non-linear thermal post-buckling analysis of fgm timoshenko beam under non-uniform temperature rise across thickness
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ID: 197843
2016
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Abstract
The present work deals with geometrically non-linear post-buckling load–deflection behavior of functionally graded material (FGM) Timoshenko beam under in-plane thermal loading. Thermal loading is applied by providing non-uniform temperature rise across the beam thickness at steady-state condition. FGM is modeled by considering continuous distribution of metal and ceramic constituents across the thickness using power law variation of volume fraction. The effect of geometric non-linearity at large post-buckled configuration is incorporated using von Kármán type non-linear strain–displacement relationship. The governing equations are obtained using the minimum potential energy principle. The system of non-linear algebraic equations is solved using Broyden’s algorithm. Four different FGMs are considered. A comparative study for post-buckling load–deflection behavior in non-dimensional form is presented for different volume fraction exponents and also for different FGMs, each for different length–thickness ratios.
| Reference Key |
paul2016engineeringnon-linear
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| Authors | ;Amlan Paul;Debabrata Das |
| Journal | International journal of molecular sciences |
| Year | 2016 |
| DOI |
10.1016/j.jestch.2016.05.014
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