On bending of strain gradient elastic micro-plates |
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Authors: | K.A. Lazopoulos |
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Affiliation: | aMechanics Department, School of Mathematical Sciences (SEMFE), National Technical University of Athens, 5 Heroes of Polytechnion Ave., Zografou Campus, Athens, GR 157 73, Greece |
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Abstract: | Bending of strain gradient elastic thin plates is studied, adopting Kirchhoff’s theory of plates. Simple linear strain gradient elastic theory with surface energy is employed. The governing plate equation with its boundary conditions are derived through a variational method. It turns out that new terms are introduced, indicating the importance of the cross-section area in bending of thin plates. Those terms are missing from the existing strain gradient plate theories; however, they strongly increase the stiffness of the thin plate. |
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Keywords: | Strain gradient elasticity Bending Plates |
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