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Indexed by:期刊论文

Date of Publication:2014-05-01

Journal:COMPUTATIONAL MATERIALS SCIENCE

Included Journals:SCIE、EI、Scopus

Volume:87

Page Number:88-99

ISSN No.:0927-0256

Key Words:Smart materials; Heterogeneous piezoelectric composite; Multiscale finite element approach; Thermo-electro-mechanical behavior; Micromechanical

Abstract:This article presents a new hierarchical multiscale approach to numerically simulate the thermo-electromechanical behaviors of the smart materials composed of highly heterogeneous piezoelectric microstructures. The method is based upon the multiscale finite element formulation, in which multiscale numerical base functions with respect to the thermal, electrical and mechanical fields are proposed to capture the fine-scale heterogeneous small-scale features to the large-scale calculation. In this method, the overall thermal and electro-mechanical behaviors of the piezoelectric composites considered can be efficiently solved on a relatively larger scale coarse grid, while the fine-scale piezoelectric patterns can be easily recovered from the coarse-scale solution to the underlying fine grid. Furthermore, a local relaxation technique is proposed to improve the accuracy of the multiscale method. In this technique, the fine-scale results recovered by the downscaling computation is modified through the consideration of the microscopic perturbation results, which are mainly induced by the microscopic load, microscopic boundary conditions or the inaccuracy of the numerical base functions. At last, two illustrative examples are introduced to demonstrate the validity and versatility of the multiscale method proposed. These results indicate that the proposed method can effectively solve the thermo-electro-mechanical problems; and the local relaxation technique can provide precise modification to the unbalance of the results for those multiscale problems with strong boundary effects. (C) 2014 Elsevier B. V. All rights reserved.