Asymptotic analysis of an adhesive joint with mismatch strain

Rizzoni, Raffaella; Lebon, Frédéric

doi:10.1016/j.euromechsol.2012.02.005

Cited by 19 publications

(16 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the works of Lebon and Rizzoni [10,11,22,23], a two-level model is introduced in such a manner that the interphase is replaced by a perfect interface at the first level, and by an imperfect interface at the second level, the latter being considered a correction of the leading solution. In [10], they consider an adhesive joint from the point of view of displacement, while [11] extends the work to the anisotropic case.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Andreeva

Zagnetko

2016

Journal of the European Ceramic Society

View full text Add to dashboard Cite

a b s t r a c tThis paper considers the problem of heat transfer in a composite ceramic material where the structural elements are bonded to the matrix via a thin heat resistant adhesive layer. The layer has the form of a circular ring or close to it. Using an asymptotic approach, the interphase is modelled by an infinitesimal imperfect interface, preserving the main features of the temperature fields around the interphase, and allowing a significant simplification where FEM analysis is concerned. The nonlinear transmission conditions that accompany such an imperfect interface are evaluated, and their accuracy is verified by means of dedicated analytical examples as well as carefully designed FEM simulations. The interphases of various geometries are analysed, with an emphasis on the influence of the curvature of their boundaries on the accuracy of the evaluated conditions. Numerical results demonstrate the benefits of the approach and its limitations.

show abstract

Section: Introductionmentioning

confidence: 99%

“…In [10], they consider an adhesive joint from the point of view of displacement, while [11] extends the work to the anisotropic case. The method is then applied to a thin interphase with a mismatch strain in [22], while [23] deals with a curved thin elastic interphase.…”

Section: Introductionmentioning

confidence: 99%

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Andreeva

Zagnetko

2016

Journal of the European Ceramic Society

View full text Add to dashboard Cite

show abstract

“…However, defects induced during the manufacturing process or accumulated due to environmental and operational loads lead to the reduction in the mechanical performance and material strength and are recognized as a general problem in this type of composites, [1]. Most typically, such defects can be found at the interfaces between the layers creating an imperfect contact condition, [2,3].…”

Section: Introductionmentioning

confidence: 99%

Behavior of laminated shell composite with imperfect contact between the layers

Guinovart-Sanjuán

Rizzoni

Rodrı́guez-Ramos

et al. 2017

Composite Structures

Self Cite

View full text Add to dashboard Cite

The paper focuses on the calculation of the effective elastic properties of a laminated composite shell with imperfect contact between the layers. To achieve this goal, first the two-scale asymptotic homogenization method (AHM) is applied to derive the solutions for the local problems and to obtain the effective elastic properties of a two-layer spherical shell with imperfect contact between the layers. The results are compared with the numerical solution obtained by finite elements method (FEM). The limit case of a laminate shell composite with perfect contact at the interface is recovered. Second, the elastic properties of a spherical heterogeneous structure with isotropic periodic microstructure and imperfect contact is analyzed with the spherical assemblage model (SAM). The homogenized equilibrium equation for a spherical composite is solved using AHM and the results are compared with the exact analytical solution obtained with SAM.

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

Asymptotic analysis of an adhesive joint with mismatch strain

Cited by 19 publications

References 26 publications

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Transmission conditions for thin curvilinear close to circular heat-resistant interphases in composite ceramics

Behavior of laminated shell composite with imperfect contact between the layers

Analysis of fibrous elastic composites with nonuniform imperfect adhesion

Contact Info

Product

Resources

About