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

机译：压电压电弹性体中I型电磁导电裂纹的断裂分析

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摘要

Within the theory of linear magnetoelectroelasticity, the fracture analysis of a magneto electrically conducting crack embedded in a magneto electro elastic medium is investigated. The prescribed normal stress and two cases of electromagnetic boundary conditions applied at infinity are adopted. Applying the Hankel transform technique, the boundary value problem is reduced to solving three pairs of dual coupling integral equations. These equations are solved exactly. The corresponding semi permeable crack face magneto electric boundary conditions are adopted and the electric displacement and magnetic induction of the crack interior are obtained explicitly. This field inside the crack is dependent on the material properties, applied loadings and the dielectric permittivity and magnetic permeability of the crack interior. Field intensity factors are obtained as explicit expressions.
机译：在线性磁电弹性理论中，研究了嵌入在磁电弹性介质中的磁导电裂纹的断裂分析。采用规定的法向应力和在无限远处施加两种电磁边界条件的情况。应用汉克尔变换技术，将边值问题简化为求解三对对偶耦合积分方程。这些方程式可以精确求解。采用相应的半透性裂纹面磁电边界条件，并明确获得了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，施加的载荷以及裂纹内部的介电常数和磁导率。获得场强因子作为显式表达式。

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