纯弯矩作用下非贯穿直裂纹管局部柔度分析研究  

Analysis and study of local flexibility due to straight part-through crack under pure bending in a pipe

作　　者：朱彤[1] 刘朵[1] 胡家顺[1] 周晶[1] 

机构地区：[1]大连理工大学海岸和近海工程国家重点实验室,辽宁大连116024

出　　处：《大连理工大学学报》2011年第3期406-411,共6页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(50978044)

摘　　要：基于应变能释放率原理与线性断裂力学理论,把裂纹与外力成任意角的非贯穿直裂纹管的裂纹截面划分为一系列独立的宽为dx的矩形微元体,按照平面裂纹梁理论计算每个矩形微元体裂纹区域的附加应变能,并根据卡式定理积分得出总体应变能,推导了非贯穿直裂纹管在纯弯矩作用下的局部柔度方程.采用适应性Simpson方法编写了数值积分程序,并通过对比Naniwadekar等的试验结果,验证了推导的纯弯矩作用下非贯穿直裂纹管局部柔度系数的合理性.The local flexibility equations of a pipe under pure bending which contains a crack at any angle are established using the strain energy release rate（SERR） theory and linear fracture mechanics.The cracked circle cross section is considered to be divided into strips of width dx which are independent of each other.The additional strain energy of each strip is calculated,and the compliance is obtained by integrating along the crack tip using Castigliano′s theorem.The adaptive Simpson quadrature method is applied to calculating the local flexibility due to crack.The experimental results provided by Naniwadekar,et al.are given to verify the validity of the local flexibility equations of a pipe with straight part-through crack under pure bending.

关 键 词：裂纹 损伤 应变能释放率原理 局部柔度 任意角度 

分 类 号：O346[理学—固体力学]