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Analyzing material softening and strain localisation through embedded strong discontinuity approach within velocity-based beam formulationKusuma Chandrashekhara, Sudhanva ; Zupan, Dejan, mehanikIn 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.Source: Computers & Structures. - ISSN 0045-7949 (Vol. 301, art. 107464, sept. 2024, str. 1-16)Type of material - article, component part ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 200643843
Author
Kusuma Chandrashekhara, Sudhanva |
Zupan, Dejan, mehanik
Topics
gradbeništvo |
vključene nezveznosti |
mehčanje materiala |
prostorske rotacije |
post-kritična analiza |
lokalizacija deformacij |
civil engineering |
embedded discontinuity |
material softening |
three-dimensional rotations |
post-critical analysis
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Kusuma Chandrashekhara, Sudhanva | |
Zupan, Dejan, mehanik | 19121 |
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