Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulation

Kusuma Chandrashekhara, Sudhanva (author), Zupan, Dejan (author)

In this paper, we propose a novel computational formulation capable of solving the problem of material softening and the emerging localisation of strains in spatial frame-like structure, a common phenomenon for brittle heterogeneous materials. This study adopts the embedded strong discontinuity approach within our original velocity-based framework. The velocity-based formulation is thus enhanced with additional capabilities of detection of critical load level and critical cross-section and introduction of the jump-like variables at the level of velocities and angular velocities to enable more realistic description of strain localisation. A modified consistency condition is derived using the method of weighted residuals in complete accordance with the theoretical concept of strong discontinuity. One of the key advantages of the proposed method is its computational efficiency, which is preserved even after detecting cross-sectional singularities and handling post-critical localised strains. The numerical examples show the effectiveness and robustness of the proposed approach.

• Language: English
• Keywords: civil engineering, embedded discontinuity, material softening, three-dimensional rotations, post-critical analysis, strain localisation
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 16 str.
• Numbering: Vol. 301, art. 107464
• PID: 20.500.12556/RUL-159254
• UDC: 624.04:624.072
• ISSN on article: 0045-7949
• DOI: 10.1016/j.compstruc.2024.107464
• COBISS.SI-ID: 200643843
• Publication date in RUL: 04.07.2024

Record is a part of a journal

• Title: Computers & structures
• Shortened title: Comput. struct.
• Publisher: Elsevier
• ISSN: 0045-7949
• COBISS.SI-ID: 4419338

Licences

• License: CC BY-NC 4.0, Creative Commons Attribution-NonCommercial 4.0 International
• Link: http://creativecommons.org/licenses/by-nc/4.0/
• Description: A creative commons license that bans commercial use, but the users don’t have to license their derivative works on the same terms.

Secondary language

• Language: Slovenian
• Keywords: gradbeništvo, vključene nezveznosti, mehčanje materiala, prostorske rotacije, postkritična analiza, lokalizacija deformacij

Projects

• Funder: EC - European Commission
• Funding programme: H2020
• Project number: 860124
• Name: Joint Training on Numerical Modelling of Highly Flexible Structures for Industrial Applications
• Acronym: THREAD