A modulus gradient model for an axially loaded inhomogeneous elastic rod

Date

2018-08-01

Author

Gulasuk, Hasan
Göktepe, Serdar
Gürses, Ercan

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A new gradient elasticity formulation is proposed for a one-dimensional linear elastic inhomogeneous rod. In the new formulation, similar to the differential relation between the local strain and the gradient enhanced strain in the classical models of gradient elasticity, a differential relation is proposed for the Young's modulus. Analytical and finite element solutions of the proposed formulation are derived. Results of the proposed model are compared with a classical model of gradient elasticity for a model problem of carbon nanotube reinforced polymer composite.

Subject Keywords

Gradient elasticity, Nanocomposites, Size effect, Inhomogeneous elastic rod

URI

https://hdl.handle.net/11511/37158

Journal

MECCANICA

DOI

https://doi.org/10.1007/s11012-018-0845-z

Collections

Department of Civil Engineering, Article

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Citation Formats

H. Gulasuk, S. Göktepe, and E. Gürses, “A modulus gradient model for an axially loaded inhomogeneous elastic rod,” MECCANICA, pp. 2573–2584, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37158.