平台圆盘对径压缩的一个位移解

用半解析半经验的方法推出圆盘对径压缩的一个位移解，该公式可以估算力作用点有微小平台时直径的压缩位移。解析方法采用集中力对径压缩完整圆盘的直径上的应变求积分算压缩位移，但部分项积分的上限离开直径端点有微小距离，这相当于圆盘上有平台。再对所推公式做经验性修正。所推公式不仅形式简单，而且有良好的精度，与有限元计算结果比较误差不大于3．6％。最后给出从材料各向同性到正交异性的推广情况。     

正交异性双材料非弹性主方向裂纹尖端应力场

研究了正交异性双材料非弹性主方向界面裂纹问题。利用转轴变换公式,在特征方程组的判别式都大于零时,给出了正交异性双材料非弹性主方向界面裂纹应力场和位移场理论解表达式。     

双材料非弹性主方向半无限界面裂纹应力场

利用坐标轴不平行于弹性主方向的应力、应变变换公式,并结合复合材料断裂复变方法,对正交异性双材料非弹性主方向半无限界面裂纹问题进行了研究,得到了用弹性主方向坐标系工程参数表示界面裂纹尖端的应力场、位移场。并给出双材料参数对半无限界面裂纹尖端应力场的影响规律。     

双材料混合型界面裂纹尖端应力场、位移场

研究了正交异性双材料中心穿透界面裂纹问题。在特征方程组的判别式都小于零的情形下,求解一类广义重调和方程组边值问题,通过构造新的应力函数,推出了Ⅰ型、Ⅱ型、混合型界面裂纹尖端的应力场、位移场及应力强度因子的解析表达式。其结果没有振荡奇异性及裂纹面没有相互嵌入现象,当上下半平面材料参数相同时,可获得正交异性单材料的应力场、位移场。     

正交异性粘弹性材料Ⅰ型裂纹尖端场研究

研究正交异性粘弹性材料在对称载荷作用下,裂纹尖端的应力与位移分布。首先利用La—place积分变换法,将正交异性粘弹性问题转化为拉普拉斯空间的正交异性弹性问题进行求解;其次,在正交异性弹性材料板裂纹尖端解的基础上,利用准静态粘弹性-静态弹性对应原理,得到Laplace域内正交异性粘弹性裂纹尖端的解;最后采用F-Durbin数值方法将其作逆变换,求得正交异性粘弹性材料Ⅰ型裂纹尖端的数值解。通过在力作用开始时的粘弹性解与相同条件下的弹性解进行对比,表明采用F-Durbin数值反演方法可以得到更精确的解。     

纯弯正交异性双材料界面裂纹尖端应力场研究

研究了受纯弯曲载荷作用的正交异性双材料界面裂纹尖端附近的应力场问题。通过复合材料断裂复变方法,构造特殊挠度函数,将控制方程化为广义重调和方程组,基于边界条件得到了两个八元齐次线性方程组,在判别式Δ1>0,Δ2>0的情形下,推出了含两个实奇异指数的应力函数并得到了界面裂纹尖端附近的弯矩、扭矩和应力的计算公式。作为特例,当上下半平面材料相同时,可以得到纯弯正交异性单材料裂纹尖端应力场。并利用有限元算例分析验证了理论结果的正确性。     

双材料非弹性主方向半无限界面裂纹断裂分析

研究了正交异性双材料非弹性主方向界面裂纹问题,利用坐标轴不平行于弹性主方向的转轴变换公式,结合复合材料断裂复变方法,在特征方程组的判别式都小于零时,得到了正交异性双材料非弹性主方向半无限界面裂纹尖端应力场的理论解。并给出双材料参数对界面裂纹尖端应力场的影响规律。     

预制裂缝宽度对变尺寸圆盘试样应力强度因子的影响

为研究了预制裂缝宽度对不同尺寸圆盘试样无量纲应力强度因子的影响,采用ABAQUS有限元软件,对圆盘直径分别为40,80,100,120,200 mm,预制裂缝宽度0~2.0 mm内的直裂缝平台巴西圆盘试样进行数值分析,基于等效区域积分法标定了在裂缝长度与圆盘直径比为0.55条件下的无量纲应力强度因子。结果表明,在圆盘直径一定条件下,无量纲应力强度因子随着裂缝宽度增加而增加,最大相对误差为13.53%;随着圆盘直径增大,预制裂缝宽度带来的影响相对减弱,但最大相对误差仍然超过3%。给出了消除预制裂缝宽度影响的无量纲应力强度因子修正公式,为采用含有预制裂缝的圆盘试样准确确定岩石的断裂韧度提供理论支持。     

正交异性双材料平面平板搭接界面端应力场

通过构造特殊应力函数,利用复合材料断裂复变方法,对正交异性双材料平面平板搭接界面端问题进行了研究,在特征方程组的判别式Δ1〉0和Δ2〈0的情形下,推出了平板搭接界面端的应力强度因子、应力场及位移场的理论公式,其结果没有振荡奇异性及裂纹面没有相互嵌入现象。     

正交异性岩石中的地震波

本文基于岩石是各向异性介质的事实，分析并比较了地震波在正交异性岩石和各向性岩石中的传播，提出了以复合材料作为建筑物地基的防震抗震工程设计思想。     

复合型加载条件下扁平巴西圆盘应力强度因子计算方法

复合型裂纹的研究具有重要的工程实用价值。使用解析分析与有限元数值分析相结合的方法,对复合型加载条件下扁平巴西圆盘试件的应力强度因子进行了系统的分析。计算结果表明:在一定载荷分布角范围内,可使用分布载荷作用下巴西圆盘应力强度因子的公式去计算扁平巴西圆盘试件的应力强度因子;在断裂力学中圣维南原理依然成立。根据计算结果,推荐在扁平巴西圆盘断裂实验中使用载荷分布角为7.25°的扁平巴西圆盘试件。     

3-D distribution of tensile stress in rock specimens for the Brazilian test

It is claimed that the formula used for calculating the tensile strength of a disk-shaped rock specimen in the Brazilian test is not accurate, because the formula is based on the 2-dimensional elastic theory and only suitable for very long or very short cylinders. The Matlab software was used to obtain the 2-dimensional distribution of stress in the rock specimen for Brazilian test. Then the 2-dimensional stress distribution in Brazilian disk was analyzed by the Marc FEM software. It can be found that the results obtained by the two software packages can verify each other. Finally, the 3-dimensional elastic stress in the specimen was calculated. The results demonstrate that the distribution of stress on the cross section of the specimen is similar to that in 2-dimension. However, the value of the stress on the cross section varies along the thickness of the specimen and the stress is bigger when getting closer to the end of the specimen. For the specimen with a height-to-diameter ratio of 1 and a Poisson＇s ratio of 0.25, the tensile strength calculated with the classical 2-D formula is 23.3% smaller than the real strength. Therefore, the classical 2-D formula is too conservative.     

Hamiltonian system for orthotropic plate bending based on analogy theory

Based on analogy between plane elasticity and plate bending as well as variational principles of mixed energy, Hamiltonian system is further led to orthotropic plate bending problems in this paper. Thus many effective methods of mathematical physics such as separation of variables and eigen-function expansion can be employed in orthotropic plate bending problems as they are used in plane e-lasticity. Analytical solutions of rectangular plate are presented directly, which expands the range of analytical solutions. There is an essential distinction between this method and traditional semi-inverse method. Numerical results of orthotropic plate with two lateral sides fixed are included to demonstrate the effectiveness and accuracy of this method.     

Impact Failure of Flattened Brazilian Disc with Cracks——Process and Mechanism

Split Hopkinson pressure bar (SHPB) has been used to study the dynamic failure pattern of flattened mortar Brazilian disc under impact load.Each disc contains several prefabricated cracks paralleled to each other.Dynamic FEM has also been adopted to simulate such failure behavior.The mechanism of crack initiation,propagation and cut-through have been scrutinized with both experimental and numerical approaches.Influence of the number of the prefabricated cracks on the specimen strength and acoustic emission (AE) performance can be observed and studied.The results show that the strength decreases and AE counts increases,when the number of the prefabricated cracks increases.