Warping-Inclusive Kinematic Coupling in Mixed-Dimension Macro Models for Steel Wide Flange Beam Columns

Hartloper, Alexander Riley; Sousa, Albano de Castro e; Lignos, Dimitrios G.

doi:10.1061/(asce)st.1943-541x.0003211

Cited by 7 publications

(2 citation statements)

References 51 publications

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“…From a numerical point of view, EB-SSE considered in this section are composed of 1D structural FE constituting the SSE, such as truss, bar or beam FE, and mixed-dimensional coupling schemes with high-dimensional gap, 60 whereas the dimensionality refers to the number of dimensions used to parametrize the coupled FE types. 66 In view of the envisaged ERM application class, this concerns pile-type structures embedded in a background solid mesh representing the MSE.…”

Section: Embedded Fe Models For Multi-point Coupling Of 1d Structures...mentioning

confidence: 99%

Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

Granitzer,

Tschuchnigg,

Hosseini

et al. 2023

Num Anal Meth Geomechanics

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A number of problems encountered in the field of computational geotechnics requires the modelling of numerous pile‐type structures embedded in a three‐dimensional soil continuum. Traditional modelling approaches to this problem result in computational costs that must be regarded as unbearable for most practical purposes. As an attractive alternative, we propose an enhanced embedded FE model with implicit interaction surface (EB‐I) where coupling between the contacting domains is realized by an implicit surface‐to‐volume (2D‐to‐3D) coupling scheme. As a novelty, the latter implements a non‐linear interface constitutive model that allows for explicit consideration of endpoint interaction, but does not represent a constraint for the solid mesh generation. As the slender structure is discretized employing the Timoshenko beam theory, shear deformability is explicitly considered, as opposed to earlier EB‐I‐type models reassessed in this paper. The credibility of the proposed EB‐I is numerically validated on the basis of comparative studies. It is found that the 2D‐to‐3D coupling scheme generally improves the well‐posedness of the resultant global stiffness matrix, making the proposed EB‐I computationally competitive to geometrically simplified line‐to‐volume coupling schemes. Future lines of research are carefully addressed throughout this work and include the normal stress recovery technique as well as applications to large‐scale simulations.

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Section: Embedded Fe Models For Multi-point Coupling Of 1d Structures...mentioning

confidence: 99%

Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

Granitzer,

Tschuchnigg,

Hosseini

et al. 2023

Num Anal Meth Geomechanics

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show abstract

“…Over the past decades, different approaches have been proposed for achieving the transition between solids and structural elements have been proposed. These approaches can be categorized into multipoint constraints (MPC) and transition elements; see for example [6,12]. The present contribution proposes a transition element; therefore, a brief overview of the existing relevant works is provided.…”

Section: Introductionmentioning

confidence: 99%

Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses

2022

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This paper presents a novel approach to coupling beam and solid elements. Connecting standard beam elements with solid elements results in a situation where the solid part of the model covers the cross-sectional deformation, while at the beam part assumptions only consider the rigid body movement of the cross-section. Therefore, kinematic assumptions do not include cross-section deformations such as warping and contraction. Due to this restriction, spurious stresses occur at the transition zone. To circumvent this problem, this contribution introduces a mixed hybrid transition element based on an extended Hu–Washizu functional. The extension allows the cross-section to contract and warp. Compared with other approaches that include these phenomena, precomputation of the warping function is unnecessary. The present approach considers the cross-sectional deformation using local variables. On the solid interface, there are only displacement degrees of freedom (depending on the solid discretization), whereas on the beam interface, there are two displacement degrees of freedom and one rotation. This allows beam-like parts of the solid model to be replaced with standard beam elements without affecting the overall accuracy of the model. Besides solid–beam coupling, the proposed formulation can also be used to apply beam-like boundary conditions as well as stress resultants to the solid interface. For the sake of simplicity and without restricting generality, the underlying element formulation is introduced for the 2D linear elastic case. Numerical examples demonstrate that the transition element causes no spurious stress distributions on the solid part. The results of full solid models are compared with mixed beam–solid models.

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Finite element models with node-dependent kinematics based on Legendre polynomials for the global–local analysis of compact and thin walled beams

Zappino¹,

Scano²,

Carrera³

2023

Computer Methods in Applied Mechanics and Engineering

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Warping-Inclusive Kinematic Coupling in Mixed-Dimension Macro Models for Steel Wide Flange Beam Columns

Cited by 7 publications

References 51 publications

Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

Insight into numerical characteristics of embedded finite elements for pile‐type structures employing an enhanced formulation

Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses

Finite element models with node-dependent kinematics based on Legendre polynomials for the global–local analysis of compact and thin walled beams

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