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TECHNICAL NOTE: Theoretical analysis and Digital Photoelastic Measurement of Circular Disks Subjected to Partially Distributed Compressions

机译:技术说明:理论分析和数字光弹性测量圆形磁盘受到部分分布式按压

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摘要

The disk in diametral compression has been quoted most frequently on developing conventional/digital photoelasticity to illustrate new theories and experimental techniques for several decades. Theoretically, the compression as a concentrated force is more conducive to analysis, but it is impossible to achieve such loading condition experimentally. The distributed compression on a finite area at rim is relatively closer to actual testing and it is complicated to seek an analytical solution. In this paper, we extend the work of Hondros to derive the full-field stress distribution of disk subjected to diametral distributed compression in an explicit functional form. The principal stress difference and principal stress orientation related to isochromatic and isoclinic fringes, respectively, are also expressed in a simple closed form. The maximum shear stress for the whole disk and the validity of using isochromatic fringes to interpret the maximum shear stress are discussed in detail. The isoclinic fringes are compared with theory, and the fringe multiplication isochromatic is compared with simulated image. All of the comparisons are in good agreement with respect to full field.
机译:劈裂的磁盘已经被引用最常见的开发常规/数字光弹性说明新理论和实验几十年的技术。压缩作为一个集中力有利于分析,但这是不可能的实现这种加载条件实验。分布式压缩在一个有限区域rim比较接近实际测试它是复杂的寻求一个解析解。这篇文章中,我们扩展洪德罗斯的工作推导出细致的应力分布的磁盘受到径向分布的压缩一个显式的函数形式。差异和主应力方向相关的等色线和等倾条纹,分别也表示在一个简单的关闭表单。整个磁盘和使用等色线的有效性最大剪应力的边缘来解释详细讨论了。与理论相比,和边缘乘法等色的比较模拟图像。良好的协议对完整的领域。

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