A Model for Homogenization of Linear Viscoelastic Periodic Composite Materials with Imperfect Interface

Filho, Romildo dos Santos Escarpini; Marques, Severino P. C.

doi:10.1590/1679-78252749

Cited by 7 publications

(3 citation statements)

References 35 publications

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“…It is worth mentioning that conventional adhesives such as waterbased polymers generally exhibit viscoelastic properties (see [1,2]), hence the importance of studying the viscoelastic response in imperfect interfaces models. In this regard, recent studies address the influence of viscoelastic imperfect interfaces in composite materials (see, e.g., [3][4][5][6][7]).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Imperfect Viscoelastic Interfaces in Composite Materials

et al. 2022

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The present work deals with hierarchical composites in three dimensions, whose constituents behave as non-aging linear viscoelastic materials. We model the influence that imperfect viscoelastic interfaces have on the macroscopic effective response of these structures. As an initial approach, the problem of two bodies in adhesion is studied and in particular the case of soft viscoelastic interface at zero-order is considered. We deduce the integral form of the viscoelastic interface by applying the matched asymptotic expansion method, the correspondence principle, and the Laplace–Carson transform. Then, by adapting the integral form previously obtained, we address a heterogeneous problem for periodic structures. Here, theoretical results obtained for perfect interfaces are extended to the formal viscoelastic counterpart of the spring-type imperfect interface model. Finally, we show the potential of the proposed approach by performing calculations of effective properties in heterogeneous structures with two- and three-scale geometrical configurations and imperfect viscoelastic interfaces.

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Section: Introductionmentioning

confidence: 99%

Modeling of Imperfect Viscoelastic Interfaces in Composite Materials

et al. 2022

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“…Closed‐form solutions were derived on the basis of Fourier series analysis. The theoretical model for evaluation of the effective relaxation modulus of unidirectionally reinforced periodic heterogeneous viscoelastic materials with flexible interphases between constituents was presented by Escarpini Filho and Marques . This approach is based on the finite‐volume direct averaging micromechanics theory and can be applied to linear viscoelastic materials.…”

Section: Introductionmentioning

confidence: 99%

An adaptive MsFEM for nonperiodic viscoelastic composites

Klimczak

Cecot

2018

Numerical Meth Engineering

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Summary We present a modification of the multiscale finite element method (MsFEM) for modeling of heterogeneous viscoelastic materials and an enhancement of this method by the adaptive generation of both meshes, ie, a macroscale coarse one and a microscale fine one. The fine mesh refinements are performed independently within coarse elements adjusting the microscale discretization to the microstructure, whereas the coarse mesh adaptation optimizes the macroscale approximation. Besides the coupling of the hp‐adaptive finite element method with the MsFEM we propose a modification of the MsFEM to accommodate for the analysis of transient nonlinear problems. We illustrate the efficiency and accuracy of the new approach for a number of benchmark examples, including the modeling of functionally graded material, and demonstrate the potential of our improvement for upscaling nonperiodic and nonlinear composites.

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“…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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A Model for Homogenization of Linear Viscoelastic Periodic Composite Materials with Imperfect Interface

Cited by 7 publications

References 35 publications

Modeling of Imperfect Viscoelastic Interfaces in Composite Materials

Modeling of Imperfect Viscoelastic Interfaces in Composite Materials

An adaptive MsFEM for nonperiodic viscoelastic composites

Delamination influence on elastic properties of laminated composites

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