Abstract
Recently, the free element method(FREM), a novel strong-form method, is successfully used to solve thermal and mechanical problems. However, similar to some other strong-form methods, it is difficult to handle the geometric model with corner points. To overcome this weakness, the zonal free element method (ZFREM), which has strong adaptability to deal with complex geometry, is proposed by introducing the sub-domain mapping technique. Besides, the proposed method is firstly applied to solve piezoelectric problems. A unified formulation for piezoelectric problems in the case of electro-mechanical coupling field is established by the zonal free element method. Several two-dimensional (2D) and three-dimensional (3D) examples are carried out and the results are compared with available analytical solutions and finite element solutions to demonstrate validity and accuracy of the proposed method.
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