Forward and inverse problems in piezoelectricity using isogeometric symmetric Galerkin boundary element method and level set method. (April 2020)

• Record Type: Journal Article
• Authors: Nguyen, B.H.; Nanthakumar, S.S.; He, Y.Q.; Tran, H.D.; Hackl, K.; Zhuang, X.
• Is Part Of: Engineering analysis with boundary elements. Volume 113(2020)
• Page Start: 118
• Page End: 132
• Publication Date: 2020-04
• Subjects: Isogeometric analysis -- Symmetric Galerkin BEM -- Inverse problem -- Level set method -- Piezoelectric material; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2019.12.020
• Languages: English
• ISSNs: 0955-7997

Abstract

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.