A coupling technique for non-matching finite element meshes

Bitencourt, Luís A.G.; Manzoli, Osvaldo L.; Prazeres, Plínio Glauber Carvalho dos; Rodrigues, Eduardo A.; Bittencourt, Túlio Nogueira

doi:10.1016/j.cma.2015.02.025

Cited by 80 publications

(54 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…And the pure mesoscale simulation is generally limited to small specimens since it needs large demand of memory capability and its numerical model is very complex [10]. Thus, a common solution for large scale problems is to use a fine analysis only in the region of interest [23]. For large scale structures, the multi-scale concept is necessary [24].…”

Section: Introductionmentioning

confidence: 99%

Meso-scale image-based modeling of reinforced concrete and adaptive multi-scale analyses on damage evolution in concrete structures

Sun

Wang

2015

Computational Materials Science

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Meso-scale image-based modeling of reinforced concrete and adaptive multi-scale analyses on damage evolution in concrete structures

Sun

Wang

2015

Computational Materials Science

View full text Add to dashboard Cite

“…The model can be classified as a variation of the embedded approach, since both reinforcement layout and concrete are discretized initially in an entirely independent and non-conforming way. Coupling finite elements developed by Bitencourt Jr. et al [24] are inserted in the mesh to describe the interaction between reinforcements and concrete. This alternative approach is very appealing since it avoids the need for implementing an algorithm to detect the length of the bar embedded in each "parent" element, as is usually the case in existing embedded approaches.…”

Section: Introductionmentioning

confidence: 99%

Modeling reinforced concrete structures using coupling finite elements for discrete representation of reinforcements

Bitencourt

Manzoli

Trindade

et al. 2018

Finite Elements in Analysis and Design

Self Cite

View full text Add to dashboard Cite

This paper presents an alternative methodology to represent rebars and their bond-slip behavior against concrete based on coupling finite elements. Among the main features and advantages of the proposed technique are: (i) the coupling between the two independent meshes for concrete and reinforcement does not introduce any additional degree of freedom in the global problem; (ii) both rigid and non-rigid coupling can be used to represent the particular cases of perfect adherence and general bond-slip behavior, respectively; (iii) rebars of arbitrary geometry and orientation can be modeled; (iv) the methodology can be applied to 2D and 3D problems and (v) the formulation can be adapted to other type of finite elements and implemented easily in any existing FEM code. Constitutive models based on continuum damage mechanics are used to represent the concrete behavior and concrete-rebar interaction. A number of numerical analyses are performed and the results obtained show the versatility and accuracy of the proposed methodology.

show abstract

“…This method requires nevertheless the meshes to be perturbed at the interface to avoid gaps between curved interface, which renders the approach more complex to implement. Bitencourt et al [10] introduced a new method that assembles Coupling Finite Elements (CFEs) at the interface to build the constraints equation between interfaces Degrees of Freedom (DOFs). This approach was studied for 3D planar, 2D planar or 2D curved interfaces.…”

mentioning

confidence: 99%

Weighted Average Continuity Approach and Moment Correction: New Strategies for Non-consistent Mesh Projection in Structural Mechanics

Coniglio

Gogu

Morlier

2018

Arch Computat Methods Eng

View full text Add to dashboard Cite

Tying non-matching meshes is needed in many instances of finite element modeling. Multiple techniques have been proposed in the literature to accomplish the correct communication between different discretizations. They all seek to achieve some trade-off in terms of accuracy, complexity and computational cost. In this work we review several of the existing techniques and benchmark them on several simple test problems in terms of accuracy and computational cost. We also discuss some of the drawbacks and limitations of the existing methods. We then propose two novel contributions. First, a new approach that imposes the continuity of the displacement field at the interface in a point-wise manner only after an integral weighted averaging procedure over each interface. Second, a procedure for the correction of the interpolation operator based on the balance of internal forces and moments at the interface is proposed, which is applicable to all the reviewed methods, both existing and the new proposed one. All the considered approaches are benchmarked on several test problems in terms of various error measures for displacements, stresses, interface forces and moments, total work at the interface and computational cost.

show abstract

A coupling technique for non-matching finite element meshes

Cited by 80 publications

References 38 publications

Meso-scale image-based modeling of reinforced concrete and adaptive multi-scale analyses on damage evolution in concrete structures

Meso-scale image-based modeling of reinforced concrete and adaptive multi-scale analyses on damage evolution in concrete structures

Modeling reinforced concrete structures using coupling finite elements for discrete representation of reinforcements

Weighted Average Continuity Approach and Moment Correction: New Strategies for Non-consistent Mesh Projection in Structural Mechanics

Contact Info

Product

Resources

About