journal article·2025-08Open access

Peridynamics based model of anticrack-type fracture in brittle foams

Shucheta Shegufta, Michael Zaiser

International Journal of Fracture· Volume 249· Issue 3

Abstract

Abstract A particular failure mode of highly porous brittle materials consists in the propagation of cracks under uniaxial compressive loads. Such ’anticracks’ have been observed in a range of materials, from snow and porous sandstone to brittle foams. Here we present a computational model for the formation and propagation of anticrack-type failure in porous materials within the general computational framework of bond-based peridynamics. Random porosity is represented, on a scale well above the characteristic pore size, by random bond deletion (dilution disorder). We apply our framework to experimental data on anticrack propagation in silicate foams.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Rock Mechanics and Modeling

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (30)

Show source-provided references
1. Adam V, Bergfeld B, Weißgraeber P, van Herwijnen A, Rosendahl PL (2024) Fracture toughness of mixed-mode anticracks in highly porous materials. Nat Commun 15(1):737910.1038/s41467-024-51491-7 ↗
2. Alava MJ, Nukala PK, Zapperi S (2006) Statistical models of fracture. Adv Phys 55(3–4):349–47610.1080/00018730300741518 ↗
3. Barraclough TW, Blackford JR, Liebenstein S, Sandfeld S, Stratford TJ, Weinländer G, Zaiser M (2017) Propagating compaction bands in confined compression of snow. Nat Phys 13(3):272–27510.1038/nphys3966 ↗
4. Bazant ZP (1984) Size effect in blunt fracture: concrete, rock, metal. J Eng Mech 110(4):518–535
5. Bobaru F, Yang M, Alves LF, Silling SA, Askari E, Xu J (2009) Convergence, adaptive refinement, and scaling in 1d peridynamics. Int J Numer Meth Eng 77(6):852–87710.1002/nme.2439 ↗
6. Bobaru F, Foster JT, Geubelle PH, Silling SA (2016) Handbook of peridynamic modeling. CRC Press10.1201/9781315373331 ↗
7. Chen Z, Niazi S, Bobaru F (2019) A peridynamic model for brittle damage and fracture in porous materials. Int J Rock Mech Min Sci 122:10405910.1016/j.ijrmms.2019.104059 ↗
8. Dodds PS, Weitz JS (2002) Packing-limited growth. Phys Rev E 65(5):05610810.1103/PhysRevE.65.056108 ↗
9. Dundurs J, Markenscoff X (1989) A green’s function formulation of anticracks and their interaction with load-induced singularities. J Appl Mech 56(3):550–55510.1115/1.3176126 ↗
10. Fletcher RC, Pollard DD (1981) Anticrack model for pressure solution surfaces. Geology 9(9):419–42410.1130/0091-7613(1981)9<419:AMFPSS>2.0.CO;2 ↗
11. Gaume J, Gast T, Teran J, van Herwijnen A, Jiang C (2018) Dynamic anticrack propagation in snow. Nat Commun 9(1):304710.1038/s41467-018-05181-w ↗
12. Heierli J, Zaiser M (2008) Failure initiation in snow stratifications containing weak layers: Nucleation of whumpfs and slab avalanches. Cold Reg Sci Technol 52(3):385–40010.1016/j.coldregions.2007.02.007 ↗
13. Heierli J, Gumbsch P, Zaiser M (2008) Anticrack nucleation as triggering mechanism for snow slab avalanches. Science 321(5886):240–24310.1126/science.1153948 ↗
14. Heierli J, Gumbsch P, Sherman D (2012) Anticrack-type fracture in brittle foam under compressive stress. Scripta Mater 67(1):96–9910.1016/j.scriptamat.2012.03.032 ↗
15. Kamensky D, Xu F, Lee CH, Yan J, Bazilevs Y, Hsu MC (2018) A contact formulation based on a volumetric potential: Application to isogeometric simulations of atrioventricular valves. Comput Methods Appl Mech Eng 330:522–54610.1016/j.cma.2017.11.007 ↗
16. Kilinc E, Hand RJ (2015) Mechanical properties of soda-lime-silica glasses with varying alkaline earth contents. J Non-Cryst Solids 429:190–19710.1016/j.jnoncrysol.2015.08.013 ↗
17. Littlewood DJ, Parks ML, Foster JT, Mitchell JA, Diehl P (2024) The peridigm meshfree peridynamics code. Journal of Peridynamics and Nonlocal Modeling 6(1):118–14810.1007/s42102-023-00100-0 ↗
18. Löwe H, Zaiser M, Mösinger S, Schleef S (2020) Snow mechanics near the ductile-brittle transition: Compressive stick-slip and snow microquakes. Geophysical Research Letters 47(4):e2019GL08549110.1029/2019GL085491 ↗
19. Mehrmashhadi J, Chen Z, Zhao J, Bobaru F (2019) A stochastically homogenized peridynamic model for intraply fracture in fiber-reinforced composites. Compos Sci Technol 182:10777010.1016/j.compscitech.2019.107770 ↗
20. Mollema P, Antonellini M (1996) Compaction bands: a structural analog for anti-mode i cracks in aeolian sandstone. Tectonophysics 267(1–4):209–22810.1016/S0040-1951(96)00098-4 ↗
21. Peng X, Chen Z, Bobaru F (2023) Accurate predictions of dynamic fracture in perforated plates. Int J Fract 244(1):61–8410.1007/s10704-023-00719-6 ↗
22. Ritter J, Löwe H, Gaume J (2020) Microstructural controls of anticrack nucleation in highly porous brittle solids. Sci Rep 10(1):1238310.1038/s41598-020-67926-2 ↗
23. Ritter J, Shegufta S (2023) Zaiser M (2023) Effects of disorder on deformation and failure of brittle porous materials. J Stat Mech: Theory Exp 5:05330110.1088/1742-5468/acccdf ↗
24. Silling SA (2000) Reformulation of elasticity theory for discontinuities and long-range forces. J Mech Phys Solids 48(1):175–20910.1016/S0022-5096(99)00029-0 ↗
25. Silling SA, Askari E (2005) A meshfree method based on the peridynamic model of solid mechanics. Comput & Structures 83(17):1526–1535. https://doi.org/10.1016/j.compstruc.2004.11.02610.1016/j.compstruc.2004.11.026 ↗
26. Silling SA, Lehoucq RB (2010) Peridynamic theory of solid mechanics. Adv Appl Mech 44:73–16810.1016/S0065-2156(10)44002-8 ↗
27. Sternlof KR, Rudnicki JW, Pollard DD (2005) Anticrack inclusion model for compaction bands in sandstone. Journal of Geophysical Research: Solid Earth 110(B11)10.1029/2005JB003764 ↗
28. Tupek MR, Radovitzky R (2014) An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures. J Mech Phys Solids 65:82–9210.1016/j.jmps.2013.12.012 ↗
29. Wu P, Yang F, Chen Z, Bobaru F (2021) Stochastically homogenized peridynamic model for dynamic fracture analysis of concrete. Eng Fract Mech 253:10786310.1016/j.engfracmech.2021.107863 ↗
30. Yamaguchi Y, Biswas S, Hatano T, Goehring L (2020) Failure processes of cemented granular materials. Phys Rev E 102(5):05290310.1103/PhysRevE.102.052903 ↗