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首页> 外文期刊>Mechanics & Industry >Analytical approach and numerical simulation to investigate the stress field and the dynamic stress intensity factors of a cracked tooth subjected to a periodic loading
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Analytical approach and numerical simulation to investigate the stress field and the dynamic stress intensity factors of a cracked tooth subjected to a periodic loading

机译：分析方法和数值模拟研究应力场和经过周期性填料的裂纹牙齿的动态应力强度因子

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摘要

A new analytical approach was developed in this paper to study the dynamic analysis of a cracked gear tooth subjected to a periodic loading. The finite elements method (FEM) based on the contour integral technique was used in order to validate the effectiveness and reliability of the analytical formulation. A three-dimensional (3D) model of a cracked tooth was designed where a refined mesh was applied in the crack region to better simulate the stress concentration. The main objective of this study was to investigate the influence of the crack depth and the external load on the variation of the stress intensity factors (SIF) K_(I) and K_(II) associated with the opening crack modes I and II, respectively, and on the stress field near the crack tip. The obtained results show a significant agreement between the analytical results and the FEM findings.
机译：本文开发了一种新的分析方法，研究了经过周期性载荷的裂缝齿轮齿的动态分析。 基于轮廓整体技术的有限元方法（FEM）用于验证分析制剂的有效性和可靠性。 设计了裂纹齿的三维（3D）模型，其中在裂缝区域中施加精制网格以更好地模拟应力浓度。 本研究的主要目的是研究裂缝深度和外部负荷对与开口裂纹模式I和II相关的应力强度因子（SIF）K_（I）和K_（II）的变化的影响 ，以及裂缝尖端附近的应力场。 所得结果在分析结果和有限元素结果之间表现出重大协议。

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