The J-Integral for Gradient Theory of Piezoelectricity

Abstract:

The size-dependent features concerning the mechanical behavior of the micro/nanoelectronic 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.

• Periodical: Key Engineering Materials (Volume 713)
• Pages: 203-206
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.713.203
• Online since: September 2016
• Authors: Jan Sladek*, Vladimir Sladek, Chuan Zeng Zhang, Choon Lai Tan
• Keywords: 2D Crack Problems, Flexoelectricity, Gradient Theory, Size Effect

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