General 2D boundary value problems of piezoelectric nano-sized structures with cracks under a thermal load are analyzed by the finite element method (FEM). The size-effect phenomenon observed in nano-sized 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.

Additional Metadata
Keywords 2d crack problems, Flexoelectricity, Gradient theory, Uncoupled thermoelasticity
Persistent URL
Series Key Engineering Materials
Sladek, J. (Jan), Sladek, V. (Vladimir), Wünsche, M. (Michael), & Tan, C. (2017). Fracture mechanics analysis of size-dependent piezoelectric solids under a thermal load. In Key Engineering Materials. doi:10.4028/