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Structural Engineering and Mechanics Volume 76, Number 3, November10 2020 , pages 325-336 DOI: https://doi.org/10.12989/sem.2020.76.3.325 |
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Examination of analytical and finite element solutions regarding contact of a functionally graded layer |
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Murat Yaylacı, Gökhan Adıyaman, Erdal Öner and Ahmet Birinci
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| Abstract | ||
| In this study, the continuous and discontinuous contact problems of functionally graded (FG) layer resting on a rigid foundation were considered. The top of the FG layer was loaded by a distributed load. It was assumed that the shear modulus and the density of the layer varied according to exponential functions along the depth whereas the the Poisson ratio remained constant. The problem first was solved analytically and the results were verified with the ones obtained from finite element (FE) solution. In analytical solution, the stress and displacement components for FG layer were obtained by the help of Fourier integral transform. Critical load expression and integral equation for continuous and discontinuous contact, respectively, using corresponding boundary conditions in each case. The finite element solution of the problem was carried out using ANSYS software program. In continuous contact case, initial separation distance and contact stresses along the contact surface between the FG layer and the rigid foundation were examined. Separation distances and contact stresses were obtained in case of discontinuous contact. The effect of material properties and loading were investigated using both analytical and FE solutions. It was shown that obtained results were compatible with each other. | ||
| Key Words | ||
| continuous contact; discontinuous contact; finite element method; functionally graded layer | ||
| Address | ||
| Murat Yaylacı: Recep Tayyip Erdogan University, Department of Civil Engineering, 53100, Rize, Turkey Gökhan Adıyaman, Ahmet Birinci: Karadeniz Technical University, Department of Civil Engineering, 61080, Trabzon, Turkey Erdal Öner: Bayburt University, Department of Civil Engineering, 69010, Bayburt, Turkey | ||