Chien H. Thai , PT. Hung , T. Rabczuk , H. Nguyen-Xuan , P. Phung-Van
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引用次数: 0
Abstract
This paper introduces a Chebyshev shear deformation model based on the Chebyshev polynomial for static analysis of laminated composite and sandwich plates. The third-order and fifth-order Chebyshev shear deformation models are defined by corresponded changing the order of the Chebyshev polynomial, respectively. The proposed model offers a simple, concise, and effective approach compared to existing models. By employing the principle of virtual work, a weak form formulation is derived and solved via using isogeometric analysis. The higher-order continuity inherent in Non-Uniform Rational B-Splines (NURBS) within the framework of isogeometric analysis facilitates the straightforward computation of shear stresses through the integration of the equilibrium equations. This offers a significant advantage over the standard finite element method, where accurate shear stress calculations can be particularly challenging. Furthermore, shear stresses obtained via equilibrium integration generally exhibit superior accuracy compared to those derived from the constitutive equations, particularly when compared to a 3D elasticity model. The deflection of laminated composite and sandwich plates is influenced by factors such as geometry, aspect ratio, material properties, and the number of layers. The effectiveness of the proposed model is clearly evidenced by the strong correspondence between its numerical results and well-established findings in the literature.
期刊介绍:
The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials.
The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.