Analytical solution of a plane strain pure bending problem in second gradient electroelasticity

Yury Solyaev; Sergey Lurie

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arXiv · 1811.08087

Analytical solution of a plane strain pure bending problem in second gradient electroelasticity

Yury Solyaev·Sergey Lurie

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Abstract

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.

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Yury Solyaev, Sergey Lurie. 2018-11-20. Analytical solution of a plane strain pure bending problem in second gradient electroelasticity. https://arxiv.org/abs/1811.08087

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