利用准三维高阶剪切变形理论研究承受静载荷的 FGM 圆柱壳夹紧边界上的应力分布

N. D. Tran
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摘要

本文介绍了利用准三维高阶剪切变形理论研究 FGM 闭合圆柱形壳体的结果。根据幂函数的材料体积分布规律。本文分析了在按照不同规律分布的径向局部载荷作用下,FGM 圆柱壳夹紧边界区域的应力状态。数学模型和 Maple 计算程序与已发表的结果进行了比较和验证。文章表明,在夹紧边界边缘,应力分量的值急剧增加,同时,载荷参数(变化规律、载荷区域大小)、幂律指数对边界区域应力分量的值和分布有很大影响。
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INVESTIGATING THE STRESS DISTRIBUTION ON THE CLAMPED BOUNDARY OF FGM CYLINDRICAL SHELLS SUBJECTED TO STATIC LOADS USING THE QUASI-3D HIGHER-ORDER SHEAR DEFORMATION THEORY
This article presents the results of investigating FGM closed cylindrical shells using quasi-3D higher-order shear deformation theory. The law of volume distribution of materials according to the power function. In this article, the results of the analysis of the stress state at the clamped boundary area of the FGM cylindrical shell subjected to radial local loads distributed according to different laws. The mathematical model and the calculation program in Maple are compared and verified with the published results. The article has shown that at the clamped boundary edge, the values of stress components increase sharply, and at the same time, the strong influence of the load parameters (the variation law, the size of the load area), the power-law index on the values and distribution of stress components in the boundary area is demonstrated.
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