A CATASTROPHE ANALYSIS ON THE STABILITY OF THE CRACK GROWTH IN THREE-POINT BENDING SPECIMENS

This paper presents an attempt at the application of catastrophe theory to the stability analysis of J-controlled crack growth in three-point bending specimens. By introducing the solutions of J-integral in the completely yielding state for the ideal plastic material, the critical condition of losing stability for the crack propagation in the specimen is obtained, based on the cusp catastrophe theory. The process of the crack growth from geometrical sense is described.

两种缺口Q420钢的低温断裂韧度

结合工程应用背景,采用Q420桥梁用钢板,加工成W/B=2、S/W=5的非标准三点弯曲试样,通过线切割和线切割后预制疲劳裂纹两种方式得到相同长度的初始缺口,对其-30℃的低温断裂韧度进行试验研究,分析比较两种缺口试样断裂韧度测试条件值Kq和强度比Rsb,评价具有以上两种缺口时材料对脆性失稳扩展的不同抵抗能力,并求得相应的缺口修正系数;最后,从试样的P—V曲线图和断口分析其中的原因。试验分析结果为Q420钢的具体工程应用提供依据。