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

Materials ◽  
2020 ◽  
Vol 13 (4) ◽  
pp. 880 ◽  
Author(s):  
Elena Ferretti
Keyword(s):  
Composite Materials ◽  
Multiscale Modeling ◽  
Static Solution ◽  
Discrete Element ◽  
Shear Loading ◽  
Relaxation Techniques ◽  
Discrete Elements ◽  
Cell Method ◽  
Finite Displacements ◽  
Complete Detachment

This paper presents a new numerical method for multiscale modeling of composite materials. The new numerical model, called DECM, consists of 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.

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

2020 ◽  
Author(s):  
Elena Ferretti
Keyword(s):  
Composite Materials ◽  
Multiscale Modeling ◽  
Static Solution ◽  
Discrete Element ◽  
Shear Loading ◽  
Relaxation Techniques ◽  
Discrete Elements ◽  
Cell Method ◽  
Finite Displacements ◽  
Complete Detachment

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.

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

2019 ◽  
Author(s):  
Elena Ferretti
Keyword(s):  
Composite Materials ◽  
Multiscale Modeling ◽  
Static Solution ◽  
Discrete Element ◽  
Shear Loading ◽  
Relaxation Techniques ◽  
Discrete Elements ◽  
Cell Method ◽  
Finite Displacements ◽  
Complete Detachment

This paper deals with a DEM (Discrete Element Method) approach of the Cell Method (CM), useful for providing a multiscale modeling of composite materials. The new numerical model, called DECM, 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 a continuum, 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.

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

2020 ◽  
Author(s):  
Elena Ferretti
Keyword(s):  
Composite Materials ◽  
Multiscale Modeling ◽  
Static Solution ◽  
Discrete Element ◽  
Shear Loading ◽  
Relaxation Techniques ◽  
Discrete Elements ◽  
Cell Method ◽  
Finite Displacements ◽  
Complete Detachment

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.

Discrete Element Particle Modelling of Stone Masonry

2016 ◽  
pp. 146-170
Author(s):  
Nuno Monteiro Azevedo ◽  
José V. Lemos ◽  
João Rocha de Almeida
Keyword(s):  
Discrete Element ◽  
Masonry Wall ◽  
Shear Loading ◽  
Stone Masonry ◽  
Discrete Elements ◽  
Plane Shear ◽  
Circular Particle ◽  
Particle Assemblies ◽  
Random Particle ◽  
Fracture Processes

Circular Particle Models (PM) are a class of discrete elements which has been increasingly used for detailed analysis in rock and concrete structures. There have been few applications to masonry, but the potential of these techniques appears significant, due to their proven ability to simulate fracture processes through random particle assemblies representing quasi-brittle materials at the grain scale. The present chapter presents the fundamentals of this approach and reviews some previous applications of PM models to masonry. The model capabilities are first exemplified by simple models involving a few irregular blocks formed by particles. Irregular stone masonry wall specimens under compression and under in-plane shear loading are then presented. In these models both the units and the mortar are represented by circular particles, and failure processes through the joints or through joints and stones are analyzed. The main issues regarding the use of these models are finally discussed.

A CUBIC ARRANGED SPHERICAL DISCRETE ELEMENT MODEL

2014 ◽  
Vol 11 (05) ◽  
pp. 1350102 ◽  
Author(s):  
WEI GAO ◽  
YUANQIANG TAN ◽  
MENGYAN ZANG
Keyword(s):  
Strain Energy ◽  
Element Model ◽  
Discrete Element ◽  
Discrete Element Model ◽  
Laminated Plate ◽  
Discrete Elements ◽  
Elastic Continuum ◽  
Vibration Process ◽  
Spring Constants ◽  
Dem Model

A 3D discrete element model (DEM model) named cubic arranged discrete element model is proposed. The model treats the interaction between two connective discrete elements as an equivalent "beam" element. The spring constants between two connective elements are obtained based on the equivalence of strain energy stored in a unit volume of elastic continuum. Following that, the discrete element model proposed and its algorithm are implemented into the in-house developed code. To test the accuracy of the DEM model and its algorithm, the vibration process of the block, a homogeneous plate and laminated plate under impact loading are simulated in elastic range. By comparing the results with that calculated by using LS-DYNA, it is found that they agree with each other very well. The accuracy of the DEM model and its algorithm proposed in this paper is proved.

Improving the 3D Finite-Discrete Element Method and Its Application in the Simulation of Wheel–Sand Interactions

2018 ◽  
Vol 15 (07) ◽  
pp. 1850059 ◽  
Author(s):  
Chunlai Zhao ◽  
Mengyan Zang ◽  
Shunhua Chen ◽  
Zumei Zheng
Keyword(s):  
Finite Elements ◽  
Discrete Element Method ◽  
Size Distribution ◽  
Sphere Packing ◽  
Discrete Element ◽  
Numerical Results ◽  
Contact Detection ◽  
Discrete Elements ◽  
Contact Algorithm ◽  
Packing Algorithm

An efficient sphere-packing algorithm named hierarchical generation method (HGM) is developed. The method is capable of efficiently generating spheres with a specific size distribution in a given geometric domain. Moreover, an improved contact algorithm for contact detection between spherical discrete elements and hexahedron finite elements (INTS) is presented. The algorithm is also suitable for simulating complex wheel–sand interactions. By using the developed algorithm, the running behaviors of a chevron tread-pattern wheel on a sand bed are simulated. The sand bed model is established by HGM and wheel–sand interactions are simulated using INTS. Numerical results validate the feasibility of the proposed method in the simulation of wheel–sand interactions.

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