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黄丹,卢广达,章青.准静态变形破坏的近场动力学分析
A peridynamic study on quasi-static deformation and failure[J].计算力学学报,2016,33(5):657~662
准静态变形破坏的近场动力学分析
A peridynamic study on quasi-static deformation and failure
A peridynamic study on quasi-static deformation and failure
投稿时间:2015-04-27  修订日期:2015-09-19
DOI:10.7511/jslx201605001
中文关键词:  准静态  变形  破坏  数值模拟  近场动力学
英文关键词:quasi-static  deformation  failure  numerical simulation  peridynamics
基金项目:国家自然科学基金(51209079,11132003,11372099);中央高校基本科研业务费(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.
作者单位E-mail
黄丹 河海大学 工程力学系, 南京 210098 danhuang@hhu.edu.cn 
卢广达 河海大学 工程力学系, 南京 210098  
章青 河海大学 工程力学系, 南京 210098  
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中文摘要:
      基于近场动力学理论,提出新的更能反映非局部长程力特性的物质点间作用力函数,并通过在物质点运动方程中引入局部阻尼、构造分级加载算法和系统失衡判断准则,实现了采用统一的近场动力学模型和算法进行从准静态变形、裂纹萌生和扩展直至结构破坏全过程的连续模拟和准确定量计算。
英文摘要:
      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.
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