Elasticity Solutions for Cylindrical Bending of Functionally Graded Plates

YANG Yun-fang; YANG Bo; CHEN Wei-qiu; DING Hao-jiang

doi:10.3879/j.issn.1000-0887.2015.12.004

Volume 36 Issue 12

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YANG Yun-fang, YANG Bo, CHEN Wei-qiu, DING Hao-jiang. Elasticity Solutions for Cylindrical Bending of Functionally Graded Plates[J]. Applied Mathematics and Mechanics, 2015, 36(12): 1257-1264. doi: 10.3879/j.issn.1000-0887.2015.12.004

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Elasticity Solutions for Cylindrical Bending of Functionally Graded Plates

doi: 10.3879/j.issn.1000-0887.2015.12.004

¹Department of Civil Engineering, School of Civil Engineering and Architecture, Zhejiang Sci-Tech University, Hangzhou 310018, P.R.China;²Department of Engineering Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, P.R.China;³Department of Civil Engineering, College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, P.R.China

Funds: The National Natural Science Foundation of China(11202188；11172263)

Received Date: 2015-09-17
Rev Recd Date: 2015-10-19
Publish Date: 2015-12-15

Abstract

Abstract

The cylindrical bending of functionally graded rectangular plates under different loads was studied based on a generalization of the England-Spencer theory. The expansion formulae for displacements and the assumption that the material parameters can vary along the thickness direction in an arbitrary fashion were adopted. The elasticity solutions were obtained for an orthotropic functionally graded plate in cylindrical bending with an infinite length in y-direction. The effects of the boundary conditions, the material gradient and the thickness-to-span ratio on the static responses of the functionally graded plates were investigated through a numerical example. The proposed solutions are useful for the validation of various numerical methods or approximate plate theories.
- functionally graded plate,
- cylindrical bending,
- elasticity solution

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References(13)

References

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