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Author:

Zhang, Guoliang (Zhang, Guoliang.) | Zhao, Mi (Zhao, Mi.) (Scholars:赵密) | Zhang, Junqi (Zhang, Junqi.) | Du, Xiuli (Du, Xiuli.)

Indexed by:

EI Scopus SCIE

Abstract:

Artificial boundary method is widely used in the numerical modeling of unbounded wave problem. However, the accurate modeling of truncated infinite domain with general geometry and heterogeneous materials is still a challenging task, especially for direct time-domain analysis in three dimensions (3D). In this paper, a novel 3D time-domain artificial boundary method, called Scaled Boundary Perfectly Matched Layer (SBPML), is proposed. This method is a generalization of the Perfectly Matched Layer (PML) based on a scaled boundary coordinates transformation inspired by the Scaled Boundary Finite Element Method (SBFEM), which is capable of using artificial boundary of general geometry (not necessarily convex) and considering plane physical surfaces and interfaces extending to infinity in the truncated infinite domain. Local scaled boundary coordinates are firstly introduced on the element-level into the truncated infinite domain to describe general geometry properties of the infinite domain. Then, a complex stretching function from PML is applied to radial direction of the local scaled boundary coordinates to map the physical space onto the complex space, resulting in a SBPML domain. The spatial discretization of the SBPML domain produces semi-discrete mixed displacement-stress unsplit-field formulations of third orders in time. The order of the obtained formulation can be reduced by one, enabling a seamless coupling with the standard displacementbased finite element formulation of the interior domain. The coupled system can be solved by an explicit time integration algorithm efficiently. The validation of the SBPML is demonstrated through several benchmark tests, including wave problems in unbounded domains with general geometries and heterogeneous material properties. Furthermore, the application of the SBPML in dynamic soil-structure interaction (SSI) is demonstrated using two engineering problems, including an impact analysis of soft rock-nuclear island system and a vibration analysis of soil-lined tunnel system. (c) 2022 Elsevier B.V. All rights reserved.

Keyword:

Perfectly matched layer (PML) Unbounded domain Artificial boundary method Scaled boundary finite element method (SBFEM) Dynamic soil-structure interaction Explicit finite element method

Author Community:

  • [ 1 ] [Zhang, Guoliang]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao, Mi]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Junqi]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 4 ] [Du, Xiuli]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China
  • [ 5 ] [Zhang, Guoliang]Tsinghua Univ, Dept Hydraul Engn, Beijing 100084, Peoples R China

Reprint Author's Address:

  • [Zhao, Mi]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, Peoples R China;;

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Source :

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

ISSN: 0045-7825

Year: 2023

Volume: 403

7 . 2 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count: 28

SCOPUS Cited Count: 31

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

Affiliated Colleges:

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