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论文类型：期刊论文

发表时间：2020-04-01

发表刊物：ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

收录刊物：EI、SCIE

卷号：113

页面范围：118-132

ISSN号：0955-7997

关键字：Isogeometric analysis; Symmetric Galerkin BEM; Inverse problem; Level set method; Piezoelectric material

摘要：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.