增加荷载作用下纤维增强混凝土的动态断裂研究

利用建立的纤维增强混凝土动态裂纹模型,将桥联处用载荷表示,当裂纹扩展时,纤维连续开裂.研究结果表明:利用复变函数论方法,将所讨论的问题转化为Riemann-Hilbert问题;通过自相似方法,求得纤维增强混凝土的动态扩展裂纹的坐标原点分别在增加载荷Px/t和Pt~3/x~2作用下的位移、应力和动态应力强度因子的解析解.利用这些解并采用叠加原理,就可以求得任意复杂问题的解.

Dynamic fracture concerning fibre strengthen concrete under actions of increasing loads

Applying the dynamic crack model of fibre strengthen concrete, bridging fiber segment was represented by loads. When a crack propagates, its fiber continues to break. The results show that using the theory of complex functions, the problems discussed can be easily translated into Riemann-Hilbert problems. Analytical solutions of the displacements, stresses and dynamic stress intensity factors under the action of increasing loads Pxlt and Pt~3/x~2 situated at the origin of the coordinates of propagation crack, are gained by self-similar approaches. After those analytical solutions are utilized by superposition theorem, the solutions to arbitrary complex problems can be obtained.