Abstract
To deepen the understanding of the frictional sliding phenomena of rough surfaces, advances are required in numerical analysis methods at various spatial scales. In this study, to examine the microscopic behavior of a rough asperity contact corresponding to a bulk contact on the macroscopic scale, a loop-type meso–macro coupled analysis scheme is proposed. A mesoscale numerical model and a macroscopic friction model are required for the proposed multi-scale analysis. A friction model was adopted based on the multipoint contact model for the mesoscale model, and the pressure- and state-dependent elastoplastic analogy friction model was used for the macroscale model. In the proposed meso¬¬–macro coupled analysis, the parameter set for the elastoplastic analogy friction model was first identified via a numerical friction test using the mesoscale multipoint contact model assuming various conditions. Then, a macroscale finite element analysis incorporating the elastoplastic analogy friction model was performed for the macroscopic analysis of contact between a rough rubber hemisphere and a smooth plate. Here, the information from the mesoscale rough surfaces were reflected in the macroscale finite element analysis. Finally, a mesoscale localization analysis was performed in which the macroscopic histories of several typical locations were obtained by finite element analysis and used as boundary conditions for the mesoscale model. It is suggested that the microscopic sliding process of rough surfaces represented by the finite element analysis can be examined using the proposed method.
Highlights
Friction is an important physical phenomenon in mechanical engineering
It is widely known that rubber friction can be categorized into two main components: adhesion friction and hysteresis friction (Tabor, 1960; Schallamach, 1971; Fuller and Tabor, 1975; Roberts, 1992; Persson, 2001)
The rate, state, and pressure-dependent elastoplastic analogy friction model previously proposed by the authors was used as the macroscale friction model (Ozaki et al, 2020)
Summary
Friction is an important physical phenomenon in mechanical engineering. For example, friction between sliding parts of machines accounts for the majority of energy loss, and causes failure. In practice, contact surfaces that need to be engineered often have uncertainties due to roughness; they have no periodicity or regularity This makes it difficult to apply bi-directionally coupled (strong coupling) multiscale analysis methods, such as the homogenization method used in computational solid mechanics, to frictional contact problems. The “mesoscale multipoint contact model” and the “macroscale finite element analysis model” are linked via the “rate-, state-, and pressure-dependent friction model" proposed by the authors (Ozaki et al, 2020). Based on this scheme, the analysis results at each scale can be mutually expanded, and a multiscale understanding of the frictional sliding phenomena becomes possible. Study the elementary behavior on the mesoscale corresponding to the macroscale analysis results
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