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首页> 外文期刊>Journal of engineering materials and technology >Displacement and Stress Fields in a Functionally Graded Fiber-Reinforced Rotating Disk With Nonuniform Thickness and Variable Angular Velocity
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Displacement and Stress Fields in a Functionally Graded Fiber-Reinforced Rotating Disk With Nonuniform Thickness and Variable Angular Velocity

机译：厚度不均匀且角速度可变的功能梯度纤维增强转盘中的位移和应力场

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摘要

Displacement and stress fields in a functionally graded (FG) fiber-reinforced rotating disk of nonuniform thickness subjected to angular deceleration are obtained. The disk has a central hole, which is assumed to be mounted on a rotating shaft. Unidirectional fibers are considered to be circumferentially distributed within the disk with a variable volume fraction along the radius. The governing equations for displacement and stress fields are derived and solved using finite difference method. The results show that for disks with fiber rich at the outer radius, the displacement field is lower in radial direction but higher in circumferential direction compared to the disk with the fiber rich at the inner radius. The circumferential stress value at the outer radius is substantially higher for disk with fiber rich at the outer radius compared to the disk with the fiber rich at the inner radius. It is also observed a considerable amount of compressive stress developed in the radial direction in a region close to the outer radius. These compressive stresses may prevent any crack growth in the circumferential direction of such disks. For disks with fiber rich at the inner radius, the presence of fibers results in minimal changes in the displacement and stress fields when compared to a homogenous disk made from the matrix material. In addition, we concluded that disk deceleration has no effect on the radial and hoop stresses. However, deceleration will affect the shear stress. Tsai-Wu failure criterion is evaluated for decelerating disks. For disks with fiber rich at the inner radius, the failure is initiated between inner and outer radii. However, for disks with fiber rich at the outer radius, the failure location depends on the fiber distribution.
机译：获得了功能梯度（FG）的厚度不均匀的纤维增强旋转盘的位移和应力场，该旋转盘受到了角减速。盘具有中心孔，假定该中心孔安装在旋转轴上。单向纤维被认为在圆盘内沿圆周分布，其沿半径的体积分数可变。利用有限差分法推导并求解了位移场和应力场的控制方程。结果表明，与内径为纤维丰富的圆盘相比，外径处纤维丰富的圆盘的位移场在径向方向上较小，而周向方向上的位移场较大。与在内半径处具有纤维丰富的盘相比，在外半径处具有纤维丰富的盘在外半径处的周向应力值明显更高。还观察到在靠近外半径的区域中在径向方向上产生了大量的压缩应力。这些压缩应力可以防止在这种盘的圆周方向上的任何裂纹扩展。对于内径处富含纤维的圆盘，与由基体材料制成的均质圆盘相比，纤维的存在导致位移和应力场的变化最小。此外，我们得出的结论是，磁盘减速对径向和环向应力没有影响。但是，减速会影响剪切应力。对Tsai-Wu故障准则进行了评估，以使磁盘减速。对于内半径处具有丰富纤维的磁盘，会在内半径和外半径之间引发故障。但是，对于在外半径处具有丰富纤维的磁盘，故障位置取决于纤维分布。

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