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首页> 外文期刊>Mathematical Problems in Engineering >Mixed Electrical Conditions on Interface Inclusion in a Piezoelectric Bimaterial under Antiplane Mechanical and Inplane Electric Loadings
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Mixed Electrical Conditions on Interface Inclusion in a Piezoelectric Bimaterial under Antiplane Mechanical and Inplane Electric Loadings

机译：反平面机械和平面电载荷下压电双材料中界面包含的混合电条件

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摘要

An absolutely rigid interface inclusion in a bimaterial piezoelectric space under the action of antiplane mechanical and in-plane electric loadings is analyzed. One zone of the inclusion is electrically insulated while the other part is electrically permeable. This problem is important for engineering application, but it has not been solved earlier in an analytical way. Presenting all electromechanical quantities via sectionally analytic vector functions, the combined Dirichlet-Riemann boundary value problem is formulated. An exact analytical solution of this problem is obtained. Closed form analytical expressions for electromechanical quantities at the interface are derived. Some of these values are also presented graphically along the corresponding parts of the material interface. Singular points of the shear strain and the electric displacement are found and the corresponding intensity factors are determined as well.
机译：分析了在反平面机械载荷和平面内电载荷作用下双材料压电空间中绝对刚性的界面包裹体。夹杂物的一个区域是电绝缘的，而另一部分是电渗透的。这个问题对于工程应用很重要，但尚未以解析的方式解决。通过分段解析矢量函数表示所有机电量，并提出了组合的Dirichlet-Riemann边值问题。获得了该问题的精确解析解决方案。得出界面上机电量的闭合形式解析表达式。这些值中的某些值还沿着材质界面的相应部分以图形方式显示。找到剪切应变和电位移的奇异点，并确定相应的强度因子。

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  • 来源
    《Mathematical Problems in Engineering》 |2018年第6期|1767645.1-1767645.8|共8页
  • 作者

    Sheveleva A.; Loboda V.; Kryvoruchko A.;

  • 作者单位

    Oles Honchar Dnipro Natl Univ, Dept Computat Math, Gagarin Av 72, UA-49010 Dnipro, Ukraine;

    Oles Honchar Dnipro Natl Univ, Dept Theoret & Computat Mech, Gagarin Av 72, UA-49010 Dnipro, Ukraine;

    Oles Honchar Dnipro Natl Univ, Dept Theoret & Computat Mech, Gagarin Av 72, UA-49010 Dnipro, Ukraine;

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