Stability Analysis of an Explicit Integration Algorithm with 3D Viscoelastic Artificial Boundary Elements
Joint Authors
Li, Shutao
Bao, Xin
Liu, Jingbo
Jia, Yifan
Xiao, Lan
Tao, Xigui
Chen, Yicun
Zhang, Weifeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-29
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
Viscoelastic artificial boundary elements are one of the most commonly used artificial boundaries when solving dynamic soil-structure interactions or near-field wave propagation problems.
However, due to the lack of clear and practical stability criteria for the explicit algorithm that considers the influence of viscoelastic artificial boundary elements, the determination of the stable time increment in such numerical analyses is still a challenge.
In this study, we proposed a numerical stability analysis method for the explicit algorithm with a 3D viscoelastic artificial boundary element based on the idea of a subsystem.
Through this method, the artificial boundary subsystem that controls the stability of the overall numerical system is determined, and the analytical solution for the stability condition of the explicit integration algorithm with 3D viscoelastic artificial boundary elements is obtained.
On this basis, the maximum time increment for solving dynamic problems with viscoelastic artificial boundary elements can be determined.
American Psychological Association (APA)
Li, Shutao& Liu, Jingbo& Bao, Xin& Jia, Yifan& Xiao, Lan& Tao, Xigui…[et al.]. 2020. Stability Analysis of an Explicit Integration Algorithm with 3D Viscoelastic Artificial Boundary Elements. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1193581
Modern Language Association (MLA)
Li, Shutao…[et al.]. Stability Analysis of an Explicit Integration Algorithm with 3D Viscoelastic Artificial Boundary Elements. Mathematical Problems in Engineering No. 2020 (2020), pp.1-18.
https://search.emarefa.net/detail/BIM-1193581
American Medical Association (AMA)
Li, Shutao& Liu, Jingbo& Bao, Xin& Jia, Yifan& Xiao, Lan& Tao, Xigui…[et al.]. Stability Analysis of an Explicit Integration Algorithm with 3D Viscoelastic Artificial Boundary Elements. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-18.
https://search.emarefa.net/detail/BIM-1193581
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193581