Stress concentration around a hole in a radially inhomogeneous plate
| Autor: | Mohsen Mohammadi, Liying Jiang, John R. Dryden |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Young's modulus
Geometry 02 engineering and technology symbols.namesake 0203 mechanical engineering Materials Science(all) Modelling and Simulation Shear stress General Materials Science Stress intensity factor Plane stress Mathematics Stress concentration Mechanical Engineering Applied Mathematics Mechanics Pure shear 021001 nanoscience & nanotechnology Condensed Matter Physics Poisson's ratio 020303 mechanical engineering & transports Mechanics of Materials Modeling and Simulation Critical resolved shear stress symbols 0210 nano-technology |
| Zdroj: | International Journal of Solids and Structures. 48(3-4):483-491 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/j.ijsolstr.2010.10.013 |
| Popis: | The stress concentration factor around a circular hole in an infinite plate subjected to uniform biaxial tension and pure shear is considered. The plate is made of a functionally graded material where both Young’s modulus and Poisson’s ratio vary in the radial direction. For plane stress conditions, the governing differential equation for the stress function is derived and solved. A general form for the stress concentration factor in case of biaxial tension is presented. Using a Frobenius series solution, the stress concentration factor is calculated for pure shear case. The stress concentration factor for uniaxial tension is then obtained by superposition of these two modes. The effect of nonhomogeneous stiffness and varying Poisson’s ratio upon the stress concentration factors are analyzed. A reasonable approximation in the practical range of Young’s modulus is obtained for the stress concentration factor in pure shear loading. |
| Databáze: | OpenAIRE |
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