Statistical modelling of rough surfaces and finite element contact analysis

• Autorzy: Buczkowski R.
• Języki publikacji: EN

Abstrakty

EN

In the present work statistical aspects of the micromechanics of normal and tangential models between metallic rough surfaces are described. A detailed statistical analysis of rough surfaces is performed in terms of asperity (peak or summit) distribution and the distribution of curvature at the asperities. A random surface model of asperities with the Gaussian height distribution combined with mechanical description of a single peak based on the Hertz theory coupled with the Mindlin friction theory is investigated. The complete description of anisotropic random surfaces is restricted here to strongly rough surfaces; for such surfaces the summits are represented by highly eccentric elliptic paraboloids having their semimajor axes oriented in the derection of the grain. Some of the limitations of early contact models have been successively overcome by more generalized model in order to incorporate the deformation of asperities to be assumed elasto-plastic. Because the 20-node solid element of serendipity family does not fulfill the physical contact requirements properly (the equivalent nodal forces include negative values) an original 21-node three-dimensional transient element for contact problem was developed. The quadratic line and plane zero-thickness diagonal joint elements obtained by Lobatto integration scheme have been implemented for simulation of the displacement discontinuity at the contact syrface (separation, slip along the interface). Essentially most of the study is devoted to the three-dimensional contact analysis taking into account the anisotropic properties between two contacting bodies in presence of the unilateral contact conditions and non-linear friction coefficients in both the principal tangential directions. The statistical contact algorithms have been coded into both workstation Sun Ultra 1 and supercomputer SGI Power Challenge XL finite element programs for static 2D- and 3D- dimensional elasto-plastic contact analysis. Some examples have been selected to demonstrate applicability of the proposed method.

Słowa kluczowe

EN

statistical modelling; numerical analysis

PL

teoria statystyczna; analiza numeryczna; modele statystyczne

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Prace Instytutu Podstawowych Problemów Techniki PAN
• Rocznik: 1999
• Tom: nr 3
• Strony: 3--118
• Opis fizyczny: Bibliogr. 208 poz., tab., wykr.

Twórcy

autor

Buczkowski R.

• Technical University of Szczecin

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