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首页> 外文期刊>Composite Structures >Direct and inverse multi-scale analyses of arbitrarily functionally graded layered hollow cylinders (discs), with different shaped reinforcements, under harmonic loads
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Direct and inverse multi-scale analyses of arbitrarily functionally graded layered hollow cylinders (discs), with different shaped reinforcements, under harmonic loads

机译：在谐波载荷下，对具有不同形状增强件的任意功能渐变的分层空心圆柱体（圆盘）进行直接和反向多尺度分析

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摘要

A multi-scale model is proposed to investigate arbitrarily functionally graded hollow cylinders (discs), with fibers, particles, or disc-shaped reinforcements, subjected to harmonic loading conditions. The stress analyses are performed by dividing the cylinders (discs) into several layers each with homogeneous properties, which are functionally graded through the thickness of the structures, with varying microstructural details. Good agreement can be obtained by comparing the present stress distributions against other analytical solutions used as boundary conditions or obtained for homogeneous and continuously graded structures. Furthermore, the MoriTanaka model is used to generate effective properties of each layer reinforced with fibers, particles or disc-shaped inclusions. The stress distributions in the cylinders along the radial direction are effectively investigated with the influence of either the shape or the volume fraction of reinforcements. Finally, the particle swarm optimization technique is combined with the present framework to provide inverse calculations for microstructural details, in the effort of finding proper inclusion volume fractions or minimizing the shear stress along the radial direction, which are necessary for the design of functionally graded structures. The present analysis for arbitrarily FG cylinders under arbitrary loading conditions provides benchmark solutions for other future analytical and numerical methods.
机译：提出了一种多尺度模型，以研究具有谐波载荷条件的具有纤维，颗粒或圆盘状增强物的任意功能分级的空心圆柱体（圆盘）。应力分析是通过将圆柱体（圆盘）划分为具有均一特性的几层来进行的，这些特性通过结构的厚度在功能上分级，并具有不同的微观结构细节。通过将当前应力分布与用作边界条件或均质且连续渐变结构的其他分析解决方案进行比较，可以获得良好的一致性。此外，MoriTanaka模型用于生成纤维，颗粒或盘状夹杂物增强的每一层的有效性能。在钢筋形状或体积分数的影响下，可以有效地研究圆柱体沿径向的应力分布。最后，粒子群优化技术与本框架相结合，以提供微观结构细节的逆计算，以寻找合适的夹杂物体积分数或最小化沿径向方向的切应力，这对于功能梯度结构的设计是必不可少的。当前在任意载荷条件下对任意FG气缸的分析为将来的其他分析和数值方法提供了基准解决方案。

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