摘要
利用建立的纤维增强混凝土的动态裂纹模型,将桥联处用载荷代替.当裂纹扩展时,纤维连续地开裂.利用复变函数论的方法,将所讨论的问题转化为Remann-Hilbert问题.通过自相似方法,求得了扩展裂纹的坐标原点分别受到常数载荷、阶跃荷载作用下位移、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 concrete already built up,bridging fiber segment is substituted by loads.When a crack propagates its fiber continues to break.By the approaches of the theory of complex functions,the problems dealt with can be translated into Remann-Hilbert problems.Analytical solutions of the displacements,stresses and dynamic stress intensity factors under the action of constant and unit-step loads situated at the origin of the coordinates of propagation crack,respectively,are attained by self-similar measures.After those analytical solutions are utilized by superposition theorem,the solutions of arbitrary complex problems can be obtained.
出处
《西安建筑科技大学学报(自然科学版)》
CSCD
北大核心
2008年第4期462-468,共7页
Journal of Xi'an University of Architecture & Technology(Natural Science Edition)
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
桥连
自相似方法
解析解
fibre concrete
crack
bridge
self-similar measures
analytical solutions.