Open Access

ARTICLE

Micromechanics Based Stress-Displacement Relationships of Rough Contacts: Numerical Implementation under Combined Normal and Shear Loading

Anil Misra¹, Shiping Huang¹

1 Department of Civil, Environmental and Architectural Engineering, the University of Kansas, KS, U.S.A.

Computer Modeling in Engineering & Sciences 2009, 52(2), 197-216. https://doi.org/10.3970/cmes.2009.052.197

Abstract

The behavior of contact between solid bodies with rough surfaces under combined normal and shear loading remains a problem of interest in many areas of engineering. In this paper, we have utilized a micromechanical methodology to derive an expression of stress-displacement relationship applicable to combined normal and shear loading conditions. The micromechanical methodology considers the mechanics of asperity contacts and the interface roughness in terms of asperity height and asperity contact orientation distribution. A numerical procedure is implemented to evaluate the derived expressions under complex and mixed loading conditions using an incremental approach. We find that the proposed numerical procedure provides accurate results under all kind of loading conditions, although the number of steps to convergence depends upon the initial assumption. The results show that the interface closure behavior is highly nonlinear and does not follow a power-law although a Hertzian model is used for asperity contacts. Numerical results also confirm the experimental observation that rougher interfaces are softer and have higher frictional strength compared to smooth interfaces under shear loading.

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