DOI: 10.4203/ccp.75.65
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Analysis of Non-Linear Soft Thin Interfaces

Abstract: This paper shows how to model thin layers and interfaces by asymptotic techniques. Some behaviors are treated: visco-elasticity (Maxwell, Kelvin-Voigt, Norton), Mohr-Coulomb non-associated elasto-plasticity, non-monotone relationship in the strainstress diagram and contact conditions between the adhesive and the adherents. Numerical validations and algorithms are proposed and presented.

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Cited by 12 publications
(17 citation statements)
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“…The mechanical properties of this layer are obtained by applying an asymptotic limit analysis procedure (Lebon and Ronel-Idrissi, 2007;Lebon et al, 1998Lebon et al, , 2004. For this purpose, it is proposed first to obtain the mechanical properties of the 3-D material obtained by homogenizing those of brick and mortar.…”
Section: Effective Properties Of the Brick-mortar Laminamentioning
confidence: 99%
“…The mechanical properties of this layer are obtained by applying an asymptotic limit analysis procedure (Lebon and Ronel-Idrissi, 2007;Lebon et al, 1998Lebon et al, , 2004. For this purpose, it is proposed first to obtain the mechanical properties of the 3-D material obtained by homogenizing those of brick and mortar.…”
Section: Effective Properties Of the Brick-mortar Laminamentioning
confidence: 99%
“…In these mathematical studies [35][36][37], the thickness tends to zero and the interface is replaced by a constraint condition between layers, whether they are linear or not [38].…”
Section: A Layerwise Model With Imperfect Interfacesmentioning
confidence: 99%
“…in Klarbring (1991), Abdelmoula et al (1998) and Geymonat et al (1999). In this framework, ''soft'' and ''hard'' interface models have been derived (Lebon et al, 2004;Lebon and Rizzoni, 2010), even considering nonlinear constitutive laws. Moreover, first order and second order theories have been obtained considering the terms at zero order and at first order of the asymptotic expansion, respectively.…”
Section: Introductionmentioning
confidence: 99%