2018
DOI: 10.12693/aphyspola.134.574
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Fractional Euler-Bernoulli Beam Theory Based on the Fractional Strain-Displacement Relation and its Application in Free Vibration, Bending and Buckling Analyses of Micro/Nanobeams

Abstract: Applications of fractional calculus in the constitutive relation lead to the fractional derivatives models. They are stately generalization of the integer derivatives models -this general form makes fractional derivatives models more flexible and suitable to describe properties and behavior of different materials/structures. In the present work, the general strain deformation gradient has been presented by using the modified conformable fractional derivatives definition. Within this approach the fractional Eul… Show more

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Cited by 6 publications
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