TY - JOUR
T1 - A method for improving the accuracy of PODI-RBF solutions for the indentation of an elastic body by a rigid indenter
AU - Nguyen, Minh Nhan
AU - Kim, Hyun Gyu
N1 - Publisher Copyright:
© 2022
PY - 2023/4/1
Y1 - 2023/4/1
N2 - A proper orthogonal decomposition with RBF interpolation (PODI-RBF) method has been developed to solve indenter contact problems in real time [1]. In the PODI-RBF method, POD basis vectors extracted from global solution snapshots, which are obtained from full-order simulations of indenter contact problems with a set of training contact locations, may not accurately represent local deformations near new contact locations in the online stage. In this paper, local POD basis vectors are separately extracted from local solution snapshots near training contact locations using a cuboid reference domain and a mapping process. In addition, a greedy heuristic sampling algorithm is proposed to efficiently choose training contact locations in the offline stage. Global PODI-RBF solutions are enriched with local PODI-RBF solutions to enhance local deformations near new contact locations. Numerical results show that the proposed method can be effectively used to improve the accuracy of PODI-RBF solutions of indenter contact problems.
AB - A proper orthogonal decomposition with RBF interpolation (PODI-RBF) method has been developed to solve indenter contact problems in real time [1]. In the PODI-RBF method, POD basis vectors extracted from global solution snapshots, which are obtained from full-order simulations of indenter contact problems with a set of training contact locations, may not accurately represent local deformations near new contact locations in the online stage. In this paper, local POD basis vectors are separately extracted from local solution snapshots near training contact locations using a cuboid reference domain and a mapping process. In addition, a greedy heuristic sampling algorithm is proposed to efficiently choose training contact locations in the offline stage. Global PODI-RBF solutions are enriched with local PODI-RBF solutions to enhance local deformations near new contact locations. Numerical results show that the proposed method can be effectively used to improve the accuracy of PODI-RBF solutions of indenter contact problems.
KW - Indenter contact problems
KW - Local deformations
KW - Proper orthogonal decomposition
KW - Real-time simulations
KW - Reduced-order models
UR - http://www.scopus.com/inward/record.url?scp=85145778276&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2022.103906
DO - 10.1016/j.finel.2022.103906
M3 - Article
AN - SCOPUS:85145778276
SN - 0168-874X
VL - 216
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
M1 - 103906
ER -