A mesh-geometry based method for coupling 1D and 3D elements

Bournival, Sylvain; Cuillière, Jean-Christophe; Vincent, François

doi:10.1016/j.advengsoft.2010.02.004

Cited by 13 publications

(10 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Bathe and Ho [4] extended the classical 51 C 0 compatible displacement-rotation curved shell element application of linear multipoint constraints derived from the transformation approach, which reduces the number of equations to be solved by the number of constraints. When the multipoint constraint equations are employed, the unreasonable deformation can be observed for connecting structural and continuum elements in large strain ranges [21]. Hence, Jiain et al [22] developed a connecting procedure for shell and solid elements by imposing the multipoint constraint equations, in which the additional degrees of freedom to represent the change in thickness of shell element is considered.…”

Section: R E V I S E D P R O O Fmentioning

confidence: 99%

See 1 more Smart Citation

Numerical procedure to couple shell to solid elements by using Nitsche’s method

2018

View full text Add to dashboard Cite

This paper presents a numerical procedure to couple shell to solid elements by using the Nitsche's method. The continuity of displacements can be satisfied approximately with the penalty method, which is effective in setting the penalty parameter to a sufficiently large value. When the continuity of only displacements on the interface is applied between shell and solid elements, an unreasonable deformation may be observed near the interface. In this work, the continuity of the stress vector on the interface is considered by employing the Nitsche's method, and hence a reasonable deformation can be obtained on the interface. The authors propose two types of shell elements coupled with solid elements in this paper. One of them is the conventional MITC4 shell element, which is one of the most popular elements in engineering applications. This approach shows the capability of discretizing the domain of the structure with the different types of elements. The other is the shell element with additional degrees of freedom to represent thickness-stretch developed by the authors. In this approach, the continuity of displacements including the deformation in the thickness direction on the interface can be considered. Several numerical examples are presented to examine the fundamental performance of the proposed procedure. The behavior of the proposed simulation model is compared with that of the whole domain discretized with only solid elements. Keywords Nitsche's method • Combined modeling • Shell element • Solid element 1 Introduction Structures are constructed with various shape of components which can be modeled as solids, plates, and beams. In the finite element analysis for such structures, the whole domain is often discretized with only one type of element. This approach does not seem to be appropriate in general cases, and it may exhibit difficulty in some cases. For example, in the structure composed of an assemblage of solids and plates, the whole domain is discretized with continuum elements, the B Takeki Yamamoto

show abstract

Section: R E V I S E D P R O O Fmentioning

confidence: 99%

“…The incremental form of the variational equations (19) and (20) at time t + t are shown to be (22) where u is the incremental displacement vector from time t to t + t. Arranging the known terms and the unknown terms of the weak forms (21) and (22), the incremental variational formulations can be rewritten as…”

mentioning

confidence: 99%

Numerical procedure to couple shell to solid elements by using Nitsche’s method

2018

View full text Add to dashboard Cite

show abstract

“…Various solutions have been proposed for handling this type of inconsistency between degrees of freedom of beam and solid elements at solid-wireframe interfaces. In our case, as described with details in [40], it is solved using socalled mini-beams. As explained in [40], these mini-beams ensure a rigid connection between beam and solid finite elements 3D in the final FEA model.…”

Section: Connection Between Beam and Solid Finite Elementsmentioning

confidence: 99%

Automatic reconstruction of beam structures from 3D topology optimization results

Nana

Cuillière

Vincent

2017

Computers & Structures

Self Cite

View full text Add to dashboard Cite

This paper presents a fully-automated reconstruction of beam-like CAD solid structures from 3D topology optimization (TO) results. Raw TO results are first processed to generate a triangulation that represents boundaries of the optimal shape derived. This triangulation is then smoothed and a curve skeletonization procedure is carried out to recover meaningful characteristics of this smoothed triangulation. The resulting skeleton, made with curvilinear geometry, is transformed into straight lines through a normalization process. These straight lines are used to generate a 3D beam structure. Thus, following these steps, a 3D beam structure is automatically derived from TO results. This 3D beam structure is meshed with beam finite elements and since TO non-design material is represented by 3D solid geometry, which is meshed using tetrahedron, the FEA beam structure needs to be rigidly connected with these tetrahedrons. Rigid connections between beam elements and 3D solid elements are ensured using specific FEA beam elements referred to as mini-beams. This results in a mixed-dimensional FEA model with beam and solid finite elements. Results obtained with this mixed-dimensional FEA model allow validating the beam structure obtained from TO results. Performance of the approach is demonstrated on several TO examples.

show abstract

“…In order to overcome these computational limitations, several scientists proposed the use of hybrid models that foresee the combination of different in dimensionality finite elements that are used to discretize the frame of any structure. As it was presented by Markou et al (2018), mixed element formulations and other hybrid techniques were proposed in several publications (Nazarov (1996), Nazarov (1999), Formaggia et al (2001), Kozlov and Maz'ya (2001), Huang (2004), Urquiza et al (2006), Blanco et al (2007), Blanco et al (2008), Mata et al (2008), Bournival et al 2010), where only one of them was actually dealing with the cyclic analysis of RC frames (Mata et al 2008). In their study, used the HYMOD approach so as to develop the full-scale model of the 4-storey RC specimen that was experimentally studied in Martin et al (2013).…”

Section: Introductionmentioning

confidence: 99%

Simplified HYMOD non-linear simulations of a full-scale multistory retrofitted RC structure that undergoes multiple cyclic excitations – An infill RC wall retrofitting study

Markou

Mourlas

Bark

et al. 2018

Engineering Structures

View full text Add to dashboard Cite

Having the ability to assess the earthquake resistance of retrofitted reinforced concrete (RC) structures through accurate and objective nonlinear cyclic analysis is of great importance for both scientists and professional Civil Engineers. Full-scale RC structure simulations under ultimate limit state cyclic loading conditions through the use of 3D detail modeling techniques, is currently one of the most challenging modeling tasks that any research or commercial software can undertake. The excessive computational demand and the numerical instabilities that occur when dealing with this type of cyclic nonlinear numerical analysis, make this modeling approach impractical. The simplified hybrid modeling (HYMOD) approach is adopted in this work, which overcomes the above numerical limitations and it is used herein to illustrate the capabilities of the method in capturing the experimental results of a full-scale 4-storey RC building that was retrofitted with RC infill walls and carbon fiber reinforced polymer jacketing. This work has the aim to investigate the importance of numerically accounting for the damage that has developed at the concrete and steel domains during the analysis of problems that foresee consecutive cyclic loading tests. Based on the numerical findings, it was concluded that the proposed modeling approach was able to accurately capture the experimental data and predict the capacity degradation of the building specimen. Furthermore, the proposed method was used to numerically investigate different retrofitting configurations that foresaw the use of infill RC walls. The numerical experiments performed in this work demonstrate that the proposed modeling approach provides with the ability to study the cyclic mechanical behavior of full-scale RC structures under ultimate limit state conditions, thus paves the way in performing additional parametric investigations in determining the optimum retrofitting design of RC structures by using different types of interventions.

show abstract

A mesh-geometry based method for coupling 1D and 3D elements

Cited by 13 publications

References 8 publications

Numerical procedure to couple shell to solid elements by using Nitsche’s method

Numerical procedure to couple shell to solid elements by using Nitsche’s method

Automatic reconstruction of beam structures from 3D topology optimization results

Simplified HYMOD non-linear simulations of a full-scale multistory retrofitted RC structure that undergoes multiple cyclic excitations – An infill RC wall retrofitting study

Contact Info

Product

Resources

About