The flexoelectric effect and higher-order heat conduction equation are considered for the fracture mechanics analysis of piezoelectric nano-sized structures under a thermal load. The variational principle is applied to the governing equations of generalized uncoupled thermoelasticity to obtain the formulation for the finite element method (FEM). In the numerical implementation of the FEM, the physical fields are approximated by conforming elements with C1-continuity. Since uncoupled thermoelasticity is considered, the heat conduction problem is analyzed independently of the mechanical fields in the first step. The influence on the crack behaviour of the characteristic time parameter that occurs in generalized heat conduction is investigated in some numerical examples.

Additional Metadata
Keywords C1-continuity elements, Finite element method, Flexoelectricity, Higher-order heat conduction, Uncoupled thermoelasticity
Persistent URL dx.doi.org/10.1016/j.tafmec.2019.102267
Journal Theoretical and Applied Fracture Mechanics
Citation
Sladek, J. (Jan), Sladek, V. (Vladimir), Repka, M. (Miroslav), & Tan, C. (2019). Crack analysis of solids with gradient thermo-piezoelectricity. Theoretical and Applied Fracture Mechanics, 103. doi:10.1016/j.tafmec.2019.102267