Analytical solution of a contact problem and comparison with the results from FEM

Öner, Erdal; Yaylacı, Murat; Birinci, Ahmet

doi:10.12989/sem.2015.54.4.607

Cited by 32 publications

(13 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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 [46], which is easy to manage with the Cell Method, while it is not trivial in the differential formulation [47][48][49][50][51][52][53][54].…”

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

2019

Preprint

View full text Add to dashboard Cite

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.

show abstract

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

2019

Preprint

View full text Add to dashboard Cite

show abstract

“…The interaction between the top of the subbase and the bottom of the base, the interaction between the lower surface of the subbase and the upper surface of subgrade were simulated by the use of hard contact interface elements and isotropic Coulomb friction model, the coefficient of friction was assumed 1.5. The sides between the two neighboring slabs at the joint were considered to have a zero gap with a Coulomb friction of 1.5 mimicking a restricted aggregate interlocking [24].…”

Section: Modelling Of Interfacesmentioning

confidence: 99%

Modeling of Dowel Jointed Rigid Airfield Pavement under Thermal Gradients and Dynamic Loads

2016

View full text Add to dashboard Cite

Concrete pavements have been widely used for constructing runways, taxiways, and apron areas at airports. The aviation industry has responded to increased demand for air travel by developing longer, wider, and heavier aircraft with increasing numbers of wheels to support the aircraft while in ground operation. Many researchers developed their models based on the finite element method (FEM) for the analysis of jointed concrete pavement. Despite the notable improvement, important considerations were overlooked. These simplifications may affect the results of the developed models and make them unrealistic. Sensitivity studies were conducted in this study to investigate the effect of the loading parameters on the load transfer efficiency (LTE) indictors where concept of LTE is fundamental in airfield design procedures. The effect of main gear loading magnitudes in different wheel configurations combined with positive and negative thermal gradients was investigated. The verification process was presented to increases the confidence in the model results. Understanding the response of rigid airfield pavement under such circumstances is important developing a new pavement design procedure, as well as implementing a suitable remedial measure for existing pavements. The results obtained that utilizing a dynamic load allows studying the fatigue cycles that pavement can be subjected under different wheel configurations. Moreover, the change in the thermal gradient from positive to negative significantly changed the slab curvature shape.

show abstract

“…Firstly, [15] developed a solution based on FEM for the plane contact problem of elastic bodies. Then, many researchers have solved the contact problems by using FEM [16][17][18][19][20][21][22][23][24][25]. Besides, in recent years, the studies have increased that analytical results are compared with FEM results of contact problems for FG layers [26][27][28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Investigation of the contact problem for a partial functionally graded layer by using finite element method

Polat¹,

Kaya²,

Bora³

et al. 2019

JSEAM

View full text Add to dashboard Cite

The difficulty of producing functionally graded materials (FGM) and the fact that they are more expensive than homogeneous materials emerge as an industrial problem. The starting point of this study is to investigate alternative solution methods that will contribute to the mentioned problem. In parallel, the analysis of the contact problem for a layer, which is loaded by a rigid block and resting on the elastic half plane, is presented in this paper. Only the area under the block is considered as FGM, the other parts are considered homogeneous material, unlike the studies in the literature. There is no analytical solution for this study and it is compared with the solution which is completely functionally graded (FG) layer in the literature by using finite element method (FEM). Material properties of the FG layer are defined by the macro added to the ANSYS program. The analysis for the partial FG layer were compared with the completely FG layer analysis as figures and tables, and as a result it was predicted that partial FGM could be used for the static problems and may also be practical applications in the industry.

show abstract

Analytical solution of a contact problem and comparison with the results from FEM

Cited by 32 publications

References 37 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

Modeling of Dowel Jointed Rigid Airfield Pavement under Thermal Gradients and Dynamic Loads

Investigation of the contact problem for a partial functionally graded layer by using finite element method

Contact Info

Product

Resources

About