期刊
ENGINEERING FRACTURE MECHANICS
卷 77, 期 12, 页码 2263-2276出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engfracmech.2010.05.018
关键词
Sequentially linear procedure; Elasto-brittle elements; Non-proportional load-path; Stress redistribution
类别
资金
- Ministry of Education, Youth and Sports of the Czech Republic [MSM0021630519]
- Czech Science Foundation [103/07/1276, P105/10/J028]
The article proposes an improvement over the widely used sequentially linear solution procedure often utilized for fracture simulations. In the classical secant version of this method, a partial solution of a step is scaled to reach a stress limit in exactly one element and the mechanical properties of the critical element are reduced. Non-proportional loading is generally unfeasible due to avalanches of ruptures caused by stress redistribution. Because only one loading vector can be scaled at a time, all others have to remain constant during the step. However, the constant load vectors do not allow proper determination of the critical element. A modified procedure based on redistribution of released stresses is developed here. It preserves the linearity of each step. After rupture of the critical element, a sequentially linear redistribution process of stress release takes place until a static equilibrium state is reached. During the redistribution, other elements may break. The proposed enhanced sequential procedure is also compared with another recently published event-by-event linear method for non-proportional loading. It is shown here, with the help of simple examples, that the proposed redistribution method yields correct results for non-proportional loading, unlike the other methods under comparison. (C) 2010 Elsevier Ltd. All rights reserved.
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