Micromechanical modeling of interface damage of metal matrix composites subjected to off-axis loading

“…It has been shown in the literature [29][30][31][32][33][34][35] that the periodic BCs in general provide a better apparent stiffness estimate for both periodic as well as random microstructures. The periodic BC makes the RVE 'self-adjoint' by point-to-point coupling of boundary displacements, thereby naturally incorporating the mechanical response of the surrounding material.Besides obtaining effective properties, RVEs are also used to study damage and strain localization phenomena, for example [36][37][38][39], just to mention a few. There is a strong interplay between microscale strain localization and microscale damage evolution.…”

mentioning

confidence: 99%

Novel boundary conditions for strain localization analyses in microstructural volume elements

Coenen

Kouznetsova

Geers

2011

Numerical Meth Engineering

116

107

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SUMMARYMulti-scale modeling frequently relies on microstructural representative volume elements (RVEs) on which macroscopic deformation is imposed through kinematical boundary conditions. A particular choice of these boundary conditions may influence the obtained effective properties. For strain localization and damage analyses, the RVE is pushed beyond the limits of its representative character, and the applied boundary conditions have a significant impact on the onset and the type of macroscopic material instability to be predicted.In this article, we propose a new type of boundary conditions for microstructural volume elements, called percolation-path-aligned boundary conditions. Intrinsically, these boundary conditions capture the constraining effect of the material surrounding the RVE upon developing localization bands. The alignment with evolving localization bands allows the highly strained band to cross the RVE and fully develop with minimal interference of the applied boundary conditions. For an illustration of the performance of the newly proposed boundary conditions, macroscopic deformation has been imposed on a voided elasto-plastic RVE using different types of boundary conditions. It is observed that the new RVE boundary conditions provide a good estimate for the effective stiffness, are not susceptible to spurious localization, and permit the development of a full strain localization band up to failure.

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“…Substituting expressions (5) and (6) into (2) and rearranging the terms of equal exponent ε, it are obtained for ε −1 and ε 0 the following equations:…”

Section: Two-scale Asymptotic Homogenization Methods (Ahm)mentioning

confidence: 99%

“…On the one hand, the effect of localized damage has been focused on micromechanical investigations, where the damage in the interface between fiber and matrix has been included in the micromechanical analysis of the repeating unit cell. Many researchers have published in this field [2][3][4][5][6][7]. In addition, there are many scientific contributions, experimental, numerical and analytical, which approach delamination problems in laminated composites, and they are mostly related to macroscale analyses in order to explain the mechanical behavior of the structure.…”

Section: Introductionmentioning

confidence: 99%

Delamination influence on elastic properties of laminated composites

et al. 2018

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The present work aims to predict the behavior of effective elastic properties for laminated composites, considering localized damage in the interface between two layers. In practical terms, the damage in the adhesion, which influences the effective elastic properties of a laminate, is evaluated like a delamination between adjacent layers. Thus, the effective properties of laminated composites with different delamination extensions are calculated via finite element method and two-scale asymptotic homogenization method. It is investigated how the properties of the laminated composites are affected by the delamination extension and the thickness of the interface between layers. It is possible to conclude that the effective coefficient values decrease as the damage extension increases due to the fact that the delamination area increases. Besides, for all effective coefficients, except the effective coefficients C * 12 , C * 13 , and C * 23 , in the case without delamination, the coefficients decrease as the adhesive region thickness increases, and almost all coefficients decrease for complete separation of the interface. Numerical and analytical results are compared in order to show the potentialities and limitations of the proposed approaches. Finally, a numerical approach is used to simulate a specific case, where the interface is considered a functionally graded material.

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Micromechanical modeling of interface damage of metal matrix composites subjected to off-axis loading

Cited by 47 publications

References 26 publications

Prediction of the thermomechanical behavior of particle-reinforced metal matrix composites

Prediction of the thermomechanical behavior of particle-reinforced metal matrix composites

Novel boundary conditions for strain localization analyses in microstructural volume elements

Delamination influence on elastic properties of laminated composites

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