Contact unilatéral de surfaces périodiquement rugueuses : modélisation et simulation

Abstract : Unilateral contact between two surfaces is a phenomenon often present in physics, mechanics and civil engineering. A nominally smooth surface on a macroscopic scale is actually rough on the microscopic scale. The presence of surficial roughness considerably modifies the stress distribution and the strain field in the vicinity of the surfaces in contact. Consideration of surficial roughness at the microscopic scale is often a key to understanding and modeling a large number of macroscopic interface/surface phenomena such as friction, adhesion, wear and thermal or electrical conduction. This work focuses on the unilateral contact of two half-spaces whose surfaces are periodically rough. In the first part of the work where the two half-spaces consist of two linearly elastic materials, a simple and efficient numerical approach is proposed and elaborated on the basis of the boundary element method and the matrix inversion method and by exploiting the periodicity of the problem in question. This numerical approach is first compared with and validated by available analytical results and then applied to several cases of practical interest. In the second and third parts of the work, the numerical approach proposed in the elastic case is extended to cases where the half-spaces are formed of materials that are first linearly thermoelastic and then linearly viscoelastic. Some existing analytical results in these two cases are used as benchmarks to test the accuracy and efficiency of the resulting approaches. Numerical examples are given to bring out some physical phenomena
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Karim Houanoh. Contact unilatéral de surfaces périodiquement rugueuses : modélisation et simulation. Matériaux. Université Paris-Est, 2017. Français. ⟨NNT : 2017PESC1007⟩. ⟨tel-01586043⟩

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