The size-dependent features concerning the mechanical behavior of the micro/nano electronic structures are well known from experiments. They are described by the strain-gradient effect in this paper since the classical elasticity theory fails to capture the size effect of the nanostructures. The electric field-strain gradient coupling is considered in the constitutive equations of the material and the governing equations are derived with the corresponding boundary conditions using the variational principle. The path independent J-integral is derived for fracture mechanics analysis of piezoelectric solids described by the gradient theory.

Additional Metadata
Keywords 2D crack problems, Flexoelectricity, Gradient theory, Size effect
Persistent URL
Series Key Engineering Materials
Sladek, J. (Jan), Sladek, V. (Vladimir), Zhang, C. (Chuanzeng), & Tan, C. (2016). The J-integral for gradient theory of piezoelectricity. In Key Engineering Materials. doi:10.4028/