Static and dynamic analysis of material and geometrically nonlinear frame-like structures with softening

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

In the present work, a framework is proposed for the static and dynamic analysis of spatial frame-like structures with geometric and material nonlinearities. The formulation is based on a velocity-based finite-element approach that takes into account nonlinear material properties with the localization of deformations. The distinguishing characteristic of our approach is the interpolation of velocities and angular velocities, which are taken as primary unknowns for the quasi-static and dynamic formulations. Special attention is dedicated to the evaluation of strains using the kinematic compatibility equation. The nonlinear fiber-based stress-strain constitutive law is considered at the level of cross-sections taking into account also plasticity and softening. The proposed methodology is consistent, computationally efficient and robust, and shows excellent performance even in the neighborhood of critical points and in the presence of strong nonlinearities. The performance of the proposed methodology is demonstrated using several numerical examples.

• Language: English
• Keywords: material softening, three-dimensional rotations, postcritical analysis, strain localization, material nonlinearity
• 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: 2025
• Number of pages: 13 str.
• Numbering: Vol. 151, no. 6, art. 04025058
• PID: 20.500.12556/RUL-168173
• UDC: 531:620.1
• ISSN on article: 0733-9445
• DOI: 10.1061/JSENDH.STENG-13711
• COBISS.SI-ID: 230990083
• Publication date in RUL: 01.04.2025

Record is a part of a journal

• Title: Journal of structural engineering
• Shortened title: J. struct. eng.
• Publisher: American Society of Civil Engineers
• ISSN: 0733-9445
• COBISS.SI-ID: 1336581

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: mehčanje materiala, prostorski zasuki, postkritična analiza, lokalizacija deformacij, materialna nelinearnost

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