Details
| Original language | English |
|---|---|
| Pages (from-to) | 118-132 |
| Number of pages | 15 |
| Journal | Engineering Analysis with Boundary Elements |
| Volume | 113 |
| Early online date | 10 Jan 2020 |
| Publication status | Published - Apr 2020 |
Abstract
This work presents the method to combine isogeometric analysis coupled to symmetric Galerkin boundary element method (IGA-SGBEM) and parametric level set (PaLS)-based optimization scheme for the analysis of linear problems in two-dimensional piezoelectric media. IGA-SGBEM is used to obtain field variables (i.e. generalized displacement and traction) in the forward analysis. Then, inverse analysis of flaw detection in piezoelectric structures is attempted by combining IGA-SGBEM with PaLS-based optimization scheme. In this proposed method, the versatility of isogeometric analysis (IGA) is proved in the inverse progress, where the iso-line of the level set function can be easily reconstructed and incorporated into the IGA framework. Numerical examples are examined to validate and to demonstrate the robustness of the proposed method in solving both forward and inverse problems in piezoelectricity.
Keywords
- Inverse problem, Isogeometric analysis, Level set method, Piezoelectric material, Symmetric Galerkin BEM
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Engineering Analysis with Boundary Elements, Vol. 113, 04.2020, p. 118-132.
Research output: Contribution to journal › Article › Research
}
TY - JOUR
T1 - Forward and inverse problems in piezoelectricity using isogeometric symmetric Galerkin boundary element method and level set method
AU - Nguyen, B. H.
AU - Nanthakumar, Srivilliputtur Subbiah
AU - He, Y. Q.
AU - Tran, H. D.
AU - Hackl, K.
AU - Zhuang, Xiaoying
N1 - Funding Information: B.H. Nguyen, S.S. Nanthakumar and X. Zhuang acknowledge the support from ERC Starting Grant (802205). Appendix A
PY - 2020/4
Y1 - 2020/4
N2 - This work presents the method to combine isogeometric analysis coupled to symmetric Galerkin boundary element method (IGA-SGBEM) and parametric level set (PaLS)-based optimization scheme for the analysis of linear problems in two-dimensional piezoelectric media. IGA-SGBEM is used to obtain field variables (i.e. generalized displacement and traction) in the forward analysis. Then, inverse analysis of flaw detection in piezoelectric structures is attempted by combining IGA-SGBEM with PaLS-based optimization scheme. In this proposed method, the versatility of isogeometric analysis (IGA) is proved in the inverse progress, where the iso-line of the level set function can be easily reconstructed and incorporated into the IGA framework. Numerical examples are examined to validate and to demonstrate the robustness of the proposed method in solving both forward and inverse problems in piezoelectricity.
AB - This work presents the method to combine isogeometric analysis coupled to symmetric Galerkin boundary element method (IGA-SGBEM) and parametric level set (PaLS)-based optimization scheme for the analysis of linear problems in two-dimensional piezoelectric media. IGA-SGBEM is used to obtain field variables (i.e. generalized displacement and traction) in the forward analysis. Then, inverse analysis of flaw detection in piezoelectric structures is attempted by combining IGA-SGBEM with PaLS-based optimization scheme. In this proposed method, the versatility of isogeometric analysis (IGA) is proved in the inverse progress, where the iso-line of the level set function can be easily reconstructed and incorporated into the IGA framework. Numerical examples are examined to validate and to demonstrate the robustness of the proposed method in solving both forward and inverse problems in piezoelectricity.
KW - Inverse problem
KW - Isogeometric analysis
KW - Level set method
KW - Piezoelectric material
KW - Symmetric Galerkin BEM
UR - http://www.scopus.com/inward/record.url?scp=85077512168&partnerID=8YFLogxK
U2 - 10.1016/j.enganabound.2019.12.020
DO - 10.1016/j.enganabound.2019.12.020
M3 - Article
VL - 113
SP - 118
EP - 132
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
SN - 0955-7997
ER -