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Finite elements for elasticity with microstructure and gradient elasticity
International Journal for Numerical Methods in Engineering, 2007AbstractWe present a general finite element discretization of Mindlin's elasticity with microstructure. A total of 12 isoparametric elements are developed and presented, six for plane strain conditions and six for the general case of three‐dimensional deformation. All elements interpolate both the displacement and microdeformation fields.
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Parametric deep energy approach for elasticity accounting for strain gradient effects
Computer Methods in Applied Mechanics and Engineering, 2021Cosmin Anitescu +2 more
exaly
Elastic Symmetry Restrictions from Structural Gradients
2003In a continuum model for a material with structural gradient inhomogenieties there are restrictions on the type of elastic symmetry. It is shown that, if the material symmetry and the structural gradient are determined on the same scale for a linearly elastic material, then the only linear elastic symmetries possible for gradient materials are the ...
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A mixed variational framework for higher-order unified gradient elasticity
International Journal of Engineering Science, 2022S Ali Faghidian, Krzysztof Kamil Żur
exaly
Screw dislocation in gradient elasticity
Scripta Materialia, 1996M.Yu. Gutkin, E.C. Aifantis
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Stationary variational principle of mixture unified gradient elasticity
International Journal of Engineering Science, 2023S Ali Faghidian +2 more
exaly
Large deformations of gradient elastic shells
International Journal of Solids and StructuresMohammadjavad Javadi +2 more
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