2011/06/21 by Ehud Karpas, Ehud D. Karpas, Ferenc Kun · 12 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Brittleness #Bundle #Composite material #Condensed matter physics #Diagram #Fiber #Fiber bundle #Force Microscopy Techniques and Applications #Fracture (geology) #Materials science #Mathematics #Modulus #Phase (matter) #Phase diagram #Phase transition #Physics #Seismic Imaging and Inversion Techniques #Stiffness #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1209/0295-5075/95/16004
published in Europhysics Letters (EPL) 95(1), 16004 (Institute of Physics) · 6 pages, 6 figures
openalex publication_date 2011/06/21 · arxiv created 2011/06/23 · arxiv updated 2011/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We investigate the fracture process of a bundle of fibers with random Young modulus and a constant breaking strength. For two-component systems we show that the strength of the mixture is always lower than the strength of the individual components. For continuously distributed Young modulus the tail of the distribution proved to play a decisive role since fibers break in the decreasing order of their stiffness. Using power-law–distributed stiffness values we demonstrate that the system exhibits a disorder-induced brittle–to–quasi-brittle transition which occurs analogously to continuous phase transitions. Based on computer simulations we determine the critical exponents of the transition and construct the phase diagram of the system.