Fracture Mechanics Analysis of Size-Dependent Piezoelectric Solids under a Thermal Load

Abstract:

General 2D boundary value problems of piezoelectric nanosized structures with cracks under a thermal load are analyzed by the finite element method (FEM). The size-effect phenomenon observed in nanosized structures is described by the strain-gradient effect. The strain gradients are considered in the constitutive equations for electric displacement and the high-order stress tensor. For this model, the governing equations are derived with the corresponding boundary conditions using the variational principle. Uncoupled thermoelasticity is considered, thus, the heat conduction problem is analyzed independently of the mechanical fields in the first step. A numerical example is presented and discussed to demonstrate the effects of the strain-gradient.

• Periodical: Key Engineering Materials (Volume 754)
• Pages: 165-168
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.754.165
• Online since: September 2017
• Authors: Jan Sladek*, Vladimir Sladek, Michael Wünsche, Choon Lai Tan
• Keywords: 2D Crack Problems, Flexoelectricity, Gradient Theory, Uncoupled Thermoelasticity

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