2019/03/09 by Srutarshi Pradhan, Pradhan, Srutarshi, Jonas T. Kjellstadli +3
Engineering · #Composite Material Mechanics #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Structural Analysis and Optimization #Structural Response to Dynamic Loads
paper · pdf · doi:10.48550/arxiv.1903.03803
openalex publication_date 2019/03/09 · openalex created_date 2022/07/13 · openalex updated_date 2026/07/28
We consider the Equal-Load-Sharing Fiber Bundle Model as a model for\ncomposite materials under stress and derive elastic energy and damage energy as\na function of strain. With gradual increase of stress (or strain) the bundle\napproaches a catastrophic failure point where the elastic energy is always\nlarger than the damage energy. We observe that elastic energy has a maximum\nthat appears after the catastrophic failure point is passed, i.e., in the\nunstable phase of the system. However, the slope of elastic energy vs. strain\ncurve has a maximum which always appears before the catastrophic failure point\nand therefore this can be used as a reliable signal of upcoming catastrophic\nfailure. We study this behavior analytically for power-law type and Weibull\ntype distributions of fiber thresholds and compare the results with numerical\nsimulations on a single bundle with large number of fibers.\n