Constitutive behaviors of composites with interface debonding: the extended Mori–Tanaka method for uniaxial tension

Tan, Henry; Huang, Yingsong; Liu, Cheng; Ravichandran, G.; Paulino, Gláucio H.

doi:10.1007/s10704-007-9155-5

Cited by 31 publications

(8 citation statements)

References 29 publications

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“…They first determined the mechanical properties of particles/matrix interfaces based on a bilinear Cohesive Zone Model (CZM) approach [11]. Then, the cohesive behaviour of interfaces was introduced into High-Dilute and Mori-Tanaka homogenisation schemes under hydrostatic loading conditions [12] and uniaxial loading [13]. Comparisons with numerical results showed good correlation between numerical and analytical models especially concerning the evaluation of particle volume fraction and size effects on particle debonding [14].…”

Section: Introductionmentioning

confidence: 99%

A mean-field homogenisation scheme with CZM-based interfaces describing progressive inclusions debonding

Gentieu

Catapano

Jumel

et al. 2019

Composite Structures

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The objective of the present study is to describe the progressive debonding of inclusions in particle or fibre reinforced composites. To do so, the meanfield homogenisation scheme of Mori-Tanaka is enriched to take into account imperfect interfaces. The interfaces are modelled by a bilinear Cohesive Zone Model (CZM) taking into account normal and tangential effects. Results obtained with this new mean-field homogenisation scheme are compared to 2D FE-based numerical simulations that are used as reference results. The effects of inclusions volume fraction and size are also observed.

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Section: Introductionmentioning

confidence: 99%

A mean-field homogenisation scheme with CZM-based interfaces describing progressive inclusions debonding

Gentieu

Catapano

Jumel

et al. 2019

Composite Structures

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“…The elastic properties of the constituents and the volume fractions of the different phases are considered in the formulation. Macroscopic stress and strain are obtained from the corresponding average field quantities of the respective phases [13] as:…”

Section: Micromechanical Modelmentioning

confidence: 99%

Micromechanical Characterization of Energy Dissipative Mechanisms in Fracture Process Zone

Dutta¹,

Chandra²

2016

Proceedings of the 9th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Abstract. Debonding of coarse aggregates from the surrounding matrix is considered as a major energy dissipative mechanism which affects the mechanical behavior of cementitious composites like concrete. In the present work, a micromechanical model has been developed to study the effect of debonding on the macroscopic behavior of concrete. Concrete is modeled as a two phase composite and a linear softening law has been used to characterize the interface between the phases. Numerical analysis is carried out to obtain the macroscopic stress-strain behavior under uniaxial tension. A parametric study is conducted to study how the various material properties of the individual phases affect the overall stress-strain behavior of concrete, with special emphasis on the post-peak softening.

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“…Analytical methods for modeling reinforced composite materials considering imperfect interface conditions have been developed recently [149][150][151][152][153][154][155][156][157][158][159][160][161][162][163]. Also, the importance of the interphase zone in modeling composite materials has been discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

Saeb

Steinmann

Javili

2016

Applied Mechanics Reviews

185

138

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The objective of this contribution is to present a unifying review on strain-driven computational homogenization at finite strains, thereby elaborating on computational aspects of the finite element method. The underlying assumption of computational homogenization is separation of length scales, and hence, computing the material response at the macroscopic scale from averaging the microscopic behavior. In doing so, the energetic equivalence between the two scales, the Hill-Mandel condition, is guaranteed via imposing proper boundary conditions such as linear displacement, periodic displacement and antiperiodic traction, and constant traction boundary conditions. Focus is given on the finite element implementation of these boundary conditions and their influence on the overall response of the material. Computational frameworks for all canonical boundary conditions are briefly formulated in order to demonstrate similarities and differences among the various boundary conditions. Furthermore, we detail on the computational aspects of the classical Reuss' and Voigt's bounds and their extensions to finite strains. A concise and clear formulation for computing the macroscopic tangent necessary for FE 2 calculations is presented. The performances of the proposed schemes are illustrated via a series of two-and three-dimensional numerical examples. The numerical examples provide enough details to serve as benchmarks.

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Constitutive behaviors of composites with interface debonding: the extended Mori–Tanaka method for uniaxial tension

Cited by 31 publications

References 29 publications

A mean-field homogenisation scheme with CZM-based interfaces describing progressive inclusions debonding

A mean-field homogenisation scheme with CZM-based interfaces describing progressive inclusions debonding

Micromechanical Characterization of Energy Dissipative Mechanisms in Fracture Process Zone

Aspects of Computational Homogenization at Finite Deformations: A Unifying Review From Reuss' to Voigt's Bound

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