Investigation on Thermomechanical Bending of Functionally Graded Sandwich Plates Using a Novel Combined 2D Integral Plate Model

IF 1.8 4区材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Physical Mesomechanics Pub Date : 2024-08-23 DOI:10.1134/S1029959924040118

H. Belarbi, B. Boucham, F. Bourada, A. Kaci, M. Bourada, A. Tounsi

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Abstract

This study presents the flexural analysis of Ti-6A1-4V/ZrO₂ functionally graded (FG) sandwich plates under combined thermal and mechanical loading via exponential-cubic-sinusoidal integral shear deformation theory. The current formulation used in the modeling provides a parabolic distribution of transverse shear stresses without requiring additional factors in the formulation. Various sandwich plate models with different layer thicknesses and material types are considered. The FG layers vary continuously and smoothly according to exponential and power-law functions. The governing differential equations of the system are derived and solved analytically using the virtual work principle and Navier’s approach. Benchmark comparisons are performed to validate and show the accuracy of the proposed model. Various parametric examples are presented to illustrate the effect of the geometry, dimensions, FG sandwich type and material gradient on the static flexural response of the studied structure.

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使用新型组合二维积分板模型研究功能分级三明治板的热力学弯曲问题

摘要本研究通过指数-立方-正弦积分剪切变形理论，对热和机械联合加载下的 Ti-6A1-4V/ZrO2 功能分级（FG）夹层板进行了弯曲分析。目前用于建模的公式提供了横向剪应力的抛物线分布，而无需在公式中加入额外的因素。考虑了不同层厚和材料类型的各种夹层板模型。FG 层根据指数函数和幂律函数连续平稳地变化。利用虚功原理和纳维方法推导并分析解决了系统的支配微分方程。进行了基准比较，以验证和显示所提模型的准确性。此外，还介绍了各种参数示例，以说明几何形状、尺寸、FG 夹层类型和材料梯度对所研究结构的静态弯曲响应的影响。

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来源期刊

Physical Mesomechanics Materials Science-General Materials Science

CiteScore

3.50

自引率

18.80%

发文量

期刊介绍： The journal provides an international medium for the publication of theoretical and experimental studies and reviews related in the physical mesomechanics and also solid-state physics, mechanics, materials science, geodynamics, non-destructive testing and in a large number of other fields where the physical mesomechanics may be used extensively. Papers dealing with the processing, characterization, structure and physical properties and computational aspects of the mesomechanics of heterogeneous media, fracture mesomechanics, physical mesomechanics of materials, mesomechanics applications for geodynamics and tectonics, mesomechanics of smart materials and materials for electronics, non-destructive testing are viewed as suitable for publication.