论文部分内容阅读
应用双剪统一强度理论,研究了I型裂纹的塑性变形问题。给出了包含反映材料拉压性能差异的参数拉压比及反映中间主应力效应的参数b的I型裂纹裂尖塑性区形状和大小的统一解。已有的Tresca准则、Mises准则和Mohr-Coulomb准则解均是本文的特例或线性逼近。针对混凝土结构,画出了不同参数b情况下的裂尖塑性区半径变化图。得出了材料拉压比对I型裂纹裂尖塑性区影响很大。b对I型裂纹裂尖塑性区影响随拉压比的不同而不同,拉压比较大时,b对塑性区影响大,拉压比较小时,b对塑性区影响小的结论。该统一解可以适应于各种不同材料,能充分发挥材料潜力,具有普遍性和广泛的适应性,有一定的工程应用价值。结论对于研究各种材料的断裂问题有参考作用。
Applying the double shear unified strength theory, the plastic deformation of type I crack is studied. The unified solution to the plastic zone shape and size of cracked I-crack is given, which includes the parameters of tension-compression ratio and parameter b that reflect the effect of intermediate principal stress. The existing Tresca criterion, Mises criterion and Mohr-Coulomb criterion solution are the special cases or linear approximations of this paper. According to the concrete structure, the change of the radius of the plastic zone in the crack tip with different parameters b is plotted. It is concluded that the ratio of material tension and compression has a great influence on the plastic zone of crack tip. b on the I-type crack crack tip plastic zone with the tension and compression ratio of the different and different tension and compression ratio, b, a large impact on the plastic zone, the tension and compression ratio is small, b, the plastic zone has little effect. The unified solution can be adapted to a variety of different materials, can give full play to the potential of materials, has universal and extensive adaptability, and has certain engineering application value. Conclusion for the study of a variety of materials fracture problems have a reference.