摘要
使用垂直剖面法测量平面应变条件下断裂表面不同方向剖面的分形维数。实验表明,沿着裂纹扩展方向剖面 Koch 曲线的分形维数 D_1与lgK_(1c)之间是正变化的线性关系,垂直于裂纹扩展方向剖面的分形维数 D_2与lgK_(1c)之间是反变化的线性关系,(D_1+D_2)与lgk_(1c)之间是一个不敏感的正变化的线性关系。
The vertical section method is employed to measure fractal dimensions ofcross section profile of fractured surfaces under plane strain conditions.It is shown that thevertical section method could describe further the roughness of fractured surfaces as com-pared with slit island method.The fractal dimensions of fracture Koch curve along the di-rection of crack propagation D_1 are different from that,perpendicular to the direction ofcrack propagation D_2 A positive linear correlation between the fractal dimension D_1 and1g K_(lc)is obtained.A negative linear correlation between fractal dimension D_2 and 1gK_(1c)isobtained.However,the correlation between(D_1+D_2)and log K_(1c)is a positive linear one.The reason why the fractal D_1 and D_2 are different is discussed.
基金
国家自然科学基金
5880056
关键词
断裂表面
分形结构
金属断裂
fractal dimension
yardstick
fracture toughness
fracture surface
