Layerwise mixed models for analysis of multilayered piezoelectric composite plates using least-squares formulation
Autor: | J. N. Reddy, F. Moleiro, C. A. Mota Soares, C. M. Mota Soares |
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Rok vydání: | 2015 |
Předmět: |
Mixed model
Engineering Variables business.industry media_common.quotation_subject Mathematical analysis Piezoelectric composite plates Layerwise mixed formulation Structural engineering Static analysis Finite element method Transverse plane Electric field Least-squares formulation Ceramics and Composites Electromechanical analysis Electric potential business Electric displacement field Finite element model Civil and Structural Engineering media_common |
Zdroj: | Repositório Científico de Acesso Aberto de Portugal Repositório Científico de Acesso Aberto de Portugal (RCAAP) instacron:RCAAP |
ISSN: | 0263-8223 |
Popis: | This work provides an assessment of layerwise mixed models using least-squares formulation for the coupled electromechanical static analysis of multilayered plates. In agreement with three-dimensional (3D) exact solutions, due to compatibility and equilibrium conditions at the layers interfaces, certain mechanical and electrical variables must fulfill interlaminar C 0 continuity, namely: displacements, in-plane strains, transverse stresses, electric potential, in-plane electric field components and transverse electric displacement (if no potential is imposed between layers). Hence, two layerwise mixed least-squares models are here investigated, with two different sets of chosen independent variables: Model A, developed earlier, fulfills a priori the interlaminar C 0 continuity of all those aforementioned variables, taken as independent variables; Model B, here newly developed, rather reduces the number of independent variables, but also fulfills a priori the interlaminar C 0 continuity of displacements, transverse stresses, electric potential and transverse electric displacement, taken as independent variables. The predictive capabilities of both models are assessed by comparison with 3D exact solutions, considering multilayered piezoelectric composite plates of different aspect ratios, under an applied transverse load or surface potential. It is shown that both models are able to predict an accurate quasi-3D description of the static electromechanical analysis of multilayered plates for all aspect ratios. |
Databáze: | OpenAIRE |
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