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Title: | A posteriori performance-based comparison of three new path-following constraints for damage analysis of quasi-brittle materials | Authors: | FAYEZIOGHANI, Amir VANDOREN, Bram Sluys, L.J. |
Issue Date: | 2019 | Source: | Computer methods in applied mechanics and engineering, 346, p. 746-768. | Abstract: | Using a path-following algorithm to analyze a quasi-static nonlinear structural problem involves selecting an appropriate constraint function. This function should improve the desired performance targets of the path-following algorithm such as robustness, speed, accuracy, and smoothness. In order to be able to draw a fair objective selection of a constraint function, it is necessary to collect adequate constraint equations as well as to define the performance of nonlinear methods. In this paper, three new path-following constraints applicable for damage analysis of quasi-brittle materials are proposed. Additionally, performance criteria and their numerical measures for a posteriori assessment of robustness, smoothness, accuracy, and speed of solving nonlinear problems by a path-following method are proposed. Based on the proposed criteria, the performance of the three new constraints and two existing ones is compared for two example problems. As a result, the performance measures are shown to possess an ability to clearly explore the strengths of each constraint. They establish a firm basis for the assessment of not only path-following methods but also other methods for solving nonlinear structural problems. | Notes: | Vandoren, B (reprint author), Hasselt Univ, Fac Engn Technol, Hasselt, Belgium. bram.vandoren@uhasselt.be | Keywords: | performance criterion; path-following method; quasi-brittle materials; snap-back | Document URI: | http://hdl.handle.net/1942/27175 | ISSN: | 0045-7825 | e-ISSN: | 1879-2138 | DOI: | 10.1016/j.cma.2018.09.014 | ISI #: | 000456713400033 | Rights: | (C) 2018 Elsevier B.V. All rights reserved. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2020 |
Appears in Collections: | Research publications |
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elsarticle_A_posteriori_performance_rev02.pdf | Peer-reviewed author version | 2.57 MB | Adobe PDF | View/Open |
1-s2.0-S0045782518304584-main.pdf Restricted Access | Published version | 3.01 MB | Adobe PDF | View/Open Request a copy |
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