Accurate solution for functionally graded beams with arbitrarily varying thicknesses resting on a two-parameter elastic foundation
| Autor: | Yepeng Xu, Zhiyuan Li, Dan Huang |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Work (thermodynamics)
Two parameter Materials science Applied Mathematics Mechanical Engineering Mathematical analysis Foundation (engineering) Variable thickness 02 engineering and technology Bending 021001 nanoscience & nanotechnology Stress (mechanics) 020303 mechanical engineering & transports 0203 mechanical engineering Mechanics of Materials Modeling and Simulation Deformation (engineering) 0210 nano-technology Fourier series |
| Zdroj: | The Journal of Strain Analysis for Engineering Design. 55:222-236 |
| ISSN: | 2041-3130 0309-3247 |
| DOI: | 10.1177/0309324720922739 |
| Popis: | This work presents analytical solutions for bending deformation and stress distributions in functionally graded beams with arbitrarily and continuously variable thicknesses and resting on a two-parameter Pasternak elastic foundation. Based on two-dimensional elasticity theory directly, the general solutions of displacements and stresses which completely satisfy the differential equations governing the equilibrium for arbitrarily varying thickness functionally graded beams are derived for the first time. The undetermined coefficients in the general solution are obtained using Fourier series expansion along the upper and lower surfaces. The accuracy and efficiency of the proposed method are verified through several typical examples. The effects of mechanical and geometry parameters on the stress and displacement distributions of varying thickness functionally graded beams resting on a two-parameter Pasternak elastic foundation are discussed further. |
| Databáze: | OpenAIRE |
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