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首页> 外文期刊>Applied Mechanics and Engineering >ANALYSIS OF MODE I CONDUCTING CRACK IN PIEZO-ELECTRO-MAGNETO-ELASTIC LAYER
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ANALYSIS OF MODE I CONDUCTING CRACK IN PIEZO-ELECTRO-MAGNETO-ELASTIC LAYER

机译：压电电磁层中I型传导裂纹的分析

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摘要

Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto - electrically dielectric crack embedded in a magnetoelectroelastic layer is investigated. The prescribed displacement, electric potential and magnetic potential boundary conditions on the layer surfaces are adopted. Applying the Hankel transform technique, the boundary - value problem is reduced to solving three coupling Fredholm integral equations of second kind. These equations are solved exactly. The corresponding semi - permeable crack - face magnetoelectric boundary conditions are adopted and the electric displacement and magnetic induction of crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings, the dielectric permittivity and magnetic permeability of crack interior, and the ratio of the crack length and the layer thickness. Field intensity factors are obtained as explicit expressions.
机译：在线性磁电弹性理论中，研究了嵌在磁电弹性层中的磁电介质裂纹的断裂分析。在层表面上采用规定的位移，电势和磁势边界条件。应用汉克尔变换技术，将边值问题简化为求解第二类三阶耦合Fredholm积分方程。这些方程式可以精确求解。采用相应的半渗透裂纹面磁电边界条件，并明确获得裂纹内部的电位移和磁感应强度。裂纹内部的磁场取决于材料性能，施加的载荷，裂纹内部的介电常数和磁导率以及裂纹长度与层厚之比。获得场强因子作为显式表达式。

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