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首页> 外文期刊>Applied Mathematical Modelling >An effective method for calculating elasto-plastic contact pressure and contact patch size under elliptical, circular and line contact conditions
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An effective method for calculating elasto-plastic contact pressure and contact patch size under elliptical, circular and line contact conditions

机译：一种有效的方法，用于计算弹性塑料接触压力和椭圆形，圆形和线路接触条件下的接触贴片尺寸

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摘要

According to the Hertz's contact theory (HCT) and considering the strain hardening of materials, an effective calculation method is proposed for solving the elasto-plastic contact pressure and the contact patch size under arbitrary smooth and continuous contact conditions. Firstly, it is assumed that the outer and inner edges of the contact patch are elastic and elasto-plastic contact zones, respectively, the contact pressure in the elastic contact zone satisfies the HCT, while the contact pressure in the elasto-plastic contact zone is the superposition of a constant contact pressure and several small ellipsoidal distribution contact pressures. Then, the explicit expressions of contact patch size and contact pressure under the elasto-plastic elliptical, circular and line contact conditions are derived, respectively. Subsequently, the accuracy and applicability of the proposed method are evaluated by comparing the predicted results with the finite element simulations. Finally, the accuracy of the proposed method is further verified by comparing the predicted results with the typical results in literature. It is shown that the proposed method has high calculation accuracy, and the maximum relative errors are 9.32% for the elliptical contact, 4.61% for the circular contact and 11.84% for the line contact, respectively. Meanwhile, the proposed method can effectively predict the contact pressure distribution under the elasto-plastic elliptical, circular and line contacts, and shows a general applicability for different contact materials, contact-body's sizes and normal external loads, as well as for the elasto-plastic wheel-rail contact analysis.
机译：根据赫兹的接触理论（HCT）并考虑材料的应变硬化，提出了一种有效的计算方法，用于在任意平滑和连续的接触条件下求解弹性塑料接触压力和接触贴片尺寸。首先，假设接触贴片的外边缘分别是弹性和弹性塑料接触区，弹性接触区的接触压力满足HCT，而弹性塑料接触区的接触压力是恒定接触压力的叠加和几个小的椭圆分布接触压力。然后，分别衍生出弹性塑料椭圆形，圆形和线接触条件下的接触贴片尺寸和接触压力的显式表达。随后，通过将预测结果与有限元模拟进行比较来评估所提出的方法的准确性和适用性。最后，通过将预测结果与文献中的典型结果进行比较，进一步验证所提出的方法的准确性。结果表明，该方法具有高计算精度，椭圆接触的最大相对误差为9.32％，圆形接触的4.61％分别为11.84％的线路接触。同时，该方法可以有效地预测弹塑性椭圆形，圆形和线触点下的接触压力分布，并为不同的接触材料，接触体尺寸和正常的外部负荷以及弹性进行了一般适用性，以及弹性 - 塑料轮轨接触分析。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第7期|541-574|共34页
  • 作者

    Jizhong Zhao; Peilin Fu; Xu Zhang; Liucheng Zhou; Ping Wang; Qianhua Kan;

  • 作者单位

    Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

    Science and Technology on Plasma Dynamics Laboratory Air Force Engineering University Xi'an 710038 China;

    Key Laboratory of High-speed Railway Engineering Ministry of Education Southwest Jiaotong University Chengdu 610031 China;

    Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province School of Mechanics and Engineering Southwest Jiaotong University Chengdu 610031 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Elasto-plastic contact; Contact pressure; Contact patch size; Hertz's contact theory; Prediction accuracy;

    机译：弹性塑料接触;接触压力;接触补丁尺寸;赫兹的联系理论;预测准确性;

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