A stabilized non-ordinary state-based peridynamic model

被引：83
作者：
Li, P. [1 ]
Hao, Z. M. [1 ,2 ]
Zhen, W. Q. [1 ]
机构：
[1] CAEP, Inst Syst Engn, Mianyang 621999, Peoples R China
[2] Shock & Vibrat Engn Mat & Struct Key Lab Sichuan, Mianyang 621999, Peoples R China
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2018年 / 339卷
基金：
中国国家自然科学基金;
关键词：
State-based peridynamics; Zero-energy modes; Stabilization; Damage; SOLID MECHANICS; FRACTURE; DISCRETIZATIONS; DEFORMATION;
D O I：
10.1016/j.cma.2018.05.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Non-ordinary state-based peridynamics suffers from zero-energy modes due to nodal integration, causing instabilities of the displacement, stress and strain fields. A stabilized non-ordinary state-based peridynamic model is derived according to the linearized bond-based peridynamic theory. The incorporation of supplemented force state excludes a zero-energy modes control coefficient and eliminates the need for complicated parameter adjustment. Finally, the parameter of strain energy ratio is defined to study the degree of influence of the zero-energy modes on the computation process. Four numerical examples are analyzed to demonstrate the effectiveness of the present model in controlling the zero-energy modes in non-ordinary state-based peridynamics. (C) 2018 Elsevier B.Y. All rights reserved.
引用
收藏
页码：262 / 280
页数：19
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