An Effective Way to Control Numerical Instability of a Nonordinary State-Based Peridynamic Elastic Model
Joint Authors
Gu, Xin
Yu, Yangtian
Qing, Zhang
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-20
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The constitutive modeling and numerical implementation of a nonordinary state-based peridynamic (NOSB-PD) model corresponding to the classical elastic model are presented.
Besides, the numerical instability problem of the NOSB-PD model is analyzed, and a penalty method involving the hourglass force is proposed to control the instabilities.
Further, two benchmark problems, the static elastic deformation of a simple supported beam and the elastic wave propagation in a two-dimensional rod, are discussed with the present method.
It proves that the penalty instability control method is effective in suppressing the displacement oscillations and improving the accuracy of calculated stress fields with a proper hourglass force coefficient, and the NOSB-PD approach with instability control can analyze the problems of structure deformation and elastic wave propagation well.
American Psychological Association (APA)
Gu, Xin& Qing, Zhang& Yu, Yangtian. 2017. An Effective Way to Control Numerical Instability of a Nonordinary State-Based Peridynamic Elastic Model. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1189644
Modern Language Association (MLA)
Gu, Xin…[et al.]. An Effective Way to Control Numerical Instability of a Nonordinary State-Based Peridynamic Elastic Model. Mathematical Problems in Engineering No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1189644
American Medical Association (AMA)
Gu, Xin& Qing, Zhang& Yu, Yangtian. An Effective Way to Control Numerical Instability of a Nonordinary State-Based Peridynamic Elastic Model. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1189644
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189644