Efficient Fracture Modeling in Beam–Column Structures Using a Variational Damage Model

verfasst von
Huilong Ren, Xiaoying Zhuang, Yehui Bie, Hehua Zhu, Timon Rabczuk
Abstract

Traditional fracture modeling in structural mechanics (e.g., beams, bars/columns) often relies on solid elements, leading to computationally intensive simulations. In this study, we present a variational damage model specifically designed for structural mechanics to enhance the efficiency of fracture simulations in beam–column structures. The model accounts for the coupling effects of in-plane and bending deformations on damage evolution through a new mixed fracture energy density formulation. For the numerical implementation, Hermite elements are employed for beam structures in both 2D and 3D to ensure C1 continuity. The proposed formulation accurately captures the evolution of fractures in structures and demonstrates low sensitivity to mesh discretization. In addition, the proposed model significantly reduces computational cost by using fewer elements compared to solid-based fracture simulations. The effectiveness of the model is illustrated through representative 2D and 3D numerical examples that showcase its capability in structural fracture simulations.

Organisationseinheit(en)
Institut für Photonik
Externe Organisation(en)
Tongji University
Peking University
Bauhaus-Universität Weimar
Typ
Artikel
Journal
International Journal of Computational Methods
Band
22
ISSN
0219-8762
Publikationsdatum
11.2025
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Informatik (sonstige), Computational Mathematics
Elektronische Version(en)
https://doi.org/10.1142/S0219876225500161 (Zugang: Geschlossen)
 

Details im Forschungsportal „Research@Leibniz University“