The application of novel shear deformation theory and nonlocal elasticity theory to study the mechanical response of composite nanoplates

IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES
Phan Quang Phuc , Pham Van Dong , Nguyen Trong Hai , Ashraf M. Zenkour , Luu Gia Thien
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引用次数: 0

Abstract

The use of composite structures, which have many layers of materials, has become more prevalent in the field of engineering. One of the advantages of this approach is its ability to use the inherent strengths of the constituent materials, resulting in a substantial increase in their load-bearing capability. Hence, this research represents the pioneering investigation into the static bending and free vibration characteristics of composite nanoplates including several layers of materials, whereby the material layers are interconnected via intricate profiles characterized by square wave and sine waveforms. The purpose of this endeavor is to fully capitalize on the benefits of attending courses in order to enhance practical working efficiency. This study also incorporates the use of two innovative third-order shear deformation theories. Simultaneously, considering the negligible size impact facilitated by the nonlocal theory, the mathematical formulations and equilibrium equations are derived using the Hamilton principle. The issue has been addressed using a four-node element with six degrees of freedom per node. One novel aspect of this study is its consideration of the impact of initial shape imperfections in various manifestations. Additionally, the elastic foundation incorporates characteristics that exhibit spatial variation. This statement provides a somewhat more accurate depiction of the behavior shown by actual structures. The numerical findings have been meticulously computed and thoroughly examined. Notably, it is possible to determine the optimal number of wavelengths in the profile to enhance the load-bearing capability of the structure. The findings derived from this study have significant value in informing the design of operational frameworks in practical settings.
应用新型剪切变形理论和非局部弹性理论研究复合纳米板的力学响应
工程领域越来越普遍地使用由多层材料组成的复合结构。这种方法的优点之一是能够利用组成材料的固有强度,从而大幅提高其承载能力。因此,本研究开创性地研究了包括多层材料在内的复合纳米板的静态弯曲和自由振动特性,这些材料层通过以方波和正弦波形为特征的复杂剖面相互连接。这项工作的目的是充分发挥参加课程的优势,以提高实际工作效率。本研究还采用了两种创新的三阶剪切变形理论。同时,考虑到非局部理论对尺寸的影响可以忽略不计,利用汉密尔顿原理推导出数学公式和平衡方程。该问题使用了每个节点具有六个自由度的四节点元素。这项研究的一个新颖之处是考虑了各种表现形式的初始形状缺陷的影响。此外,弹性地基还包含了空间变化特征。这在一定程度上更准确地描述了实际结构的行为。数值结果经过了精心计算和全面检查。值得注意的是,可以确定轮廓中的最佳波长数,以提高结构的承载能力。这项研究得出的结果对实际环境中操作框架的设计具有重要参考价值。
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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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