A peridynamic study on quasi-static deformation and failure
Received:April 27, 2015  Revised:September 19, 2015
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DOI:10.7511/jslx201605001
KeyWord:quasi-static  deformation  failure  numerical simulation  peridynamics
        
AuthorInstitution
黄丹 河海大学 工程力学系, 南京
卢广达 河海大学 工程力学系, 南京
章青 河海大学 工程力学系, 南京
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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.