On extended models of plates based on linear strain gradient elasticity
Document Type
Conference Proceeding
Publication Date
1-1-2018
Abstract
© 2018 Taylor & Francis Group, London. Here we discuss the possible ways of derivation of two-dimensional (2D) plate equations starting from the three-dimensional (3D) linear strain-gradient elasticity. Among various approaches we consider the direct approach, the through-the-thickness integration procedure and variational approaches based on minimization of total energy functional and other variational principles. We show that the non-classic boundary conditions of the 3D strain gradient elasticity and the reduction method may generally lead to different plate model, in general. As a result, the mechanics of plates based on strain gradient elasticity is broader than the classic theory.
Publication Title
Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017
Recommended Citation
Eremeyev, V.,
&
Aifantis, E.
(2018).
On extended models of plates based on linear strain gradient elasticity.
Shell Structures: Theory and Applications Volume 4 - Proceedings of the 11th International Conference on Shell Structures: Theory and Applications, SSTA 2017, 85-88.
http://doi.org/10.1201/9781315166605-14
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/13091
