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On the accuracy of the Hertz model to describe the normal contact of soft elastic spheres

机译：关于描述软弹性球体法向接触的Hertz模型的准确性

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摘要

The finite element method is used to investigate the validity of the Hertz model for normal contact under conditions that violate some of the assumptions on which the Hertz model was derived. The conditions investigated are: frictional contact, non-flat contact surface and large strains. The investigations were performed for the case of two elastic spheres in contact as well as that of a sphere in contact with a flat plate. The existence of friction for normal contact does not appear to lead to any erroneous predictions of the force-deflection relationship by the Hertz model. The Hertz model also does not appear to predict significant errors when the contact surface is not flat. However, large strains were found to cause important prediction errors by the Hertz model. Calibration curves for the corrections on the Hertz model are proposed.
机译：有限元方法用于调查在违反某些推导Hertz模型的假设的条件下正常接触的Hertz模型的有效性。研究的条件是：摩擦接触，非平坦接触表面和大应变。对于两个接触的弹性球体以及与平板接触的球体进行了研究。正常接触的摩擦力的存在似乎不会导致通过赫兹模型对力-挠度关系的任何错误预测。当接触表面不平坦时，Hertz模型似乎也无法预测重大误差。然而，通过赫兹模型发现大的应变会引起重要的预测误差。提出了用于赫兹模型校正的校准曲线。

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  • 来源
    《Granular matter》 |2008年第3期|p.209-221|共13页
  • 作者

    Edward Dintwa; Engelbert Tijskens; Herman Ramon;

  • 作者单位

    Division of Mechtronics, Biostatistics and Sensors, Department of Biosystems, Katholieke Universitiet Leuven, Kasteelpark Arenberg 30, Leuven 3000, Belgium;

    rnDivision of Mechtronics, Biostatistics and Sensors, Department of Biosystems, Katholieke Universitiet Leuven, Kasteelpark Arenberg 30, Leuven 3000, Belgium;

    rnDivision of Mechtronics, Biostatistics and Sensors, Department of Biosystems, Katholieke Universitiet Leuven, Kasteelpark Arenberg 30, Leuven 3000, Belgium;

  • 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

    normal contact force; hertz model; friction; finite element model; finite deformation;

    机译：正常接触力赫兹模型摩擦;有限元模型有限变形;

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