Discrete element method to simulate the elastic behavior of 3D heterogeneous continuous media

Leclerc, Willy

doi:10.1016/j.ijsolstr.2017.05.018

“…Since the twin nodes can also relax, they behave like the contact points of the DEM models with the advantage that the reaction forces of the twin nodes make the use of cohesive models at the interfaces between discrete elements no longer necessary to model the continuity of matter. Therefore, the reaction forces of the DECM twin nodes play the same role as the generalized forces in the cohesive beam model of the DEM approaches [23].…”

Section: How To Deal With Two-dimensional Problemsmentioning

confidence: 99%

“…The identification of adequate cohesion laws between particles in direct contact is of fundamental importance to obtain an accurate modeling of the continuity of matter [22]. Some recent DEM approaches describe the cohesive bonds using a cohesive beam model based on Euler/Bernoulli theory, also including coupling terms between bending and tangential effects [23]. In 3D domains, this results in a six-component vector of the generalized forces acting as attractive internal forces between two particles in contact: one normal component to counteract the relative normal displacement in traction, two tangential components to counteract the relative tangential displacements, and three moment components to prevent both bending and twisting effects.…”

Section: Introductionmentioning

confidence: 99%

DECM: A Discrete Element for Multiscale Modeling of Composite Materials Using the Cell Method

Ferretti¹

2020

Preprint

2

0

View full text Add to dashboard Cite

This paper presents a new numerical method for multiscale modeling of composite materials. The new numerical model, called DECM, consists in a DEM (Discrete Element Method) approach of the Cell Method (CM) and combines the main features of both the DEM and the CM. In particular, it offers the same degree of detail as the CM, on the microscale, and manages the discrete elements individually such as the DEM—allowing finite displacements and rotations—on the macroscale. Moreover, the DECM is able to activate crack propagation until complete detachment and automatically recognizes new contacts. Unlike other DEM approaches for modeling failure mechanisms in continuous media, the DECM does not require prior knowledge of the failure position. Furthermore, the DECM solves the problems in the space domain directly. Therefore, it does not require any dynamic relaxation techniques to obtain the static solution. For the sake of example, the paper shows the results offered by the DECM for axial and shear loading of a composite two-dimensional domain with periodic round inclusions. The paper also offers some insights into how the inclusions modify the stress field into composite continua.

show abstract

“…Originally designed for granular materials [37][38][39], and extended more recently to continuous materials [40][41][42][43] the Discrete Element Method (DEM) based on spherical elements can naturally elucidate topological modifications (crack propagation, multiple cracking, crack branching, etc …), which makes it appropriate to model extrinsic reinforcement mechanisms. In contrary to cohesive zones modeling, the crack path location does not need to be predefined in DEM.…”

Section: Introductionmentioning

confidence: 99%

Strength and toughness trade-off optimization of nacre-like ceramic composites

Radi¹,

Jauffrès²,

Deville³

et al. 2020

Composites Part B: Engineering

View full text Add to dashboard Cite

Bio-inspired by abalone nacre, all ceramic brick-and-mortar composites with impressive mechanical properties have been recently manufactured. Albeit comprising only brittle constituents, extrinsic reinforcement mechanisms impart to these nacre-like ceramics high toughness and non-catastrophic crack propagation properties. While several models have been developed to understand the mechanical properties of natural and synthetic brick-and-mortar materials, they have always considered a ductile interface and focused mostly on intrinsic toughening mechanisms. Modeling so far has not captured the extrinsic toughening mechanisms responsible for the properties of nacre-like ceramics. Here we show that the Discrete Element Method (DEM) can account for reinforcement mechanisms such as microcracking and crack deflection, and quantitatively assess strength, initiation toughness and crack growth toughness. Two approaches are studied to enhance strength and toughness of nacre-like ceramics, either by reinforcing the interface globally (an increase of the interface strength) or locally (addition of nano-bridges). We combine the results to provide design guidelines for synthetic brick-and-mortar composites comprising only brittle constituents.

show abstract

“…The identification of adequate cohesion laws between particles in direct contact is of fundamental importance to obtain an accurate modeling of the continuity of matter [27]. Some recent DEM approaches describe the cohesive bonds using a cohesive beam model based on Euler/Bernoulli theory, also including coupling terms between bending and tangential effects [28]. In 3D domains, this results in a six-component vector of the generalized forces acting as attractive internal forces between two particles in contact: one normal component to counteract the relative normal displacement in traction, two tangential components to counteract the relative tangential displacements, and three moment components to prevent both bending and twisting effects.…”

Section: Introductionmentioning

confidence: 99%

DECM: A Discrete Element for Multiscale Modeling of Composite Materials Using the Cell Method

Ferretti¹

2020

Preprint

View full text Add to dashboard Cite

This paper presents a new numerical method for multiscale modeling of composite materials. The new numerical model, called DECM, consists in a DEM (Discrete Element Method) approach of the Cell Method (CM) and combines the main features of both the DEM and the CM. In particular, it offers the same degree of detail as the CM, on the microscale, and manages the discrete elements individually such as the DEM—allowing finite displacements and rotations—on the macroscale. Moreover, the DECM is able to activate crack propagation until complete detachment and automatically recognizes new contacts. Unlike other DEM approaches for modeling failure mechanisms in continuous media, the DECM does not require prior knowledge of the failure position. Furthermore, the DECM solves the problems in the space domain directly. Therefore, it does not require any dynamic relaxation techniques to obtain the static solution. For the sake of example, the paper shows the results offered by the DECM for axial and shear loading of a composite two-dimensional domain with periodic round inclusions. The paper also offers some insights into how the inclusions modify the stress field in composite continua.

show abstract

Discrete element method to simulate the elastic behavior of 3D heterogeneous continuous media

Cited by 38 publications

References 30 publications

DECM: A Discrete Element for Multiscale Modeling of Composite Materials Using the Cell Method

DECM: A Discrete Element for Multiscale Modeling of Composite Materials Using the Cell Method

Strength and toughness trade-off optimization of nacre-like ceramic composites

DECM: A Discrete Element for Multiscale Modeling of Composite Materials Using the Cell Method

Contact Info

Product

Resources

About