Determination of stress concentration factor using applied element method

D. Lincy Christy, T.M. Madhavan Pillai, Praveen Nagarajan
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Abstract

Applied element method is a numerical tool for the analysis of structures. It is a rigid body method in which flexibility is introduced with the help of springs. It has few advantages such as lesser processing time and memory requirement than other numerical methods. In conventional numerical methods, node-to-node connection is necessary, and hence, transition elements are used to connect elements of different sizes. But in applied element method, node-to-node connection is not required, and hence, transition element is not used. As springs are used for connecting the elements, cracking can be modelled by removing the springs. Hence, failure analysis can be done more realistically using applied element method. The complete analysis up to collapse of the structure is also possible with applied element method. To illustrate this fact, applied element method is used to determine the stress concentration factor in this paper. Stress concentration factor in plate of finite width with circular and elliptical hole are determined with reasonable accuracy.

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应用单元法测定应力集中系数
应用单元法是结构分析的一种数值工具。这是一种刚体方法,在弹簧的帮助下引入了灵活性。与其他数值方法相比,该方法具有处理时间短、占用内存少等优点。在传统的数值方法中,节点到节点的连接是必要的,因此使用过渡元素来连接不同尺寸的元素。但在应用元素方法中,不需要节点到节点的连接,因此不使用转换元素。由于弹簧用于连接元件,因此可以通过移除弹簧来模拟裂缝。因此,应用应用单元法可以更真实地进行失效分析。应用单元法也可以对结构进行完整的分析,直至结构倒塌。为了说明这一点,本文采用应用单元法确定了应力集中系数。以合理的精度确定了有限宽圆孔和椭圆孔板的应力集中系数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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