带有三相双向 FGM 面层的夹层微梁在移动质量作用下的瞬态响应与尺寸有关

IF 2.2 3区 工程技术 Q2 MECHANICS Archive of Applied Mechanics Pub Date : 2024-06-21 DOI:10.1007/s00419-024-02628-z
An Ninh Thi Vu, Dinh Kien Nguyen
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引用次数: 0

摘要

与两相材料相比,多相功能分级材料(FGM)具有更多的设计变量,因此为定制有效特性以满足多功能要求提供了更大的空间。预测结构对动态载荷的响应对结构设计至关重要。在这项工作中,我们研究了夹层微梁在移动质量作用下与尺寸有关的瞬态响应。微梁的核心是均质的,而两个面层由三相双向 FGM 制成。根据准三维理论和修正耦合应力理论,推导出运动微分方程,并使用有限元公式将其转化为离散形式。对不同材料分布和夹层结构的微梁进行了动态响应评估。数值结果表明,材料分布对瞬态响应的影响受微结构尺度参数的制约,对于尺度参数较高的微梁,这种影响并不显著。详细研究了材料级配、尺度参数和质量速度对瞬态行为的影响。此外,还研究和讨论了用于估算三相脱硫玻纤材料有效模量的微观力学模型(即混合规则和扩展的 Mori-Tanaka 方案)的影响。
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Size-dependent transient response of sandwich microbeam with three-phase bidirectional FGM face layers under a moving mass

Multi-phase functionally graded materials (FGMs) have more design variables than their two-phase counterparts and thus provide larger space for tailoring effective properties to meet multifunctional requirements. Predicting response of structures to dynamic loading is essential for structural design. In this work, the size-dependent transient response of a sandwich microbeam under a moving mass is studied. The core of the microbeam is homogeneous, while the two face layers are made from a three-phase bidirectional FGM. Based on the quasi-3D theory and modified couple stress theory, differential equations of motion are derived and transferred to a discretized form using a finite element formulation. Dynamic response is evaluated for microbeam with different material distributions and sandwich configurations. Numerical result reveals that the influence of material distribution on the transient response is governed by the microstructural scale parameter, and this influence is less significant for the microbeam associated with a higher scale parameter. The effects of the material gradation, the scale parameter and the mass velocity on the transient behaviour are studied in detail. The effect of micromechanical models, namely the rule of mixture and the extended Mori–Tanaka scheme, used in estimating the effective moduli of the three-phase FGM is also examined and discussed.

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来源期刊
CiteScore
4.40
自引率
10.70%
发文量
234
审稿时长
4-8 weeks
期刊介绍: Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.
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