Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts
Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts
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具有两个共线介电裂纹的磁电弹性固体在冲击下的瞬态响应
DOI：
10.1016/j.ijsolstr.2009.03.023
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发表时间：
2009-07
影响因子：
3.6
通讯作者：
Zhong, Xian-Ci
中科院分区：
文献类型：
--
作者：
Liu, Fang;Li, Xian-Fang;Zhong, Xian-Ci
对压电材料中两个共线电磁介质裂纹在面内电磁-机电冲击作用下进行了动力学分析。提出了广义半渗透裂纹面边界条件，用于模拟具有电介质的实际张开裂纹。电渗透或不渗透和磁渗透或不渗透假设的组合的理想边界条件是半渗透介质裂纹的几种极限情况。利用拉普拉斯变换和傅立叶变换，将混合初边值问题归结为求解具有柯西核的奇异积分方程组。在拉普拉斯变换域中确定了内外裂纹尖端附近的应力、电位移、磁感应强度和裂纹张开位移的动态强度因子。对一种特殊的磁电弹性固体进行了数值计算，给出了裂纹内的介电常数和磁导率对裂纹面电位移和磁感应强度的影响。通过拉普拉斯变换的数值逆变换，讨论了完全不渗透、真空、完全渗透裂纹的归一化应力强度因子和COD随外加磁电冲击载荷和裂纹几何形状的变化，并用图形表示。
Dynamic analysis of two collinear electro-magnetically dielectric cracks in a piezoelectromagnetic material is made under in-plane magneto-electro-mechanical impacts. Generalized semi-permeable crack-face boundary conditions are proposed to simulate realistic opening cracks with dielectric. Ideal boundary conditions of a combination of electrically permeable or impermeable and magnetically permeable or impermeable assumptions are several limiting cases of the semi-permeable dielectric crack. Utilizing the Laplace and Fourier transforms, the mixed initial-boundary-value problem is reduced to solving singular integral equations with Cauchy kernel. Dynamic intensity factors of stress, electric displacement, magnetic induction and crack opening displacement (COD) near the inner and outer crack tips are determined in the Laplace transform domain. Numerical results for a special magnetoelectroelastic solid are calculated to show the influences of the dielectric permittivity and magnetic permeability inside the cracks on the crack-face electric displacement and magnetic induction. By means of a numerical inversion of the Laplace transform, the variations of the normalized intensity factors of stress and COD are discussed against applied magnetoelectric impact loadings and the geometry of the cracks for fully impermeable, vacuum, fully permeable cracks and shown in graphics.
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影响因子：
3.9
作者：
K. Hu;Guoqiang Li
通讯作者：
K. Hu;Guoqiang Li
DOI：
10.1016/j.ijsolstr.2006.04.028
发表时间：
2007-01
影响因子：
3.6
作者：
Baolin Wang;Y. Mai
通讯作者：
Baolin Wang;Y. Mai
影响因子：
5.4
作者：
R. McMeeking
通讯作者：
R. McMeeking
DOI：
10.1016/j.ijsolstr.2007.05.020
发表时间：
2007-12
影响因子：
3.6
作者：
W. Feng;E. Pan;X. Wang
通讯作者：
W. Feng;E. Pan;X. Wang
影响因子：
5.4
作者：
T. Hao;Ziyi Shen
通讯作者：
T. Hao;Ziyi Shen