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Tuning stress
concentrations through embedded functionally graded
shells
Xiaobao Li, Yiwei Hua, Chenyi Zheng and Changwen Mi |
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Vol. 13 (2018), No. 3, 311–335
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Abstract |
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In this work, we explore the possibility of tuning stress concentrations in materials by judiciously designing embedded functionally graded shells. Specifically, we choose thick-walled cylinders to illustrate our central idea. We specifically consider the boundary value problem of a radially varying graded shell bonded to a thick-walled cylinder. We obtain closed-form solutions and our parametric numerical studies suggest that a graded soft shell can effectively drive the stress concentration from the inner surface of the shell to the shell-cylinder interface. For any boundary loading, an optimal inhomogeneity index that balances the stress concentrations along the inner surface and the interface can be identified. Using the solution to a completely homogeneous cylinder as a benchmark, the stress concentration factor can be reduced by more than 40%. The results of this work suggest the significant potential of functionally graded materials for tailoring the stress concentrations of engineering structures by bonding a properly designed inhomogeneous layer to the perimeter of geometric defects. |
Keywords
functionally graded material, stress concentration, method
of stress function, thick-walled cylinder, elasticity
theory
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Milestones
Received: 26 December 2017
Revised: 10 May 2018
Accepted: 27 May 2018
Published: 31 August 2018
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Changwen Mi is the corresponding author. |
Authors |
| Xiaobao Li | |
| School of Civil Engineering Hefei University of Technology Hefei China |
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| Yiwei Hua | |
| Jiangsu Key Laboratory of
Engineering Mechanics, School of Civil Engineering Southeast University Nanjing China |
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| Chenyi Zheng | |
| Jiangsu Key Laboratory of
Engineering Mechanics, School of Civil Engineering Southeast University Nanjing China |
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| Changwen Mi | |
| Jiangsu Key Laboratory of
Engineering Mechanics, School of Civil Engineering Southeast University Nanjing China |
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