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1.
含中心裂纹正交各向异性有限大板的反平面剪切问题 总被引:1,自引:0,他引:1
本文采用边界配置方法计算了含中心裂纹正交各向异性有限大板问题的应力强度因子。在其特例——材料各向同性情形,本文结果与[2]采用Fourier变换方法所得结果一致;同时,本文给出了不同材料参数和裂纹长度情形的计算结果。 相似文献
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压荷载下类岩石材料中的锯齿形裂纹分析 总被引:8,自引:0,他引:8
针对类岩石材料的复杂性和非均质性,特别是材料中一些强度相对较弱的晶界的存在等,对形状较为复杂的两种锯齿形裂纹:内张型滑动裂纹和单翼滑动裂纹的应力强度因子进行了分析.结合经典的滑动裂纹模型,讨论了裂纹起裂角、侧压以及翼裂长度等对应力强度因子的影响.分析的结果为进一步研究类岩石材料的断裂损伤机理提供了理论基础. 相似文献
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本文介绍了三种形状的薄板材料点焊接头试件的拉伸试验及疲劳试验结果,探讨了改变薄板刚度对点焊接头静强度和疲劳寿命的影响。应用断裂力学理论及有限单元法计算焊核周围裂尖各点的应力强度因子K_Ⅰ、K_Ⅱ、K_Ⅲ及有效应力强度因子K_(φθmax),并用这些力学参数分析了不同刚度点焊接头试件的静强度和疲劳寿命。结果表明有效应力强度因子K_(φθmax)是评价拉剪点焊头疲劳寿命的有效力学参数。 相似文献
4.
弹性动力学的双互易杂交边界点法 总被引:2,自引:0,他引:2
将双互易法同杂交边界点法相结合,提出了求解弹性动力问题的新型数值方法------双互易杂交边界点方法. 该算法在求解弹性动力问题时,将控制方程非齐次项的域内积分转化为边界积分. 该方法将问题的解分为通解和特解两部分,通解使用杂交边界点法求得,特解则使用局部径向基函数插值得到,从而实现了使用静力问题的基本解来求解动力问题. 计算时仅仅需要边界上离散点的信息,无论积分还是插值都不需要网格,域内节点仅用来插值非齐次项,因此该算法仍是一种边界类型的无网格方法. 数值算例表明,该方法后处理简单,计算精度高,适合于求解弹性动力问题. 相似文献
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本文提出了一组复应力函数,采用边界配位方法对不同形状孔口(包括圆、椭圆、矩形及菱形孔口)的单边裂纹平板的应力强度因子进行了计算.计算结果表明,对长度和宽度远大于孔口和裂纹几何尺寸的试件,配位法与用其他方法所得的无限大板含圆或椭圆孔边裂纹问题的解符合得很好.同时,对其他孔口问题,特别是有限大板情形,本文给出了一系列计算结果.本文所提出的函数及计算过程可以应用于任意形状孔口单边裂纹平板的计算. 相似文献
7.
王元汉 《应用数学和力学(英文版)》1990,(8)
In this paper,Muskhelishvili complex function theory and boundary collocationmethod are used to calculate the stress Intensity factors(SIF)of a plate with two cracksemanating from an arbitrary hole.The calculated examples include a circular,elliptical,rectangular,or rhombic hole in a plate.The principle and procedure by the method is notonly rather simple,but also has good accuracy.The SIF values calculated compare veryfavorably with the existing solutions.At the same time,the method can be used for differentfinite plate with two cracks emanating from a hole with more complex geometrical andloading conditions.It is an effective unified approach for this kind of fracture problems. 相似文献
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本文提出了一组应力函数,采用边界配置方法计算了含中心裂纹不同截面形状柱体扭转时的应力强度因子。有关椭圆截面柱体的算例表明,本文方法具有良好的精度。同时,文中给出了圆、椭圆和矩形等不同截面柱体的计算结果。 相似文献
9.
王元汉 《应用数学和力学(英文版)》1990,(7)
In this paper a group of stress functions has been proposed for the calculation of acrack emanating from a hole with different shape(including circular,elliptical,rectangular,or rhombic hole)by boundary collocation method.The calculation resultsshow that they coincide very well with the existing solutions by other methods for a circularor elliptical hole with a crack in an infinite plate.At the smae time,a series of results fordifferent holes in a finite plate has also been obtained in this paper.The proposed functionsand calculation procedure can be used for a plate of a crack emanating from an arbitraryhole. 相似文献
10.
A semi-analytical and semi-numerical method is proposed for the dynamic analysis of foundations. The Lamb's solution and the approximate formulae were used to establish the relation of the contact force and deflection between the foundation and soil. Therefore, the foundation can be separated from soil and analyzed by FEM as for the static cases. The plate can be treated as that the known forces are acting on the upper surface, and the contact pressure from soil can be represented as the deflection. So that only the plate needs to be divided into elements in the analysis. By this method, a series of vibration problems, including various shapes and rigidities of foundations, different excitation frequencies, were analyzed. Furthermore, it can be used for the embedded foundation. The numerical examples show that this method has simplicity, highly accurate and versatile. It is an effective method for the dynamic analysis of foundations. 相似文献