Numerical modeling of contact problems with the finite element method utilizing a B-Spline surface for contact surface smoothing

Santos, Daniel Barbedo Vasconcelos; Bandeira, Alex Alves

doi:10.1590/1679-78254891

“…In this early formulation of the DECM, the boundaries of the sub-domains are the interfaces of discontinuity of the constitutive properties (Figure 2c and Figure 3). Therefore, a DECM analysis addresses the static problem between sub-domains of different materials as a static contact problem [67], which is easy to manage in the CM and not trivial in the differential formulation [68][69][70][71][72][73][74][75].…”

Section: Basic Principles Of the Discrete Elements Cell Methods (Decm)mentioning

confidence: 99%

“…Furthermore, the tile/grouting interaction at the corners of the tiles modifies the principal directions of stress in both the grouting and the subbase (Figure 4c), which provides a description of the corner effect [77,78]. Therefore, a DECM analysis addresses the static problem between sub-domains of different materials as a static contact problem [67], which is easy to manage in the CM and not trivial in the differential formulation [68][69][70][71][72][73][74][75].…”

Section: Basic Principles Of the Discrete Elements Cell Methods (Decm)mentioning

confidence: 99%

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

Ferretti

¹

2020

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 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.

show abstract

“…In this early formulation of the DECM, the boundaries of the sub-domains are the interfaces of discontinuity of the constitutive properties ( Figure 2c and Figure 3). Therefore, a DECM analysis addresses the static problem between sub-domains of different materials as a static contact problem [67], which is easy to manage with the Cell Method, while it is not trivial in the differential formulation [68][69][70][71][72][73][74][75].…”

Section: Basic Principles Of the Discrete Elements Cell Methods (Decm)mentioning

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

“…In this early formulation of the DECM, the boundaries of the sub-domains are the interfaces of discontinuity of the constitutive properties (Figure 2c and Figure 3). Therefore, a DECM analysis addresses the static problem between sub-domains of different materials as a static contact problem [66], which is easy to manage with the Cell Method, while it is not trivial in the differential formulation [67][68][69][70][71][72][73][74].…”

Section: Basic Principles Of the Discrete Elements Cell Methods (Decm)mentioning

confidence: 99%

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

Ferretti¹

2020

Preprint

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

Numerical modeling of contact problems with the finite element method utilizing a B-Spline surface for contact surface smoothing

Cited by 9 publications

References 7 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

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

Contact Info

Product

Resources

About