Abstract
AbstractContact problems are widely encountered in geotechnical engineering, such as the contact between soils and the concrete slab in earth and rockfill dams, concrete lining in a tunnel and coastal levees. Due to the unknown contact region and contact forces, the contact problems have strong boundary nonlinearity. In addition, soils have been recognized as heterogeneous materials in geotechnical engineering, and the existence of the spatial variability of soils increases the nonlinearity of the problems. In order to investigate the influence of heterogeneity on the contact problems, the penalty method is used to analyse the contact problems. In this paper, Young’s modulus, is taken to be a spatially variable. Random field theory is used to model the heterogeneity of Young’s Modulus. The results showed that the influence of heterogeneity on the elastic contact problems is significant. In order to better predict the deformation/stress in the contact bodies, the spatial variability needs to be considered.KeywordsElastic contact problemsHeterogeneityPenalty methodRandom fieldYoung’s modulus
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