Identification of the representative crack length evolution in a multi-level interface model for quasi-brittle masonry

Abstract

International audienc

Normal and tangential stiffnesses of rough surfaces in contact via an imperfect interface model

“…Incremental normal and tangential equivalent stiffnesses at the nominal contact interface are derived, by assuming contact microgeometry be described by isolated internal cracks ( Sevostianov and Kachanov,20 08a;20 08b ) occurring in a thin interphase region. In detail, effective mechanical properties at the contact zone are consistently derived following the imperfect interface approach recently adopted by Lebon and coworkers ( Fouchal et al, 2014;Rekik and Lebon, 2010;2012 ), by coupling a homogenization approach for microcracked media based on the non-interacting approximation ( Kachanov, 1994;Kachanov and Sevostianov, 2005;Sevostianov and Kachanov, 2013;Tsukrov and Kachanov, 20 0 0 ) and the matched asymptotic expansion method, introduced by SanchezPalencia (1987) and Sanchez-Palencia and Sanchez-Hubert (1992) and recently employed by Lebon and Rizzoni (2011) , Rizzoni and Lebon (2013) , Rizzoni et al (2014) and Lebon and Zaittouni (2010) .…”

Derivation of a model of imperfect interface with finite strains and damage by asymptotic techniques: an application to masonry structures

“…The interface stiffness b 3333 (l) is obtained via a micromechanical homogenization of Kachanov-type [29,47,37,38,10], its closed-form expression reads as:…”

“…The compliance C is calculated from Eq. (2) starting from the undamaged interphase properties, and in the proposed models it results in C = 0.0014 MPa −1 (refers to [37,10] for further details). Parameter L is the characteristic length of the interfaces, resulting in L h = 210 mm and L v = 52 mm for horizontal and vertical interfaces, respectively.…”

An Experimental/Numerical Study on the Interfacial Damage of Bonded Joints for Fibre-Reinforced Polymer Profiles at Service Conditions

“…The elastic coefficients of such a material, denoted by b ijkl , depend on the averaged length l of these cracks, this parameter being considered as a damage parameter, and linearly on the thickness of the interface ε (the interface is soft). Usually, due to the small thickness of the interface, it is possible to use a matched asymptotic theory [20] in order to obtain an equivalent law of the imperfect soft interface [22,23]:…”

“…In this model, the adhesive is considered as a Kachanov-type material [18,19], where the constitutive equation of the interface is obtained after the homogenization of a micro-cracked material. Assuming that the thickness of the interface is sufficiently small, by using an asymptotic matched expansion, it is possible to obtain an equivalent law for an imperfect soft interface [20][21][22][23].…”