An efficient iteration approach for nonlinear boundary value problems in 2D piezoelectric semiconductors |
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| Institution: | 1. School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou, Henan 450001, People''s Republic of China;2. School of Mechanical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, People''s Republic of China;3. Henan Key Engineering Laboratory for Anti-Fatigue Manufacturing Technology, Zhengzhou University, Zhengzhou, Henan 450001, People''s Republic of China |
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| Abstract: | Based on initial nonlinear constitutive equations, we establish the extended displacement and traction boundary integral equations for a piezoelectric medium with a volume electric charge, along with electron and electric current density boundary integral equations for a conductor with a volume electric current. Then, an iterative approach is proposed for investigation of boundary value problems in two-dimensional piezoelectric semiconductors (PSCs). Compared with extended displacements obtained by finite element analysis, this approach is validated via a rectangular PSC under extended external loads. Furthermore, as a numerical example, extended displacements across an elliptical hole in a rectangular PSC are investigated. It is shown that there is a stress concentration near the elliptical hole, which is closely dependent on its shape. |
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