Analysis of Cracks in Piezoelectric Solids with Consideration of Electric Field and Strain Gradients
Due to the progress in nanotechnology, the size of the electronic components and devices has been significantly reduced in recent years. If the dimension of the structure is of the same order of magnitude as the material length scale, the classical electromechanical coupling theory of piezoelectricity fails to describe the observed size-dependent phenomenon. Discrete atomistic methods such as molecular dynamics simulations can be utilized to analyze nano-sized structures. However, the required computational cost of such methods can be too high to investigate realistic engineering problems. An alternative and less expensive possibility is the formulation of an advanced continuum mechanics model which takes the size effect phenomenon into account, where the strain and electric field gradients are included in the constitutive equations.
The authors acknowledge the support by the Slovak Science and Technology Assistance Agency registered under number APVV-14-0216, VEGA 1/0145/17 and the Slovak Academy of Sciences Project (SASPRO) 0106/01/01.
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