Mode-I J-integral via peridynamic stresses
Source abstract
Abstract
Nodal stresses are exploited in peridynamics to investigate the mode-I J-integral of single edge- and center-cracked plates with initial crack length-plate width ratios from 0.1 through 0.5. Computed values of the J-integral on six different contours differ from each other by about 1% and are compared and discussed with analytical methods, with finite element analysis as well as with previous peridynamic studies. Simulation results show that mode-I J-integral via peridynamic stresses are highly accurate.
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Research context
OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Fatigue and fracture mechanics
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References (27)
Show source-provided references
1. Anderson TL (2017) Fracture mechanics: fundamentals and applications. CRC Press, Taylor & Francis Group, Boca Raton10.1201/9781315370293 ↗
2. Ayachit U (2015) The paraview guide: a parallel visualization application. Kitware Inc., New York
3. Breitenfeld MS, Geubelle PH, Weckner O, Silling S (2014) Non-ordinary state-based peridynamic analysis of stationary crack problems. Comput Methods Appl Mech Eng 272:233–25010.1016/j.cma.2014.01.002 ↗
4. Fallah AS, Giannakeas IN, Mella R, Wenman MR, Safa Y, Bahai H (2020) On the computational derivation of bond-based peridynamic stress tensor. J Peridynamics Nonlocal Model 2(4):352–37810.1007/s42102-020-00036-9 ↗
5. Hu W, Ha YD, Bobaru F, Silling SA (2012) The formulation and computation of the nonlocal J-integral in bond-based peridynamics. Int J Fract 176(2):195–20610.1007/s10704-012-9745-8 ↗
6. Imachi M, Tanaka S, Bui TQ (2018) Mixed-mode dynamic stress intensity factors evaluation using ordinary state-based peridynamics. Theoret Appl Fract Mech 93:97–10410.1016/j.tafmec.2017.07.008 ↗
7. Khandelwal N, Murthy AR (2022) Fracture analysis of single edge notched specimen using phase field approach. Structures 37:756–77110.1016/j.istruc.2022.01.008 ↗
8. Kilic B, Madenci E (2010) An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory. Theoret Appl Fract Mech 53(3):194–20410.1016/j.tafmec.2010.08.001 ↗
9. Le M-Q (2023) Mode-I stress intensity factor by peridynamic stresses. Theoret Appl Fract Mech 123:10372110.1016/j.tafmec.2022.103721 ↗
10. Li J, Li S, Lai X, Liu L (2022) Peridynamic stress is the static first Piola-Kirchhoff virial stress. Int J Solids Struct 241:11147810.1016/j.ijsolstr.2022.111478 ↗
11. Madenci E, Oterkus E (2014) Peridynamic theory and its applications. Springer10.1007/978-1-4614-8465-3 ↗
12. Marc G, McMillan WG (1985) The virial theorem. Adv Chem Phys 58:20910.1002/9780470142820.ch4 ↗
13. Panchadhara R, Gordon PA (2016) Application of peridynamic stress intensity factors to dynamic fracture initiation and propagation. Int J Fract 201(1):81–9610.1007/s10704-016-0124-8 ↗
14. Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech Trans ASME 35(2):379–38610.1115/1.3601206 ↗
15. 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 ↗
16. Silling SA, Askari E (2005) A meshfree method based on the peridynamic model of solid mechanics. Comput Struct 83(17–18):1526–153510.1016/j.compstruc.2004.11.026 ↗
17. Silling SA, Lehoucq RB (2010) Peridynamic theory of solid mechanics. Adv Appl Mech 44:73–16810.1016/S0065-2156(10)44002-8 ↗
18. Silling SA, Epton M, Weckner O, Xu J, Askari E (2007) Peridynamic states and constitutive modeling. J Elast 88(2):151–18410.1007/s10659-007-9125-1 ↗
19. Soliman ESMM (2022) Mode I stress intensity factor with various crack types. Frattura Ed Integrità Strutturale 16(59):471–48510.3221/IGF-ESIS.59.31 ↗
20. Stenström C, Eriksson K (2019) The J-contour integral in peridynamics via displacements. Int J Fract 216(2):173–18310.1007/s10704-019-00351-3 ↗
21. Stenström C, Eriksson K (2021) The J-area integral applied in peridynamics. Int J Fract 228(2):127–14210.1007/s10704-020-00505-8 ↗
22. Tada H (1971) A note on the finite width corrections to the stress intensity factor. Eng Fract Mech 3(3):345–34710.1016/0013-7944(71)90043-9 ↗
23. Tada H, Paris PC, Irwin GR (2000) The stress analysis of cracks handbook. ASME Press, USA10.1115/1.801535 ↗
24. Zhang H, Qiao P (2020a) On the computation of energy release rates by a peridynamic virtual crack extension method. Comput Methods Appl Mech Eng 363:11288310.1016/j.cma.2020.112883 ↗
25. Zhang H, Qiao P (2020b) Virtual crack closure technique in peridynamic theory. Comput Methods Appl Mech Eng 372:11331810.1016/j.cma.2020.113318 ↗
26. Zhu N, Oterkus E (2020) Calculation of stress intensity factor using displacement extrapolation method in peridynamic framework. J Mech 36(2):235–24310.1017/jmech.2019.62 ↗
27. Zimmerman JA, Hoyt JJ, Jones RE, Klein PA, Bammann DJ (2004) Calculation of stress in atomistic simulation. Model Simul Mater Sci Eng 12:S319–S33210.1088/0965-0393/12/4/S03 ↗