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  4. A Force‐Based Beam‐Column Element With Selective Gradient‐Inelasticity for Softening Materials in 3‐Dimensional Nonlinear Analysis
 
research article

A Force‐Based Beam‐Column Element With Selective Gradient‐Inelasticity for Softening Materials in 3‐Dimensional Nonlinear Analysis

Rosa, Diego Isidoro Heredia
•
Sousa, Albano de Castro e
•
Lignos, Dimitrios G.  
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September 21, 2025
Earthquake Engineering & Structural Dynamics

Fiber‐based beam‐column elements featuring an effective material constitutive law with softening can capture the degrading response of structural members under extreme loading. However, these elements exhibit strain localization and mesh divergence, which impedes their accuracy. To tackle these issues, this paper proposes a gradient‐inelastic formulation that selectively applies gradient averaging during softening, whereas the local formulation is only employed in the elastic and the post‐yield response regimes. It is shown that the developed element formulation, which extends the conventional force‐based beam‐column element, mitigates the mesh dependence in the presence of a material constitutive formulation with softening. The proposed formulation is suitable for both 2‐ and 3‐dimensional force‐based beam‐ column elements. Validation studies with physical experiments from steel columns featuring both wide flange and hollow square sections under multiaxial monotonic and cyclic loading histories demonstrate the ability of the proposed formulation in providing mesh‐convergent moment‐chord rotation and axial shortening‐chord rotation relations even when structural members exhibit softening. The efficacy of the proposed formulation is demonstrated through 3‐dimensional nonlinear response history analysis of a 4‐story steel frame building.

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Type
research article
DOI
10.1002/eqe.70065
Author(s)
Rosa, Diego Isidoro Heredia
Sousa, Albano de Castro e

École Polytechnique Fédérale de Lausanne

Lignos, Dimitrios G.  

École Polytechnique Fédérale de Lausanne

Maity, Arka
Kanvinde, Amit
Date Issued

2025-09-21

Publisher

Wiley

Published in
Earthquake Engineering & Structural Dynamics
Article Number

eqe.70065

Subjects

3-dimensional nonlinear analysis

•

earthquake engineering

•

fiber based beam-column elements

•

gradient inelasticity

•

local buckling

•

mesh-divergence

•

softening

•

steel members

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
RESSLAB  
FunderFunding(s)Grant NumberGrant URL

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

200021_188476

National Science Foundation

CMMI‐1926202

Available on Infoscience
September 29, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/254373
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