Comportement asymptotique d'une interphase élastique mince

Abdelmoula, Radhi; Coutris, Michèle; Marigo, Jean‐Jacques

doi:10.1016/s1251-8069(98)80032-8

Cited by 25 publications

(51 citation statements)

References 3 publications

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“…Even though in many practical cases the adhesive is an isotropic material, typically an epoxy resin, it is possible that the process of producing a thin layer of adhesive causes the material to become anisotropic or layered. In this paper, we extend the results obtained in Abdelmoula et al (1998), Lebon and Ronel (2007), Lebon and Rizzoni (2010) to the case of an anisotropic adhesive.…”

Section: Introductionsupporting

confidence: 56%

“…Some studies, focused on adherents and a flat interphase with a comparable level of rigidity (Caillerie, 1980;Abdelmoula et al, 1998;Lebon and Ronel, 2007;Lebon and Rizzoni, 2010), have already established that at the first order (e ? 0) one obtains a perfect interface model, which prescribes the vanishing of the jumps in the stress and the displacement vectors.…”

Section: Introductionmentioning

confidence: 99%

“…0) one obtains a perfect interface model, which prescribes the vanishing of the jumps in the stress and the displacement vectors. At a higher order (the second term in the expansion), an imperfect interface model is obtained, with a transmission condition involving the first order displacement and traction vectors and their derivatives (Abdelmoula et al, 1998;Lebon and Ronel, 2007;Lebon and Rizzoni, 2010). The higher order term, giving rise to an imperfect interface model, can be interpreted as a correction of the leading solution corresponding to the perfect interface model.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic behavior of a hard thin linear elastic interphase: An energy approach

Lebon

Rizzoni²

2011

International Journal of Solids and Structures

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a b s t r a c tThe mechanical problem of two elastic bodies separated by a thin elastic film is studied here. The stiffness of the three bodies is assumed to be similar. The asymptotic behavior of the film as its thickness tends to zero is studied using a method based on asymptotic expansions and energy minimization. Several cases of interphase material symmetry are studied (from isotropy to triclinic symmetry). In each case, non-local relations are obtained relating the jumps in the displacements and stress vector fields at order one to these fields at order zero.

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Section: Introductionsupporting

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Asymptotic behavior of a hard thin linear elastic interphase: An energy approach

Lebon

Rizzoni²

2011

International Journal of Solids and Structures

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“…Another approach consists in considering that the thickness and the elasticity coefficients of the bond are small parameters compared to those of the other components of the composite. Then, using matched asymptotic expansions, it can be shown that in that case, the behavior of the interphase can be accurately approximated by an interface with an appropriate contact law, where the jump in the displacements is proportional to the stress, which is supposed to be continuous (see, for example, [8][9][10][11]). …”

Section: Introductionmentioning

confidence: 99%

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

et al. 2015

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In most composites, the fiber-matrix adhesion is imperfect; the continuity conditions for stresses and displacements are not satisfied. In this contribution, effective elastic moduli are obtained by means of the asymptotic homogenization method (AHM), for three-phase fibrous composites (matrix/mesophase/fiber) with parallelogram periodic cell. Interaction between fiber and matrix is considered, and this is called the mesophase model where the nonuniform mesophase is studied. Besides, there is another type of 1 matrix-fiber contact which is called nonuniform spring imperfect contact. In this case, the contrast or jump of the displacements in the boundary of each phase is proportional to the corresponding component of the tension in the interface in terms of a parameter given by a certain function that depends on the position. The constituents of the composites exhibit transversely isotropic properties. A doubly periodic parallelogram array of cylindrical inclusions under longitudinal shear is considered. The three-phase model is validated by the Finite Element Method and the AHM both approaches applied to two-phase composites with nonuniform spring imperfect contact. Comparisons with theoretical and experimental results verified that the present model is efficient for the analysis of composites with presence of nonuniform imperfect interface and parallelogram cell. The effect of the nonuniform imperfection on the shear effective property is observed. The present method can provide benchmark results for other numerical and approximate methods.

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“…This model, hereinafter referred as the St. Venant-Kirchhoff (SVK) interface model, was obtained by coupling arguments of asymptotic analysis (Abdelmoula et al, 1998;Benveniste, 2006;Lebon and Rizzoni, 2008, 2011Rizzoni and Lebon, 2013;Rizzoni et al, 2014), extended to the finite strain theory Rizzoni et al, 2017), with a homogenisation method for microcracked media under the non-interacting approximation (Kachanov, 1994;Mauge and Kachanov, 1994;Tsukrov and Kachanov, 2000;Sevostianov and Kachanov, 2013). This second part of the study proposes a numerical validation of the SVK interface model.…”

Section: Introductionmentioning

confidence: 99%

On modelling brick/mortar interface via a St. Venant-Kirchhoff orthotropic soft interface. Part II: in silico analysis

Lebon

Raffa

Rizzoni

2017

IJMRI

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Abstract:A new strategy for the numerical modelling of brick/mortar interfaces at the macro-scale taking into account finite strains and evolving microcracking phenomena is introduced. A numerical validation of the non-linear-imperfect interface model formulated in Part I of the present paper, is proposed. Wellestablished experimental data concerning diagonal compression of masonry walls are simulated within the finite element method. The localisation zones of highest displacement jumps and stresses obtained through the numerical simulations are in good agreement with the experimental findings. The proposed non-linear interface model is also compared with a linear interface model for masonry structures.

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Comportement asymptotique d'une interphase élastique mince

Cited by 25 publications

References 3 publications

Asymptotic behavior of a hard thin linear elastic interphase: An energy approach

Asymptotic behavior of a hard thin linear elastic interphase: An energy approach

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

On modelling brick/mortar interface via a St. Venant-Kirchhoff orthotropic soft interface. Part II: in silico analysis

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