Research article Special Issues

Dynamic propagation of a macrocrack interacting with parallel small cracks

  • Received: 03 October 2016 Accepted: 29 December 2016 Published: 10 January 2017
  • In this study, the effect of small cracks on the dynamic propagation of a macrocrack is investigated by using a new continuum mechanics formulation, peridynamics. Various combinations of small cracks with different number, location and density are considered. Depending on the location, density and number of small cracks, the propagation speed of macrocrack differs. Some combinations of small cracks slows down the propagation of a macrocrack by 34%. Presented results show that this analysis can be useful for the design of new microstructurally toughened materials.

    Citation: Bozo Vazic, Hanlin Wang, Cagan Diyaroglu, Selda Oterkus, Erkan Oterkus. Dynamic propagation of a macrocrack interacting with parallel small cracks[J]. AIMS Materials Science, 2017, 4(1): 118-136. doi: 10.3934/matersci.2017.1.118

    Related Papers:

  • In this study, the effect of small cracks on the dynamic propagation of a macrocrack is investigated by using a new continuum mechanics formulation, peridynamics. Various combinations of small cracks with different number, location and density are considered. Depending on the location, density and number of small cracks, the propagation speed of macrocrack differs. Some combinations of small cracks slows down the propagation of a macrocrack by 34%. Presented results show that this analysis can be useful for the design of new microstructurally toughened materials.


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    [1] Hillerborg A, Modeer M, Petersson PE (1976) Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement Concrete Res 6: 773–781. doi: 10.1016/0008-8846(76)90007-7
    [2] Xu XP, Needleman A (1994) Numerical simulations of fast crack growth in brittle solids. J Mech Phys Solids 42: 1397–1434. doi: 10.1016/0022-5096(94)90003-5
    [3] Skumar N, Moes N, Moran B, et al. (2000) Extended finite element method for three-dimensional crack modelling. Int J Numer Meth Eng 48: 1549–1570.
    [4] Moes N, Belytschko T (2002) Extended finite element method for cohesive crack growth. Eng Fract Mech 69: 813–833. doi: 10.1016/S0013-7944(01)00128-X
    [5] Ha YD, Bobaru F (2010) Studies of dynamic crack propagation and crack branching with peridynamics. Int J Fract 162: 229–244. doi: 10.1007/s10704-010-9442-4
    [6] Benz W, Asphaug E (1995) Simulations of brittle solids using smooth particle hydrodynamics. Comput Phys Commun 87: 253–265. doi: 10.1016/0010-4655(94)00176-3
    [7] Rabczuk T, Belytschko T (2007) A three dimensional large deformation meshfree method for arbitrary evolving cracks. Comput Method Appl M 196: 2777–2799. doi: 10.1016/j.cma.2006.06.020
    [8] Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks. Int J Numer Meth Eng 61: 2316–2343. doi: 10.1002/nme.1151
    [9] Griffths DV, Mustoe GGW (2001) Modelling of elastic continua using a grillage of structural elements based on discrete element concepts. Int J Numer Meth Eng 50: 1759–1775. doi: 10.1002/nme.99
    [10] Bolander JE, Sukumar N (2005) Irregular lattice model for quasistatic crack propagation. Phys Rev B 71: 094106. doi: 10.1103/PhysRevB.71.094106
    [11] O’Brien GS, Bean CJ (2011) An irregular lattice method for elastic wave propagation. Geophys J Int 187: 1699–1707. doi: 10.1111/j.1365-246X.2011.05229.x
    [12] Pazdniakou A, Adler PM (2012) Lattice spring models. Transport Porous Med 93: 243–262. doi: 10.1007/s11242-012-9955-6
    [13] Morrison CN, Zhang M, Liu D, et al. (2015) Site-bond lattice modelling of damage process in nuclear graphite under bending Transactions, SMiRT-23 Manchester, United Kingdom.
    [14] Silling SA (2000) Reformulation of elasticity theory for discontinuities and long-range forces. J Mech Phys Solids 48: 175–209. doi: 10.1016/S0022-5096(99)00029-0
    [15] Silling SA, Askari A (2005) A meshfree method based on the peridynamic model of solid mechanics. Comput Struct 83: 1526–1535. doi: 10.1016/j.compstruc.2004.11.026
    [16] Silling SA, Epton M, Weckner O, et al. (2007) Peridynamics states and constitutive modeling. J Elasticity 88: 151–184. doi: 10.1007/s10659-007-9125-1
    [17] Diyaroglu C, Oterkus E, Oterkus S, et al. (2015) Peridynamics for bending of beams and plates with transverse shear deformation. Int J Solids Struct 69: 152–168.
    [18] Oterkus S, Madenci E (2015) Peridynamics for antiplane shear and torsional deformations. J Mech Mater Struct 10: 167–193. doi: 10.2140/jomms.2015.10.167
    [19] Perre P, Almeida G, Ayouz M, et al. (2016) New modelling approaches to predict wood properties from its cellular structure: image-based representation and meshless methods. Ann Forest Sci 73: 147–162. doi: 10.1007/s13595-015-0519-0
    [20] Oterkus E, Madenci E (2012) Peridynamics for failure prediction in composites. 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii.
    [21] Oterkus E, Barut A, Madenci E (2010) Damage Growth Prediction from Loaded Composite Fastener Holes by Using Peridynamic Theory. 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Orlando, Florida.
    [22] Madenci E, Oterkus E (2014) Peridynamic Theory and Its Applications, Springer, New York.
    [23] Kilic B, Madenci E (2010) An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory. Theor Appl Fract Mec 53: 194–204. doi: 10.1016/j.tafmec.2010.08.001
    [24] Ayatollahi MR, Aliha MRM (2009) Analysis of a new specimen for mixed mode fracture tests on brittle materials. Eng Fract Mech 76: 1563–1573. doi: 10.1016/j.engfracmech.2009.02.016
    [25] Wang H, Liu Z, Xu D, et al. (2016) Extended finite element method analysis for shielding and amplification effect of a main crack interacted with a group of nearby parallel microcracks. Int J Damage Mech 25: 4–25. doi: 10.1177/1056789514565933
    [26] Rubinstein AA (1985) Macrocrack interaction with semi-infinite microcrack array. Int J Fract 27: 113–119.
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