计算力学学报2016，Vol.33Issue(5)：657-662,6.DOI:10.7511/jslx201605001
准静态变形破坏的近场动力学分析
A peridynamic study on quasi-static deformation and failure
摘要
Abstract
An improved bond-based material model for the elastic deformation and quasi-static fracture analysis of materials and structures has been proposed within the framework of the peridynamic (PD) theory.This model enables accurately analyzing quasi-static elastic behavior of materials and structures under external loads by implementing a local damping into the peridynamic equations of motion and employing a quasi-static step loading method.The effects of the magnitude of the local damping on the accuracy and efficiency of elastic calculation has also been investigated.Meanwhile,the complex failure phenomena such as spontaneous crack propagation can be predicted as a capability inherited from the peridynamic theory.Thus the whole mechanical response of materials and structures,from elastic deformation to crack initiation and propagation until ultimate breaking,can be analyzed with the identical model.In the proposed model,another important feature lies in the micromodulus of the pair-wise bond, which is described as a continuous function of the distance between two particles within the material horizon,and which is demonstrated to be more accurate compared to the previous PD models using a fixed stiffness constant to describe the interaction of particles.The qualitative and quantitative validities of the model have been established through numerical examples.关键词
准静态/变形/破坏/数值模拟/近场动力学Key words
quasi-static/deformation/failure/numerical simulation/peridynamics分类
数理科学引用本文复制引用
黄丹,卢广达,章青..准静态变形破坏的近场动力学分析[J].计算力学学报,2016,33(5):657-662,6.基金项目
国家自然科学基金(51209079,11132003,11372099) （51209079,11132003,11372099）
中央高校基本科研业务费(2015B18314) （2015B18314）
NSFC-广东联合基金(第二期)超级计算科学应用研究专项资助项目 （第二期）
