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A THREE-DIMENSIONAL FRICTION MODEL FOR ELASTIC-PLASTIC CONTACT WITH TANGENTIAL LOADING - APPLICATION TO DENTED SURFACES

机译:切向载荷的弹塑性接触的三维摩擦模型-应用于凹面

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摘要

A three-dimensional numerical model based on a semi-analytical method in the framework of small strains and small displacements with respect of Hertz's hypotheses is presented for solving an elastic-plastic dented contact with friction. The calculation of surface deformations and pressure distribution, which is the most time consuming step during the elastic-plastic algorithm, is obtained using a method based on a variational principle with a Fast Fourier Transform (FFT) and a Conjugate Gradient Method (CGM). The method is fast enough to allow investigating the effect of a small size surface defect, here a debris denting, on the subsurface elastic-plastic stress state, requiring a fine mesh with around 10~6 surface grid points. Further, the FFT approach is also involved in the calculation of internal stress state. The plasticity model is based on an incremental load and Von Mises yield criterion. The effects of the contact pressure distribution and residual strain on the geometry of the contacting surfaces yield from the Betti's reciprocal theorem with initial strain. The code is used to compute a few smooth and dented contacts, with several types of contact interfaces conditions, including frictionless and Coulomb friction. The effects of surface dents and friction on the contact pressure and subsurface stress field are presented and discussed.
机译:针对Hertz假设,提出了一种基于半解析方法的三维数值模型,该模型在小应变和小位移的框架内,用于解决弹塑性凹陷的摩擦接触。表面变形和压力分布的计算是弹塑性算法中最耗时的步骤,它是使用基于具有快速傅立叶变换(FFT)和共轭梯度法(CGM)的变分原理的方法获得的。该方法足够快,可以研究小尺寸表面缺陷(此处为碎屑凹陷)对地下弹塑性应力状态的影响,需要在大约10〜6个表面网格点处形成细网格。此外,FFT方法还涉及内部应力状态的计算。可塑性模型基于增量载荷和冯·米塞斯屈服准则。接触压力分布和残余应变对接触表面几何形状的影响来自具有初始应变的贝蒂互易定理。该代码用于计算几种具有多种接触界面条件的平滑接触和凹陷接触,包括无摩擦和库仑摩擦。提出并讨论了表面凹痕和摩擦对接触压力和地下应力场的影响。

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