Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Natural element hierarchic models for laminated composite plates
https://orcid.org/0000-0002-5367-4012
Abstract This paper presents the hierarchic models for laminated composite plates in the framework of 2-D natural element method (NEM), aiming at the accurate and effective numerical analysis of stress distributions and buckling loads. The current study was inspired by the fact that the classical composite plate theories are restricted to thin structures and most of hierarchic models have been implemented by FEM. In the hierarchic models, the displacement field is expressed in the product of the 2-D in-plane unknown functions and the 1-D out-of-plane assumed monomials. The in-plane unknown functions, which are supported on the mid-surface of composite plate, are approximated by the 2-D locking-free NEM. The approximated strains and stresses are smoothened by the CPU time-effective strain recovery technique, and furthermore the transverse shear stresses are enhanced by the equilibrated post-processing technique. The proposed hierarchic models are applied to two types of laminated composites, the conventional orthotropic laminated plate and the laminated plate with functionally graded CNTRC layers. Through the numerical experiments, the fundamental features of hierarchic models are investigated in terms of the model level, the structure thickness and the grid density. And the deflections, stresses and buckling load parameters obtained by the present models were compared with 3-D exact solutions and the advanced plate theories. From the comparison, the reliability and excellence of the proposed hierarchic models have been justified.
Highlights Laminated composite plates were successfully and effectively analyzed by making use of 2-D NEM and the hierarchic models. Discontinuous stress distributions were smoothened and enhanced by the global strain recovery and the equilibrated post-processing technique. The present hierarchic models provide the accurate normal and shear stress distributions for both thick and thin laminated composite plates. The convergence of modeling error increases with the model level for thick plates, but its dependence on is negligible for thin plates.
Natural element hierarchic models for laminated composite plates
https://orcid.org/0000-0002-5367-4012
Abstract This paper presents the hierarchic models for laminated composite plates in the framework of 2-D natural element method (NEM), aiming at the accurate and effective numerical analysis of stress distributions and buckling loads. The current study was inspired by the fact that the classical composite plate theories are restricted to thin structures and most of hierarchic models have been implemented by FEM. In the hierarchic models, the displacement field is expressed in the product of the 2-D in-plane unknown functions and the 1-D out-of-plane assumed monomials. The in-plane unknown functions, which are supported on the mid-surface of composite plate, are approximated by the 2-D locking-free NEM. The approximated strains and stresses are smoothened by the CPU time-effective strain recovery technique, and furthermore the transverse shear stresses are enhanced by the equilibrated post-processing technique. The proposed hierarchic models are applied to two types of laminated composites, the conventional orthotropic laminated plate and the laminated plate with functionally graded CNTRC layers. Through the numerical experiments, the fundamental features of hierarchic models are investigated in terms of the model level, the structure thickness and the grid density. And the deflections, stresses and buckling load parameters obtained by the present models were compared with 3-D exact solutions and the advanced plate theories. From the comparison, the reliability and excellence of the proposed hierarchic models have been justified.
Highlights Laminated composite plates were successfully and effectively analyzed by making use of 2-D NEM and the hierarchic models. Discontinuous stress distributions were smoothened and enhanced by the global strain recovery and the equilibrated post-processing technique. The present hierarchic models provide the accurate normal and shear stress distributions for both thick and thin laminated composite plates. The convergence of modeling error increases with the model level for thick plates, but its dependence on is negligible for thin plates.
Natural element hierarchic models for laminated composite plates
https://orcid.org/0000-0002-5367-4012
Abstract This paper presents the hierarchic models for laminated composite plates in the framework of 2-D natural element method (NEM), aiming at the accurate and effective numerical analysis of stress distributions and buckling loads. The current study was inspired by the fact that the classical composite plate theories are restricted to thin structures and most of hierarchic models have been implemented by FEM. In the hierarchic models, the displacement field is expressed in the product of the 2-D in-plane unknown functions and the 1-D out-of-plane assumed monomials. The in-plane unknown functions, which are supported on the mid-surface of composite plate, are approximated by the 2-D locking-free NEM. The approximated strains and stresses are smoothened by the CPU time-effective strain recovery technique, and furthermore the transverse shear stresses are enhanced by the equilibrated post-processing technique. The proposed hierarchic models are applied to two types of laminated composites, the conventional orthotropic laminated plate and the laminated plate with functionally graded CNTRC layers. Through the numerical experiments, the fundamental features of hierarchic models are investigated in terms of the model level, the structure thickness and the grid density. And the deflections, stresses and buckling load parameters obtained by the present models were compared with 3-D exact solutions and the advanced plate theories. From the comparison, the reliability and excellence of the proposed hierarchic models have been justified.
Highlights Laminated composite plates were successfully and effectively analyzed by making use of 2-D NEM and the hierarchic models. Discontinuous stress distributions were smoothened and enhanced by the global strain recovery and the equilibrated post-processing technique. The present hierarchic models provide the accurate normal and shear stress distributions for both thick and thin laminated composite plates. The convergence of modeling error increases with the model level for thick plates, but its dependence on is negligible for thin plates.
Natural element hierarchic models for laminated composite plates
Cho, J.R. (Autor:in)
Thin-Walled Structures ; 171
11.11.2021
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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