000015241 001__ 15241
000015241 005__ 20161115100215.0
000015241 04107 $$aeng
000015241 046__ $$k2016-08-21
000015241 100__ $$aHatano, Takahiro
000015241 24500 $$aRate and state friction law as derived from atomistic processes at asperities (INVITED)

000015241 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015241 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015241 506__ $$arestricted
000015241 520__ $$2eng$$aThe RSF law describes rock friction quantitatively and therefore it is commonly used to model earthquakes and the related phenomena. But the RSF law is rather empirical and the theoretical basis has not been very clear. Here we derive the RSF law starting from constitutive laws for asperities, and give the atomistic expressions for the empirical RSF parameters. In particular, we show that both the length constant and the state variable are given as the 0th weighted power means of the corresponding microscopic quantities: a linear dimension and the contact duration of each asperity. As a result, evolution laws for the state variable can be derived systematically. We demonstrate that the aging and the slip laws can be derived and clarify the approximations behind these two major evolution laws. Additionally, the scaling properties of the length constant are clarified for fractal distribution of asperities.

000015241 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015241 653__ $$a

000015241 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015241 720__ $$aHatano, Takahiro
000015241 8560_ $$ffischerc@itam.cas.cz
000015241 8564_ $$s43730$$uhttps://invenio.itam.cas.cz/record/15241/files/TS.SM06-2.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2156, code TS.SM06-2.01
.
000015241 962__ $$r13812
000015241 980__ $$aPAPER