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Hygro-thermo-mechanical modelling and analysis of multilayered plates with embedded functionally graded material layers

机译：嵌入式功能分级材料层的多层板Hygro-Thermo-Morial-Morial-Merorical造型及分析

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摘要

This work addresses the modelling and analysis of multilayered plates with embedded functionally graded material (FGM) layer(s) under hygro-thermo-mechanical loadings. The hygroscopic, thermal and mechanical problems are all solved simultaneously using a new layerwise mixed model based on least-squares formulation with multi-field independent variables, namely, displacements, temperature, moisture, transverse stresses, transverse heat flux, transverse moisture flux, in-plane strains and in-plane components of both thermal and moisture gradients. This mixed formulation ensures that interlaminar C-0 continuity requirements, where the material properties may actually change, are fully fulfilled a priori. An added feature is included to fully describe the FGM layer z-continuous effective properties through-thickness, using any homogenization method, by applying a high-order z-expansion to its effective properties, similarly to finite element approximations. The numerical results demonstrate the effects of hygrothermal environments in the analysis of distinct multilayered plates with embedded FGM layers, considering different side-to-thickness ratios, under a series of hygro-thermomechanical loadings. The rule of mixtures is used to estimate the FGM layer effective properties, including different material gradation profiles. Three-dimensional (3D) approximate solutions corroborate this model's capability to predict accurately a quasi-3D hygro-thermo-mechanical description of the through-thickness distributions of displacements and stresses, temperature and heat flux, moisture and moisture flux.
机译：该工作解决了在Hygro-Thermo-Manight-载荷下用嵌入式功能梯度材料（FGM）层的多层板的建模和分析。除了基于多场独立变量的最小二乘配方的新的层状混合模型，包括多场自变量的最小二乘配方，即位移，温度，水分，横向应力，横向热通量，横向水分通量，横向热通量，横向水分通量-Plane菌株和热和水分梯度的平面内部件。这种混合配方确保了材料特性可能实际改变的InterlaMINAR C-0连续性要求，完全实现了先验。通过将高阶Z扩展施加到其有效性质，将添加的方法完全描述为完全描述FGM层Z-连续有效性能的通过厚度，以使其有效的性能。数值结果表明了湿热环境在分析与嵌入式FGM层的不同多层板的影响，考虑到不同的侧向厚度比，在一系列的Hygro-热机械载荷下。混合物的规则用于估计FGM层有效性质，包括不同的材料灰度谱。三维（3D）近似解决方案证实了该模型的能力，以准确地预测Quasi-3D Hygro-Therm-Morhirmical-Mechance，对位移和应力，温度和热通量，水分和水分通量的贯穿厚度分布。

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