碳纤维布加固钢结构的边界元法分析  

ANALYSIS OF STEEL STRUCTURES STRENGTHENED WITH CFRP SHEETS BY BOUNDARY ELEMENT METHOD

作　　者：程长征[1] 牛忠荣[1] 胡宗军[1] 

机构地区：[1]合肥工业大学土木与水利工程学院,合肥230009

出　　处：《钢结构》2008年第6期48-50,76,共4页Steel Construction

基　　金：教育部博士学科点基金(20050359009);安徽省自然科学基金(050440503);合肥工业大学科学发展基金(080802F)资助项目

摘　　要：常规边界元法在分析碳纤维布(CFRP)加固钢结构时,由于遭遇几乎奇异积分的计算困难而失效。通过反复运用分部积分的方法,用解析表达式代替了几乎奇异积分的数值计算,使得边界元法可以分析含薄体结构。以CFRP加固两端受均匀拉伸的钢板为例,将加固结构分成3个子域,利用边界元法分析加固强度。计算结果表明,在给定的不同外载作用下,CFRP、粘结剂和钢板所受的正应力都没有超过各自的拉伸强度极限,而粘结剂受到剪切破坏使得CFRP与钢板发生剥离,使得加固失效。结果还表明,处理了几乎奇异积分的边界元法运用较少的单元就可以准确获得界面应力。Due to the difficulty of calculating for the nearly singular integrals, conventional boundary element method （BEM） failed to evaluate the strength of steel structures strengthened with CFRP. The analytical formulations were proposed to deal with the nearly singular integrals in BEM by means of integrals by parts. Thus, BEM could be used to analyze the structures with thin bodies such as CFRP and binder. The steel plate strengthened with CFRP in uniform tension at two ends was numerically modeled . The structure was departed into three subdomains, and the interracial stresses at each domain were obtained by the BEM. Results show that： 1） fewer discretized elements were used in present method in comparing with the conventional BEM and finite element method. 2） in different loading cases, the normal stresses of CFRP, binder and steel plate were under the strength limitation, respectively. 3）the shear stress of the binder was over the shear strength limitation. It was the sheared breakage of the binder that caused the debonding of CFRP from the steel plate.

关 键 词：碳纤维布 粘结剂 边界元法 几乎奇异积分 界面应力 

分 类 号：TU391[建筑科学—结构工程]