含圆孔拉伸板的近场动力学数值模拟  

THE NUMERICAL SIMULATION OF TENSILE PLATE WITH CIRCULAR HOLE USING PERIDYNAMIC THEORY

作　　者：谷新保[1] 周小平[1] 

机构地区：[1]重庆大学土木工程学院,重庆400015

出　　处：《固体力学学报》2015年第5期376-383,共8页Chinese Journal of Solid Mechanics

基　　金：973课题(2014CB046903);国家自然科学基金项目(51325903;51279218);重庆市自然科学基金院士专项(cstc2013jcyjys30002);教育部博士点专项基金(20130191110037)资助

摘　　要：首先推导了非普通状态为基础的近场动力学基本方程,引入损伤理论.在对非普通状态为基础的近场动力学基本方程进行离散化后,编制了非普通状态为基础的近场动力学数值分析程序.利用非普通状态为基础的近场动力学理论对圆孔拉伸板的断裂和非断裂问题进行了数值模拟.数值结果表明近场动力学理论不仅能模拟非断裂问题,也能模拟断裂问题,而且该方法不需要借助任何外部断裂准则就能很好地模拟裂纹的扩展和连接过程,相对于其它的数值模拟方法具有很大的优势,同时它也为材料断裂问题提供了一种新方法和新思路.The governing equations of non-ordinary state-based peridynamic theory are deduced,then damage is introduced.After the basic equations of non-ordinary state-based peridynamic theory are discretized,a computational program is coded.By using this newly developed program,the plate with a circular hole under tension is modeled.The numerical results show that it can analyze the fracture/non-fracture problem of the plate containing a circle hole.Compared with the other numerical methods,the non-ordinary state-based peridynamic theory can capture the propagation and coalescence of cracks without an outer fracture criterion being needed.Therefore,it offers a new method to simulate the fracture of materials.

关 键 词：近场动力学理论 圆孔拉伸板 数值模拟 

分 类 号：O346.5[理学—固体力学]