冲击载荷作用下动态应力强度因子的迭加积分法  

SUPERPOSITION INTEGRAL METHOD FOR DERIVING STRESS INTENSITY FACTOR UNDER IMPACT LOADING

作　　者：戴峰[1] 王启智[1] 

机构地区：[1]四川大学土木力学系,成都610065

出　　处：《振动与冲击》2005年第3期89-95,i009,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(40172049)

摘　　要：介绍利用线性时不变系统求响应的迭加积分法(杜阿美尔积分)求解带裂纹构件的线弹性动态应力强度因子。即先求出结构的单位冲激响应,再与载荷做卷积求得总的响应;或者先计算出单位阶跃响应,再与载荷的微分做卷积来求得总的响应。理论和计算都证明了这两种迭加积分法的精度。在动态起裂韧度测试实验中,特别是用实验-数值法要处理同一组试样的大量实验数据,应用迭加积分法可以有效的避免数值求解的重复计算,减少计算量。The superposition integral method used for getting response of linear time-independent system to solve the dynamic stress intensity factor for the cracked structure is introduced. The procedure may be first to get the unit impulse response of structure, then to make convolution integral convolution integral with the differential coefficient of load. The accuracy of the superposition integral method is proved theoretically and numerically. In the test of dynamic initiation-fracture toughness, especially in the experimental-numerical method dealing with the test data for the same set of specimens, the superposition integral method can avoid repeated numerical calculations efficiently and reduce the computational work.

关 键 词：动态应力强度因子 积分法 冲击载荷作用 迭加 线性时不变系统 单位冲激响应 单位阶跃响应 测试实验 起裂韧度 实验数据 重复计算 数值求解 线弹性 数值法 计算量 卷积 裂纹 微分 试样 

分 类 号：O346.1[理学—固体力学] O172.2[理学—力学]