A SIMPLE METHOD OF DETERMINING STRESS INTENSITY FACTOR K_I FROM ISOCHROMATIC FRINGE LOOPS

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On the calculation of stress intensity factor K for frame components

The stress intensity factorK in the tip of crack which is in the corner of the frame component has been calculated indirectly by means of numeric calculation ofJ Integral. Some laws and relationships among the stress intensity factorK, the applied loads and the crack length for this kind of components have been discovered for the first time. The calculating formula forK has been deduced, the criticalK has been calculated with the formula, that is 5 811.56–6 122.58 MPa · mm^1/2. The conclusions reached in this paper are of great referential and practical value for simplifying the calculation of stress intensity factorK for this type of components. Project supported by Technological Development Foundation of the Nonferrous Metal Industry Corporation of China Synopsis of the first author Liu Yilun, Doctor, associate professor, born in Oct. 30, 1955. Research areas are fatigue strength of component and the technology of continuous casting for non-ferrous metal.     

扩展有限元法求解应力强度因子

在常规有限元单元形函数中加入模拟裂纹不连续位移场的跳跃函数,在裂纹尖端构造反映位移场奇异性的裂尖增强函数,采用相互作用积分法求得裂尖应力强度因子．算例结果表明,扩展有限元方法在分析断裂力学问题时具有计算精度高,对有限元网格依赖性小,操作简便等优点．     

斜裂纹应力强度因子的有限元计算及分析

介绍和讨论了斜裂纹应力强度因子的有限元分析方法，分别计算了单轴、双轴压缩下有限大板中存在的中心贯穿斜裂纹的应力强度因子．通过对求得的应力强度因子值与解析解的比较，表明用有限元法计算应力强度因子具有相当高的精度．同时，通过对不同倾角的裂纹尖端应力强度因子的计算，分析得到了裂纹倾角对应力强度因子的影响，为斜裂纹在复杂载荷作用下的断裂判据的计算提供了有效的方法。     

分域边界元法双映射奇异元计算应力强度因子

边界单元法是一种很有效的数值计算方法,目前在很多工程领域的数值分析中都有了广泛的应用,并取得了很好的效果.用它来求解裂纹尖端的应力强度因子就是这种方法在断裂力学中非常成功而有效的应用.文中简单介绍线性单元的分域边界单元法的相关公式,并引入双映射奇异单元,分析了带单边斜裂纹的单向拉伸板的应力强度因子.计算的结果与其他解比较表明:这种方法效果很好,有较高的计算精度.     

I-II-III复合型裂缝应力强度因子与能量释放率的关系

基于断裂力学理论,应用复合型断裂判据中的最大周向应力判据和最大拉应变判据,以单一型裂缝应力强度因子K与能量释放率G的关系为基础,推导出I-II-III复合型裂缝应力强度因子K_I、K_II、K_III与能量释放率G_I-II-III关系公式;并应用有限元软件进行I-II-III复合型裂缝的有限元模拟,模拟值与理论值之间相差为1.14%,拟合良好,分析验证了复合型裂缝应力强度因子K_I、K_II、K_III与能量释放率G_I-II-III关系公式的合理性。     

钢桥面板—纵肋双面焊缝疲劳裂纹应力强度因子

双面焊有望改善顶板—纵肋焊接构造细节的疲劳抗力,而初始焊接缺陷是影响该类构造细节疲劳性能的关键因素。基于断裂力学理论,采用FRANC3D-ABAQUS交互技术建立了含初始裂纹的钢桥面板多尺度有限元模型,研究顶板—纵肋连接焊缝疲劳裂纹应力强度因子。分析了焊缝熔透率、顶板厚度、初始裂纹形状比等对双面焊缝疲劳裂纹应力强度因子的影响规律。结果表明：钢桥面板—纵肋连接焊缝细节处疲劳裂纹为Ⅰ型主导的Ⅰ-Ⅱ-Ⅲ复合型疲劳裂纹;双面焊缝顶板焊根处疲劳裂纹应力强度因子最大值比单面焊缝小64.3%,改善了顶板—纵肋焊缝的疲劳性能;焊缝熔透率对顶板—纵肋双面焊接细节疲劳裂纹应力强度因子影响较小;加厚顶板显著降低了顶板—纵肋双面焊接细节疲劳裂纹应力强度因子;随着初始裂纹形状比增大,裂纹应力强度因子减小。     

钢框架节点焊缝应力强度因子的参数分析

为定量地确定荷载作用下钢框架梁柱节点焊缝应力强度因子的大小，提出了断裂力学与有限元分析相结合的方法.有限元分析采用ANSYS软件.判断焊缝开裂的依据是Ⅰ型应力强度因子，应力强度因子通过积分的方法求得.通过有限元计算分析了初始裂缝深度对梁柱节点焊缝应力强度因子的影响,所分析的参数还包括梁截面尺寸、柱截面尺寸、梁柱长度和焊脚尺寸.分别研究了梁上翼缘和下翼缘焊缝的应力强度因子随参数的变化情况.参数分析结果表明，梁下翼缘焊缝比上翼缘更容易开裂，应力强度因子与梁截面参数是增函数关系，与柱截面参数是减函数关系.最后，得出了应力强度因子计算公式.     

Stress distribution and effective stress intensity factor of a blunt crack after dislocation emission

The stress fields induced by a dislocation and its image dislocations around a narrow elliptic void are formulated. Based on the solution, the stress distribution and effective stress intensity factor of a blunt (elliptic) crack were calculated under mode I constant loading. The results show that a dislocation-free zone (DFZ) is formed after dislocation emission. There exists a second stress peak in the DFZ except a stress peak at the blunt crack tip. With an increase in the applied stress intensity factor Kla or the friction stress T, of the material, the DFZ size and the peak stress at the crack tip decrease, but the peak stress in the DFZ and the effective stress intensity factor Klf presiding at the crack tip increase. Because of dislocation shielding effects, shielding ratio Kla/Klf increases with increasing Kla, but it decreases with increasing Tf.     

应用无网格伽辽金法模拟疲劳裂纹扩展问题

无网格伽辽金法(EFGM)是近年来兴起的无网格法的一种,与传统的有限元等数值计算方法相比,它只需要节点信息和计算域的几何边界.由于不需要网格重构,裂纹扩展只需要通过自由裂纹面的延伸来模拟,这大大简化了裂纹模拟的过程.本文综述了EFGM在疲劳裂纹扩展中的应用,对扩展基的使用、权函数的选择及裂纹扩展的模拟方法和动态应力强度因子的计算进行了论述     

Elastodynamic stress intensity factor due to three-dimensional concentrated transient loading on the faces of a crack

The dynamic stress intensity factor for a semi-infinite crack in an otherwise unbounded elastic body is analyzed The crack is subjected to a pair of suddenly applied point loads on its faces at a distance l away from the crack tip The solution of the problem is obtained by superposition of the solutions of two simpler problems. The first of these problems is Lamb' s problem, while the second problem considers a half space with its surface subjected to the negative of the normal displacement induced by Lamb's problem in the range x>0. The latter is solved by means of integral transforms together with the application of Weiner-Hopf technique and Cagniard-de Hoop method. An exact expression is derived for the mode I stress intensity factor as a function of time for any point along the crack edge. Some features of the solution are discussed.     

基于新型流形法的三维应力强度因子求解

为保证在裂纹尖端具有最佳的逼近,裂纹尖端的解析解与其周边数值解联合应用的新型流形法可用来求解应力强度因子,但仅限于平面问题的Ⅰ型和Ⅱ型裂纹.沿用解析解与数值解联合应用的思路,以三维穿透直裂纹为研究对象,在裂纹尖端引入Williams解析解级数,应用解析覆盖与周边数值覆盖联合求解三维应力强度因子,相对于其他数值方法而言,...     

保角映射方法在各向异性板断裂分析中的应用

采用各向异性体平面弹性理论中的复势方法,引用适当的保角变换,研究各向异性板中穿透性直线裂纹的平面弹性问题。借助应力边界条件推出应力函数的表达式,得到Ⅰ型裂纹尖端附近的应力强度因子、应力场及位移场的解析解.     

接管高应变区应力强度因子的计算

针对压力容器接管区处于高应变梯度区和具有严重的应力集中现象的特征,依据模拟试板应力应变场的光弹性试验分析,对接管区建立有限元模型,保证单元的协调性,分析了裂纹尖端处应力强度因子,计算结果表明获得的应力强度因子与试验结果较为吻合,为压力容器接管部位的设计和裂纹疲劳扩展分析提供了参考依据。     

基于流场复势的空间裂纹止裂应力强度因子分析

选择带有圆形埋藏裂纹的金属构件作为研究对象。在向金属构件通入脉冲电流时,可以将金属构件内电流绕圆盘裂纹的流动比作在流体力学平面势流中流体绕平板流动的情况,给出电流流动的复势函数,进而推导出电流密度,据此推求热源功率,最后确定带有圆形埋藏裂纹的金属构件脉冲放电瞬间的热应力强度因子,结合只有外载荷作用下的金属构件裂纹尖端的机械载荷应力强度因子,给出外载荷作用下带有埋藏裂纹金属构件脉冲放电瞬间的综合应力强度因子。     

焦散法求解应力强度因子的非线性最小二乘法

提出了用非线性最小二乘法提高焦散线法求解混合型裂纹应力强度因子的精度.推导了有关方程,编制了有关程序,阐述了实验技术.用三类典型裂纹试件作为应用实例进行了实验与计算.结果表明,用此法可比P.S.Theocaris法求得更准确的结果.     

Microscopic study of mode I crack tip deformation

By simulating edge dislocation emissions from a mode I crack tip along multiple inclined slip planes, the plastic zone and dislocation-free zone around the crack tip are obtained. It is found that the shape of the mode I plastic zone consists of two leaning forward loops which is better agreement with experimental observations. Except at the crack tip there are also stress peaks in front of the crack tip. A formula of the maximum peak stress as a function of the applied stress intensity factor and the friction stress has been regressed.     

双向载荷作用下无限大板中源于正方形孔的分支裂纹的应力强度因子

为研究源于正方形孔的一对分支裂纹问题提出一种边界元法,该边界元方法由Crouch与Starfield提出的常位移不连续单元和裂尖位移不连续单元构成.在该边界元方法的实施过程中,左、右裂尖位移不连续单元分别置于裂纹的左、右裂尖处,而常位移不连续单元则分布于除了裂尖位移不连续单元占据的位置之外的整个裂纹面及其他边界.算例说明,这种边界元法对计算平面弹性复杂裂纹的应力强度因子非常有效.给出的双向载荷作用下无限大板中源于正方形孔的一对分支裂纹的应力强度因子的详细数值结果,可以揭示双向载荷参数对应力强度因子的影响.