Fluctuation-based fracture mechanics of heterogeneous materials
Name
PhysRevE.106.065003.pdf
Description
Published version
Size
3.52 MB
Format
Adobe PDF
Checksum (MD5)
7cac76f27bad089543081e34fe061f09
Author(s)
Mulla, T
Pellenq, RJ-M
Ulm, F-J
Date Issued
December 2022
Journal
Physical Review E
Publisher
American Physical Society (APS)
Citation
Mulla, T, Pellenq, RJ-M and Ulm, F-J. 2022. "Fluctuation-based fracture mechanics of heterogeneous materials." Physical Review E, 106 (6).
Version
Final published version
Abstract
We present results of a hybrid analytical-simulation investigation of the fracture resistance of heterogeneous materials. We show that bond-energy fluctuations sampled by Monte Carlo simulations in the semigrand canonical ensemble provide a means to rationalize the complexity of heterogeneous fracture processes, encompassing probability and percolation theories of fracture. For a number of random and textured model materials, we derive upper and lower bounds of fracture resistance and link bond fracture fluctuations to statistical descriptors of heterogeneity, such as two-point correlation functions, to identify the origin of toughening mechanisms. This includes a shift from short- to long-range interactions of bond fracture processes in random systems to the transition from critical to subcritical bond fracture percolation in textured materials and the activation of toughness reserves at compliant interfaces. Induced by elastic mismatch, they connect to a number of disparate experimental observations, including toughening of brittle solids by deformable polymers or organics in, e.g., gas shale, nacre; stress-induced transformational toughening in ceramics; and toughening of sparse elastic networks in hydrogels, to name a few.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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DOI of Published Version
https://doi.org/10.1103/physreve.106.065003
