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The problem of a Griffith crack in an unbounded orthotropic functionally graded material subjected to antiplane shear impact was studied.

研究了无限大正交各向异性功能梯度材料Griffith裂纹受反平面剪切冲击作用的问题。

By using of complex variable and integral equation methods, the antiplane multiple elliptical holes and multiple cracks problem of infinite region was considered.

摘 要:运用复变函数及积分方程方法,求解了无限域中的多椭圆孔多裂纹反平面问题。

The multiple cracks and multiple circular holes problem of the particular antiplane regions are studied in the paper by the complex variable function and integral equation method.

利用Fredholm积分方程和复函数方法对断裂力学中的一些特殊反平面区域内的多圆孔、多裂纹问题进行了计算。

An infinite elastic solid containing a doubly periodic parallelogrammic array of annular cross-section inclusions under antiplane shear is studied.

研究了含双周期分布圆环形截面弹性夹杂的无限大介质在远场均匀反平面应力下的弹性响应。

E By use of the deduced basic solution of antiplane problem, singular integral equation of the interaction between line inclusion and crack is established. Expressions of stress intensity factor of both inclusion and crack and interface stress of the inclusion are given. Numerical calculation of typical example is made.

导出了夹杂反平面问题的基本解,用此建立了线夹杂与线裂纹相互作用的奇异积分方程,给出了夹杂和裂纹端点的应力强度因子,及夹杂两侧界面应力的表达式,并用数值法计算了若干典型算例。

The antiplane shear problems of collinear cracks at the interface of dissimilar anisotropic materials aredealt with.

本文研究两种各向异性材料界面共线裂纹的反平面剪切问题。

In this paper,in consideration of air medium inside the hole defects acting on the electric field, a coupled field of antiplane strain problem for the piezoelectric material with an elliptic hole is analyzed with an expression for potential function of complex veriable in Faber series.

考虑椭圆孔内空气介质对电场的作用,用复变函数的Faber级数展开方法,分析了含椭圆孔的压电材料反平面应变问题的耦合场,给出了问题的精确解。

In this paper, this method is extended into the orthotropic media. The parameterβ=μxμy is introduced to perform coordinate transformation. The basic equations of antiplane crack problem for orthotropic media can be transformed in terms of those of isotropic media.

本文将这一方法推广应用于正交各向异性材料,首先引入参数β=μxμy,利用坐标变换,将正交各向异性板反平面裂纹问题的基本问题转换为各向同性的形式进行求解,然后经过反变换求得问题的一般解。

In the functionally graded elastic half-space and the functionally graded covered layer, the motion control equations for the antiplane shear wave are solved, the analytical solutions for displacement and stress are obtained, and with these analytical solutions, the dispersion equation of Love wave is obtained.

对功能梯度弹性半空间和功能梯度覆层的反平面剪切波的运动控制方程进行了求解,给出了半空间和覆盖层的位移、应力解析解,给出了Love波在该解析解下的频散方程。

With the adoption of the rate-sensitive constitutive relationship, it is asymptotically investigated the propagating tip fields of antiplane mode III crack under the condition of incompressibility, and the dynamics equations are obtained separately governing the stress and strain fields at the crack-tip.

采用这种率敏感型本构关系,本文对不可压缩条件下反平面Ⅲ型扩展裂纹的尖端场进行了渐近分析,分别求得了其裂纹尖端应力和应变场的动力学控制方程。

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