有限宽板中心裂纹断裂过程区的长度和位移公式

对岩石、混凝土和陶瓷等准脆性材料进行断裂分析,有必要研究裂纹前端的断裂过程区所起的作用以及各种因素对它的影响。本文提出分析有限宽中心裂纹板剪切断裂过程区的方法,此方法基于D－B模型的叠加原理,考虑了压剪断裂的摩擦阻力,并将有限板宽影响简化为载荷的修正,以非常简便的方法推导出计算断裂过程区长度和位移的公式,这些公式补充了现有文献只有“无限大”板的解的不足。利用这些公式,分析各种参数对断裂过程区长度和位移的影响变得非常方便。

An Analytical Method to Determine the Displacement and Length of Fracture Process Zone in a Center Cracked Finie-Width Strip

For the fracture analysis o quasi brittle materials such as rock, concrete and ceramics, it is necessary to study the fracture process zone in front of the crack as well as the effect of various influencing factors on it. In this paper, the method for analyzing the shear fracture process zone in a center cracked finite width wtrip is presented in this paper, the method is based on the principle of superposition using Dugdale Barrenblatt model, the effect of shear frictional stress produced during compression shear fracture is considered. The effect of finite width of the strip is considered equivalent to modification of the applied load. Formulas of length and displacement of the fracture process zone are derived with a very simple and effective approach, these formulas supplement the vacancy in the existing references, where only solutions for the counterpart "infinite" plate are available. Based on these formulas, analysis of the effect of various parameters such as load, frictional stress and finite width on the fracture process zone becomes very convenient.