摘要
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Pt3/x2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。
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 Px/t 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.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第6期1756-1762,共7页
Journal of Central South University:Science and Technology
基金
中国博士后科学基金资助项目(2005037231)
关键词
纤维增强混凝土
裂纹
桥联
自相似方法
解析解
fibre strengthen concrete
crack
bridging fiber
self-similar approaches
analytical solutions
