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The twoscale asymptotic error analysis for piezoelectric problems in the quasi-periodic structure |
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| Authors: | YongPing Feng MingXiang Deng XiaoFei Guan |
| Affiliation: | 1. School of Mathematics and Information Sciences, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, 510006, China 2. Department of Mathematics, University of California, San Diego, 92093, USA 3. Department of Mathematics, Tongji University, Shanghai, 200092, China |
| Abstract: | Applications for piezoelectric effect have grown rapidly, and piezoelectric materials play important roles in countless areas of modern life. By means of twoscale method and coupled boundary layer, some new kinds of twoscale asymptotic expansions for solutions to the electrical potential and the displacement in quasi-periodic structure under coupled piezoelectric effect are derived, and the homogenization constants of piezoelectric materials are presented. The coupled twoscale relation between the electrical potential and the displacement is set up, and some improved asymptotic error estimates are analyzed. |
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