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New Analysis for The FGM Thick Cylinders Under Combined Pressure and Temperature Loading | Science Publications

机译:压力和温度共同作用下FGM厚缸的新分析科学出版物

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> An analytical solution for computing the radial and circumferential stresses in a FGM thick cylindrical vessel under the influence of internal pressure and temperature is presented in this paper. It has been assumed that the modulus of elasticity and thermal coefficient of expansion were varying through thickness of the FGM material according to a power law relationship. Nevertheless the value of the Poisson ratio was taken as constant throughout the material. In the analysis presented here the effect of non-homogeneity in FGM thick cylinder was implemented by choosing a dimensionless parameter, named β, which could be assigned an arbitrary value affecting the stresses in the cylinder. Using Maple 9.5, distribution of stresses in radial and circumferential directions for FGM cylinders under the influence of internal pressure and temperature gradient were obtained. Graphs of variations of stress versus radius of the cylinder were plotted for different values of β. Cases of pressure, temperature and combined loadings were considered separately. It was concluded that by changing the value of β, the properties of FGM could be so modified that the lowest stress levels were reached. The stresses which were produced in FGM and homogeneous material with the same boundary conditions were compared to obtain the optimum value of β.
机译: >本文提出了一种在内部压力和温度影响下计算FGM厚圆柱容器径向和周向应力的解析解。已经假定,弹性模量和热膨胀系数根据幂定律关系在FGM材料的厚度上变化。然而,在整个材料中泊松比的值被认为是恒定的。在本文介绍的分析中,通过选择无量纲参数β来实现FGM厚圆柱体中非均匀性的影响,该参数可以分配任意值来影响圆柱体中的应力。使用Maple 9.5,获得了在内部压力和温度梯度的影响下,FGM气缸在径向和圆周方向上的应力分布。对于不同的β值,绘制了应力随圆柱半径变化的曲线图。分别考虑压力,温度和组合载荷的情况。结论是,通过改变β值,可以对FGM的特性进行修改,以使其达到最低的应力水平。比较在相同边界条件下FGM和均质材料中产生的应力,以获得β的最佳值。

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