使用贝塞尔三角形对功能分级板进行等值分析

IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2024-06-25 DOI:10.1016/j.compstruct.2024.118310
Francisco Davyd Pereira Silva, Elias Saraiva Barroso, Gabriel Braga Alves de Matos, Evandro Parente Jr., João Batista M. Sousa Jr.
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引用次数: 0

摘要

等时几何分析是一种融合了几何建模和结构分析概念的数值方法。它使用与 CAD 系统相同的基函数来近似位移场,以描述结构的几何形状。本研究提出了一种基于有理贝塞尔三角形的等几何公式,用于分析功能分级板,允许精确的几何表示和拓扑复杂模型的自动离散化。该公式适用于功能分级板和曲面板的自由振动和稳定性分析。在所有例子中都观察到了网格细化下的单调收敛。此外,结果表明,曲面功能分级板显示出复杂的非线性行为,并可能在达到极限载荷之前出现分叉屈曲。
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Isogeometric analysis of functionally graded panels using Bézier triangles

Isogeometric Analysis is a numerical method that integrates the concepts of geometric modeling and structural analysis. It approximates the displacement field using the same basis functions employed by CAD systems to describe the structure’s geometry. This work proposes an isogeometric formulation for analysis of functionally graded panels based on rational Bézier triangles, allowing the exact geometry representation and automatic discretization of topologically complex models. The formulation is applied to the free vibration and stability analysis of functionally graded plates and curved panels. Monotonic convergence under mesh refinement was observed in all examples. Furthermore, results show that curved functionally graded panels display a complex nonlinear behavior and can present bifurcation buckling before reaching the limit load.

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来源期刊
Composite Structures
Composite Structures 工程技术-材料科学:复合
CiteScore
12.00
自引率
12.70%
发文量
1246
审稿时长
78 days
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.
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