A modulus gradient model for an axially loaded inhomogeneous elastic rod |
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Authors: | Hasan Gülaşık Serdar Göktepe Ercan Gürses |
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Affiliation: | 1.Department of Aerospace Engineering,Middle East Technical University,Ankara,Turkey;2.Department of Civil Engineering,Middle East Technical University,Ankara,Turkey |
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Abstract: | 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. |
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