Fractional derivatives and strain gradient elasticity

DOI10.1007/S00707-015-1489-XzbMath1381.74019OpenAlexW2178268937MaRDI QIDQ268904

A. K. Lazopoulos, Konstantinos A. Lazopoulos

Publication date: 18 April 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1489-x

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Micromechanics of solids (74M25) Fractional derivatives and integrals (26A33)

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Cites Work

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• A note on line forces in gradient elasticity
• Non-local continuum mechanics and fractional calculus
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A simple approach to solve boundary-value problems in gradient elasticity
• Experiments and theory in strain gradient elasticity.
• On the impact of elastic bodies with adhesive forces
• On the gradient strain elasticity theory of plates
• Response of gradient-viscoelastic bar to static and dynamic axial load
• Static and dynamic analysis of a gradient-elastic bar in tension
• A general finite element formulation for fractional variational problems
• The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus
• Connection between the order of fractional calculus and fractional dimensions of a type of fractal functions
• Diffusion problems in fractal media defined on Cantor sets
• Advances in Fractional Calculus
• A fractional calculus approach to the description of stress and strain localization in fractal media

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