Semi-inverse analytical solution of a pure bending problem for piezoelectric layer is developed in the framework of linear electroelasticity theory with strain gradient and electric field gradient effects. Two-dimensional solution is derived assuming plane strain state of a layer. It is shown that obtained solution can be used for the validation of size-dependent beam and plate models in second gradient electroelasticity theory.
@article{arxiv.1811.08087,
title = {Analytical solution of a plane strain pure bending problem in second gradient electroelasticity},
author = {Yury Solyaev and Sergey Lurie},
journal= {arXiv preprint arXiv:1811.08087},
year = {2019}
}