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A PERIODIC SYSTEM OF ELECTRICALLY PERMEABLE CRACKS AT THE INTERFACE BETWEEN TWO PIEZOELECTRIC MATERIALS

机译:两种压电材料之间界面上的电导裂纹的周期性系统

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摘要

We constructed a closed solution for a bimaterial plane consisting of two dissimilar piezoelectric half-planes with a periodic system of electrically permeable cracks at the interface between these materials. The presence of zones of smooth contact of the crack lips near their tips was taken into account. By rep-resenting the characteristics of electromechanical fields via piecewise analytic functions, we reduced the problem to a Dirichlet-Riemann periodic problem, which was solved exactly. As a result of numerical analysis of the derived solution, we studied the dependence of the relative length of the contact zones and stress intensity factors on the ratio between the crack length and period for different combinations of piezoelectric materials.
机译:我们为双材料平面构造了一个封闭的解决方案,该平面由两个不同的压电半平面组成,在这些材料之间的界面处具有周期性的电渗透性裂纹系统。考虑到裂纹唇在其尖端附近的平滑接触区域的存在。通过分段分析函数表示机电场的特征,我们将该问题简化为Dirichlet-Riemann周期问题,可以精确地解决该问题。作为对得出的解进行数值分析的结果,我们研究了压电材料不同组合的接触区相对长度和应力强度因子对裂纹长度与周期之比的依赖性。

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  • 来源
    《Journal of Mathematical Sciences》 |2010年第5期|p.659-673|共15页
  • 作者

    S. V. Kozinov; V. V. Loboda;

  • 作者单位

    Dnipropetrovs'k National University, Dnipropetrovs'k, Ukraine;

    Dnipropetrovs'k National University, Dnipropetrovs'k, Ukraine;

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  • 正文语种 eng
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