关于超厚智能复合立方体结构的全三维弯曲分析

IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES
Mohammad Malikan , Shahriar Dastjerdi , Victor A. Eremeyev , Mehran Kadkhodayan
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引用次数: 0

摘要

在此,我们利用全三维(3D)运动学,讨论了考虑到各种类型的电-磁-弹性耦合的超厚复合板的行为。已发表的研究表明,缺乏对集成了高阶(柔电/柔磁)和低阶(压电/压磁)多重物理场(电-磁-弹)的智能复合板三维力学的研究。在此类复合材料中实现目标和所需机械行为的常见方法可能涉及使用结构元件。将术语 ∂/∂z 与板材的二维控制方程合并,有可能弥补这一不足。该表达式表示厚度的变化,其中 z 是厚度的专用坐标。我们可以通过变分法建立控制方程,从而建立并解决主体结构的三维弯曲方程。这些方程受到了附加假设的影响,例如 von Kármán 应变和复杂的三维张量关系。在数学模型中插入 ∂/∂z 项使分析求解技术无法帮助我们获得数值结果。因此,基于多项式短语的半分析求解方法有助于获得所需的解决方案。这项对超厚压电复合材料类立方体块体结构(CBS)的全三维弯曲研究可为智能板状结构力学领域提供独创性参考。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On a fully three-dimensional bending analysis of very thick smart composite cube-like bulk structures
Here we discuss the behaviour of very thick composite plates considering electro-magneto-elastic coupling of various types using fully three-dimensional (3D) kinematics. Published research highlights a lack of studies on the 3D mechanics of smart composite plates that integrate both higher-order (flexoelectric/flexomagnetic) and lower-order (piezoelectric/piezomagnetic) multiple physical fields (electro-magneto-elastic). The common approach to achieving the targeted and desired mechanical behavior within such composites could involve using structural elements. This gap can potentially be addressed by amalgamating the term ∂/∂z with the 2D governing equations of plates. This expression indicates alterations in thickness, in which z is the coordinate dedicated to the thickness. The governing equations can be created by operating on the variational method which enables us to establish and settle the 3D bending equations of the bulk structure. The pointed-out equations have been influenced by the implementation of additional hypotheses, such as von Kármán’s strain and complicated 3D tensor relations. Inserting the term ∂/∂z into the mathematical model renders that the analytical solution techniques are unable to assist us in obtaining numerical results. Consequently, a semi-analytical solving method grounded on the polynomial phrases facilitates the acquisition of the required solution. This fully 3D bending study of very thick piezocomposite cube-like bulk structures (CBS) can be an original reference in the field of mechanics of intelligent plate-like structures.
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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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