<p>In-plane analysis of a piezoelectric layer with several embedded and edge cracks is conducted using the distributed dislocation technique. The modeling of the crack is done by employing the continuous distribution of dislocations along its surface. By applying the integral transform method, we derived the stress and electric displacement fields induced by Volterra climb and glide edge dislocations, as well as electric dislocations, in the piezoelectric strip. These fields are employed to formulate integral equations governing the behavior of a cracked piezoelectric strip under in-plane electro-mechanical loading. The singular integral equations with the well-known Cauchy-type singularity are numerically solved for the dislocation density functions by generalizing a numerical method to obtain field intensity factors at the tips of embedded and edge cracks. Several examples are analyzed to investigate the fracture behavior of a piezoelectric strip weakened by edge and embedded cracks with various orientations. The effects of crack orientation, crack location, and electromechanical loading parameters under various mixed-mode conditions are investigated on Mode I and II stress intensity factors, as well as electric displacement intensity factors, for multiple interacting embedded and edge cracks. This study presents a novel analytical solution for the simultaneous modeling of embedded and edge cracks in a piezoelectric strip under mixed-mode loading conditions, a problem not previously addressed in the literature. Furthermore, the related problem is formulated for an arbitrary straight crack, which can also be used to analyze curved cracks.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Mixed-mode problem of multiple interacting embedded and edge cracks in a piezoelectric strip under in-plane electro-mechanical loadings

  • Amir Gordouei Milan,
  • Mojtaba Ayatollahi,
  • Reza Teymoori Faal,
  • Magd Abdel-Wahab

摘要

In-plane analysis of a piezoelectric layer with several embedded and edge cracks is conducted using the distributed dislocation technique. The modeling of the crack is done by employing the continuous distribution of dislocations along its surface. By applying the integral transform method, we derived the stress and electric displacement fields induced by Volterra climb and glide edge dislocations, as well as electric dislocations, in the piezoelectric strip. These fields are employed to formulate integral equations governing the behavior of a cracked piezoelectric strip under in-plane electro-mechanical loading. The singular integral equations with the well-known Cauchy-type singularity are numerically solved for the dislocation density functions by generalizing a numerical method to obtain field intensity factors at the tips of embedded and edge cracks. Several examples are analyzed to investigate the fracture behavior of a piezoelectric strip weakened by edge and embedded cracks with various orientations. The effects of crack orientation, crack location, and electromechanical loading parameters under various mixed-mode conditions are investigated on Mode I and II stress intensity factors, as well as electric displacement intensity factors, for multiple interacting embedded and edge cracks. This study presents a novel analytical solution for the simultaneous modeling of embedded and edge cracks in a piezoelectric strip under mixed-mode loading conditions, a problem not previously addressed in the literature. Furthermore, the related problem is formulated for an arbitrary straight crack, which can also be used to analyze curved cracks.