Application of DEM to predict the elastic behavior of particulate composite materials

Haddad, Hamza; Leclerc, Willy; Guessasma, Mohamed; Pelegris, Christine; Ferguen, N.; Bellenger, Emmanuel

doi:10.1007/s10035-015-0574-0

Cited by 25 publications

(23 citation statements)

References 37 publications

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“…In this study, a fracture criterion, based on the computation of an equivalent Cauchy stress tensor (the so-called virial stress tensor) and maximal principal stress value, is involved. Several researches pointed out that virial stress-based model seems to be suitable for simulating elastic brittle material [4,14,24]. Mainly, virial stress tensors are used as post-processing tool for computing stress maps in a DEM calculation.…”

Section: Failure Criterion Through Virial Stress Tensormentioning

confidence: 99%

Analytic laws for direct calibration of discrete element modeling of brittle elastic media using cohesive beam model

2019

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In this study, a new methodology for the calibration of microscopic parameters for the Cohesive Beam Model (CBM) of discrete element method (DEM) applied to elastic brittle material is presented. This method enables the entry of material mechanical values directly into DEM simulations without any calibration steps. Several DEM simulations of tensile tests with different microscopic parameter values were carried out to generate a database of macroscopic parameter responses. This database was analyzed in order to deduce analytic laws by using non linear least square method. To validate the proposed calibration method, DEM simulations, that use the results of the calibrated microscopic parameters, were carried out. The macroscopic responses were compared to theoretical or experimental values. These validation tests were performed separately for two typical brittle elastic materials, i.e., soda-lime glass and alumina, with different shapes/sizes of discrete domain and various boundary conditions. Results between numerical and experimental values are in good accordance regarding the variability induced by this stochastic approach.

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Section: Failure Criterion Through Virial Stress Tensormentioning

confidence: 99%

Analytic laws for direct calibration of discrete element modeling of brittle elastic media using cohesive beam model

2019

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“…Chief among them is the virial stress, which is a generalization of the virial theorem of Clausius (1870) for gas pressure. This formulation has become very popular and widely used in different discrete methods . Therefore, it is retained in this work to bridge the discrete and continuum mechanics to develop the new densification model.…”

Section: Modeling Of Densification Under Hydrostatic Pressurementioning

confidence: 99%

Virial stress–based model to simulate the silica glass densification with the discrete element method

Jebahi

Dau

Iordanoff

et al. 2017

Numerical Meth Engineering

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International audienceThe discrete element method (DEM) presents an alternative way to model complex mechanical problems of silica glass, such as brittle fracture. Since discontinuities are naturally considered by DEM, no complex transition procedure from continuum phase to discontinuum one is required. However, to ensure that DEM can properly reproduce the silica glass cracking mechanisms, it is necessary to correctly model the different features characterizing its mechanical behavior before fracture. Particularly, it is necessary to correctly model the densification process of this material, which is known to strongly influence the fracture mechanisms. The present paper proposes a new and very promising way to model such process, which is assumed to occur only under hydrostatic pressure. An accurate predictive-corrective densification model is developed. This model shows a great flexibility to reproduce extremely complex densification features. Furthermore, it involves only one calibration parameter, which makes it very easy to apply. This new model represents a major step towards accurate modeling of materials permanent deformation with the discrete element method, which has long been a huge challenge in applying this method for continuum problems

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“…Most recently, mechanical properties and damage extension of composite materials have been analyzed by considering the representative elementary volume (REV). Haddad et al [159] developed DEM-based REV of a ceramic-particle/epoxy composite and compared elastic properties with those obtained by other numerical simulations and analytical solutions. Ismail et al [160] predicted accumulation of micro-cracks and formation of a ply-crack by using 2D-REV of unidirectional FRPs under transverse tension.…”

Section: Mechanical Behavior and Damage Accumulation In Compositesmentioning

confidence: 99%

Application of particle simulation methods to composite materials: a review

Yashiro

2016

Advanced Composite Materials

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Particle simulation methods represent deformation of an object by motion of particles, and their Lagrangian and discrete nature is suitable for explicit modeling of the microstructure of composite materials. They also facilitate handling of large deformation, separation, contact and coalescence. Mesh-free particle methods will thus be appropriate for a part of issues throughout the lifecycle of composite materials despite their high calculation cost. This study focuses on three particle simulation methods, namely, smoothed particle hydrodynamics, moving particle semi-implicit method, and discrete element method, and reviews approaches for modeling composite materials through these methods. Applicability of each method as well as advantages and drawbacks will be discussed from the viewpoint of engineering of composite materials. This reviewing study suggests capability of particle simulation methods to handle multiphysics and to predict various complex phenomena that necessitate explicit modeling of the material's microstructure consisting of reinforcements (inclusions), matrix, and voids.

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Application of DEM to predict the elastic behavior of particulate composite materials

Cited by 25 publications

References 37 publications

Analytic laws for direct calibration of discrete element modeling of brittle elastic media using cohesive beam model

Analytic laws for direct calibration of discrete element modeling of brittle elastic media using cohesive beam model

Virial stress–based model to simulate the silica glass densification with the discrete element method

Application of particle simulation methods to composite materials: a review

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