中文摘要：

为了研究中心裂纹巴西圆盘试件在压缩载荷作用下T应力的解析计算方法,通过权函数法推导出集中载荷作用下T应力的显式表达式,进而得到分布载荷作用下的T应力表达式。与边界配位法进行对比,所得公式优点在于任意相对裂纹长度和任意加载角下的T应力值都能较容易的精确得到。进一步分析表明,分布载荷与集中载荷作用下T应力的偏差随着载荷分布角的增加而增加。集中载荷作用下,相对裂纹长度固定时,T应力随着加载角的增大而增大。中心裂纹巴西圆盘纯I型与纯II型断裂试验时,大多数情况下的T应力都为负值。T应力值对中心裂纹巴西圆盘测定断裂韧度试验有影响,想要通过使T应力为0来消除这种影响是很难达到目的的。

英文摘要：

In order to investigate the analytical calculation method of T-stress for the central cracked Brazilian disk（CCBD） subjected to the compression, a weight function method is used to derive the explicit expressions of the T-stress for CCBD under concentrated loading and the distributed force loading. Compared with the boundary coordination method, the advantage of the explicit expression is that the T-stress for arbitrary relative crack length and any loading angle can be obtained explicitly and easily. Further analysing results show that the deviation of the T-stress under the distributed force and the concentrated force increases with increasing load distributed angle. At a fixed relative crack length, the T-stress increases with the increasing of loading angle under concentrated force. In most cases, T- stress is negative when the central cracked Brazilian disk is under pure mode I and pure mode II fracture tests. The value of T-stress for CCBD affects the fracture toughness testing, and it is difficult for CCBD to eliminate the influence by reducing the T-stress to zero.