考虑Reissner效应的功能梯度柱壳裂纹高阶渐近场

针对考虑Reissner效应的功能梯度柱壳裂纹问题,通过分离变量和级数展开法构造广义位移函数,求得了裂纹尖端高阶渐近场。结果表明：该解类似于Williams解,为此类问题的特征函数,能够描述此类材料各种含裂纹结构的整个应力场和位移场;材料非均匀性对高阶项有显著影响。     

压电材料中的共线非等长多裂纹问题

建立了横观各向同性压电材料中的共线非等长多裂纹模型。将裂纹模拟为连续分布的广义位错,推导了单点广义位错的格林函数,并基于此得到了共线非等长多裂纹的奇异积分方程组,最后由数值计算给出了裂纹尖端的能量释放率。对奇异积分方程组的退化分析和对称条件下的数值结果的讨论,验证了本文结果的正确性。研究表明:当共线裂纹间距小于裂纹长度时,裂纹尖端场存在显著的干涉效应;裂纹越长,干涉效应越显著;电载荷系数越大,能量释放率也越大;相对于外侧尖端而言,共线裂纹内侧尖端对电载荷系数更为敏感。     

奇异积分方程在裂纹板条动态断裂分析中的应用(I)

利用积分变换方法,将含Ｇｒｉｆｉｔｈ裂纹的无限长板条问题转化为Ｌａｐｌａｃｅ变换域中一Ｃａｕｃｈｙ型奇异积分方程。通过求解奇异积分方程和对裂纹尖端场的渐近分析,获得了Ｌａｐｌａｃｅ变换域中的动态应力强度因子。     

双材料界面裂纹的加料有限元方法

为解决求解双材料界面裂纹应力强度因子等断裂参量的困难,在常规单元位移模式中引入界面裂纹尖端位移场,构建加料界面裂纹单元和过渡单元的位移模式,推出了加料有限元方程。采用不同的加料单元和过渡单元配置方案,建立了方形板中心界面裂纹和矩形板单边斜界面裂纹的加料有限元模型,求解有限元方程直接得到应力强度因子,与解析解的结果对比,表明该方法具有较高的精度,可方便地推广应用于界面裂纹的计算分析中。     

两种粘弹塑性材料中Ⅲ型界面裂纹的断裂特性分析

将Dugdale Barenblatt模型推广应用于两种粘弹塑性材料之间裂纹问题的分析 ,对沿切向具有跳跃边界条件的边值问题的控制方程进行富里叶变换 ,然后用逐段定积分变换方法 ,将该边值问题转化为奇异积分方程组。解方程后计算了裂纹尖端塑性区尺寸及裂纹尖端张开位移COD ,给出了应变能释放率算式。结果表明 ,裂纹尖端塑性区尺寸和COD均决定于两种材料的最小屈服极限τs,COD随时间的增长而作先快后慢的增长     

金属泡沫断裂韧性的试验研究

金属泡沫在其实际应用中,断裂性能和断裂韧性对于承载的多孔金属泡沫有着重要的意义。基于美国试验材料学会相关标准,采用三点弯曲试样测定了铝泡沫的I型断裂韧性。研究表明,金属泡沫的断裂为脆性断裂,在裂纹尖端附近,孔壁最薄弱的区域最容易发生变形;随着进一步加载,一些孔壁发生断裂,微裂纹在断裂尖端附近出现。随着载荷的增加,主裂纹在缺口根部形成或由微裂纹合并而成,并开始在多孔结构内传播。裂纹沿着结构最薄弱处传播,并产生次生裂纹和裂纹桥。裂纹总的扩展方式还是I型断裂。根据试验P-V曲线特点,取最大载荷点对应的力与位移求解出铝泡沫的裂纹尖端临界张开位移的平均值为0.051 mm。     

非均布应力场中内埋裂纹的应力强度因子

在内埋裂纹线性线弹簧模型的基础上,通过引入二维权函数将裂纹面上的非均布载荷进行均布化等效,求解了中心内埋椭圆形裂纹在沿板厚非均匀分布应力场中的应力强度因子,列出了问题的奇异积分方程,利用Gauss-Chebyshev方法求解了在4种应力场分布情形下的数值结果,并与已有文献的解进行了比较,当a0/c0 ＜0.4、a0/h≤0.3时,两者结果具有较好的一致性,表明了本文方法的合理性和可靠性.     

预估高强钢纤维砼断裂过程的模型

本文介绍了一种基于权函数法的、用来估算不同钢纤维和体积含量的高强钢纤维砼切口梁韧性的解析模型。裂纹开口张开位移ＣＭＯＤ、裂纹尖端张开位移ＣＴＯＤ和Ｊ积分可能通过迭代处理得到。     

梁在拉伸力和弯曲力矩联合作用下的动态塑性断裂

本文采用刚塑性分析方法,研究了韧性材料带裂纹有限长梁在轴向拉伸力和弯曲力矩联合作用下的全塑性断裂过程,其外加轴向拉伸力和弯曲力矩为准静态加载,并在梁的断裂过程中保持不变,为定常载荷。在外力作用下,梁的断裂截面首先进入塑性变形,当裂纹尖端张开位移 CTOD 达到其材料临界值时,裂纹将启裂扩展。本文考虑了应变率对断裂过程的影响,给出了梁在断裂过程中其裂纹扩展长度,裂纹扩展速度以及断裂截面上的轴向抗力和弯曲抗力随时间的变化规律,并比较了在不同轴向拉伸力作用下梁的动态塑性断裂过程的变化,说明了轴向作用力对梁的断裂过程的影响。     

分布载荷作用下多铁性圆柱复合材料的断裂分析

针对多铁性圆柱复合材料因其外表面上存在不同类型的轴向分布载荷而出现的界面裂纹问题,建立了断裂力学分析模型。首先利用分离变量法和无穷级数法推导出该模型的Cauchy奇异积分方程组,然后利用Lobatto-Chebyshev配点法离散该方程组为代数方程组,进而得到裂纹尖端应力强度因子(Stress Intensity Factor,SIF)的数值解。通过对数值结果的分析得到:在不同类型的分布载荷作用下,压电层厚度以及分布载荷大小是影响裂纹尖端SIF的主要因素。该研究结果可为此类复合材料在实际工程应用中的防断裂优化设计提供理论参考。     

钢筋钢纤维混凝土既有裂缝梁中钢纤维阻裂作用有限元分析

通过建立钢筋钢纤维混凝土既有裂缝梁和钢筋混凝土既有裂缝梁的有限元分析模型,借助ANSYS分析了两种梁在荷载作用下的裂缝尖端处应力、裂缝宽度增幅和挠度并作出对比。分析结果表明钢纤维对裂缝开展有很好的阻止作用,而且能明显缓和裂缝尖端处应力,减小梁的挠度。     

线粘弹性材料中三维裂纹问题的加料有限元法

将加料有限元法扩展应用于线粘弹性材料三维断裂问题.为了反映裂纹尖端的奇异性,在裂尖附近的奇异区采用若干八节点六面体加料单元和过渡单元,非奇异区采用常规八节点六面体单元.三种单元分区混合使用形成求解域网格划分.基于Boltzmann叠加原理,推导了粘弹性材料的增量型本构关系,进而获得了增量加料有限元列式,并通过附加自由度计算粘弹性介质中裂纹应变能量释放率.数值算例验证了方法的正确性和有效性.     

Development of multi-physics numerical simulation model to investigate thermo-mechanical fatigue crack propagation in an autofrettaged gun barrel

In this research, a detailed multi-physics study has been carried out by numerically simulating a solid fractured gun barrel for 20 thermo-mechanical cycles. The numerical model is based on thermal effects, mechanical stress fields and fatigue crack mechanics. Elastic-plastic material data of modified AISI 4340 at temperatures ranging from 25 to 1200 °C and at strain rates of 4, 16, 32 and 48 s⁻¹ was acquired from high-temperature compression tests. This was used as material property data in the simulation model. The boundary conditions applied are kept similar to the working gun barrel during continuous firing. A methodology has been provided to define thermo-mechanically active surface-to-surface type interface between the crack faces for a better approximation of stresses at the crack tip. Comparison of results from non-autofrettaged and autofrettaged simulation models provide useful information about the evolution of strains and stresses in the barrel at different points under combined thermo-mechanical loading cycles in both cases. The effect of thermal fatigue under already induced compressive yield due to autofrettage and the progressive degradation of the accumulated stresses due to thermo-mechanical cyclic loads on the internal surface of the gun barrel (mimicking the continuous firing scenario) has been analyzed. Comparison between energy release rate at tips of varying crack lengths due to cyclic thermo-mechanical loading in the non-autofrettaged and autofrettaged gun has been carried out.     

高亚声速时叶尖小翼对压气机叶栅泄漏流动的影响

为了探索跨声速来流条件时,不同安装位置、不同宽度的叶尖小翼对压气机叶栅气动特性的影响,对Ma=0.8时包括原型叶栅在内的7种扩压叶栅的流场进行了数值研究.结果表明:在多种因素的共同影响下,不同来流冲角的吸力面叶尖小翼在流场中都为负效果,增加了流场复杂性;压力面叶尖小翼则改善了泄漏流动,减小了流动损失.两种安装位置的叶尖...     

The deformation and failure mechanism of cylindrical shell and square plate with pre-formed holes under blast loading

The deformation and failure mechanism of cylindrical shells and square plate with pre-formed holes under blast loading were investigated numerically by employing the Ansys 17.0 and Ls-Dyna 971. To calibrate the numerical model, the experiments of square plates with pre-formed circle holes were modeled and the numerical results have a good agreement with the experiment data. The calibrated numerical model was used to study the deformation and failure mechanism of cylindrical shells with pre-formed circle holes subjected to blast loading. The structure response and stress field changing process has been divided into four specific stages and the deformation mechanism has been discussed systematically. The local and global deformation curves, degree of damage, change of stress status and failure modes of cylindrical shell and square plate with pre-formed circular holes are obtained, compared and analyzed, it can be concluded as: (1) The transition of tensile stress fields is due to the geometrical characteristic of pre-formed holes and cylindrical shell with arch configuration; (2) The existence of pre-formed holes not only lead to the increasing of stress concentration around the holes, but also release the stress concentration during whole response process; (3) There are three and two kinds of failure modes for square plate and cylindrical shell with pre-formed holes, respectively. and the standoff distance has a key influence on the forming location of the crack initiating point and the locus of crack propagation; (4) The square plate with pre-formed holes has a better performance than cylindrical shell on blast-resistant capability at a smaller standoff distance, while the influence of pre-formed holes on the reduction of blast-resistant capability of square plate is bigger than that of cylindrical shell.