Abstract
In this paper, we construct a second-order two-scale (SOTS) finite element method for piezoelectric problem in composite plate with 3-D periodic configuration by means of construction way. Based on the Reissner-Mindlin deformation pattern and integral projection operator of electric field, the homogenization solution of piezoelectric problem is obtained based on finite element method. The SOTS's computational method is constructed by SOTS's asymptotic expansion. A set of numerical results are demonstrated for predicting the displacement and temperature of composite plate. It shows that SOTS's finite element method can capture the 3-D local behaviors caused by 3-D micro-structures well.
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