of the temperature and thermal stresses are evaluated in an axisymmetrically heated functionally graded annular disc of variable thickness with spatially random heat transfer coefficients (HTCs) on the major surfaces of the disc. This annular disc is assumed to have arbitrary variations in the HTCs and material composition along the radial direction only. The randomness in the HTCs is considered to be a random field. The stochastic temperature field is analysed by considering the annular disc to be a multilayered one with stepwise thickness variation, where each layer is assumed to have constant deterministic material properties and random HTCs. In order to evaluate the statistics, the Monte Carlo simulation method is applied to analytical solutions for the deterministic temperature and thermal stresses. The analytical solution for the thermal stresses is obtained through the use of a piecewise power function approximation for Young’s modulus. Numerical results demonstrate the effects of the magnitude of the HTC means, volume fraction distributions of the constitutive materials and thickness variation on the statistics of the temperature and thermal stresses. |
| Starting Page | 159 |
| Ending Page | 176 |
| Page Count | 18 |
| File Format | |
| ISSN | 00256455 |
| Journal | Meccanica |
| Volume Number | 44 |
| Issue Number | 2 |
| e-ISSN | 15729648 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2008-07-31 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Random field Monte Carlo simulation Functionally graded material Thermoelasticity Heat transfer coefficient Applied mechanics Mechanical Engineering Automotive Engineering Civil Engineering Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mechanics of Materials Condensed Matter Physics Mechanical Engineering |
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