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Constitutive Equation for Friction: Subloading-Friction Model

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Foundations of Elastoplasticity: Subloading Surface Model

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Abstract

All bodies in the natural world are exposed to friction phenomena, contacting with other bodies, except for bodies floating in a vacuum. Therefore, it is indispensable to analyze friction phenomena rigorously in addition to the deformation behavior of bodies themselves in analyses of boundary value problems. The friction phenomenon can be formulated as a constitutive relation in a similar form to the elastoplastic constitutive equation of materials. A constitutive equation for friction with the transition from the static to the kinetic friction and vice versa and the orthotropic and rotational anisotropy is described in this chapter. The stick-slip phenomenon is also delineated, which is an unstable and intermittent motion caused by the friction and thus important for the prediction of earthquake, vibration of machinery, etc.

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    Koichi Hashiguchi

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  1. Koichi Hashiguchi
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Hashiguchi, K. (2017). Constitutive Equation for Friction: Subloading-Friction Model. In: Foundations of Elastoplasticity: Subloading Surface Model. Springer, Cham. https://doi.org/10.1007/978-3-319-48821-9_18

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  • DOI: https://doi.org/10.1007/978-3-319-48821-9_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-48819-6

  • Online ISBN: 978-3-319-48821-9

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