2006
DOI: 10.1016/j.cma.2005.04.020
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Crack band model of fracture in irregular lattices

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Cited by 81 publications
(61 citation statements)
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“…This representation of fracturing within the RBSN is energy conserving and mesh insensitive for predominantly tensile stress fields, i.e., fracture propagates through the random mesh with uniform, controllable energy consumption, as if using a straight-line discretization of the crack trajectory (Bolander and Sukumar, 2005;Berton and Bolander, 2006). As shown in Fig.…”
Section: Fracture Modelmentioning
confidence: 99%
“…This representation of fracturing within the RBSN is energy conserving and mesh insensitive for predominantly tensile stress fields, i.e., fracture propagates through the random mesh with uniform, controllable energy consumption, as if using a straight-line discretization of the crack trajectory (Bolander and Sukumar, 2005;Berton and Bolander, 2006). As shown in Fig.…”
Section: Fracture Modelmentioning
confidence: 99%
“…The RBSN models have been applied to simulate fracture process predominantly subjected to tensile loading (Berton and Bolander, 2006). In general, the global loading direction is mostly skewed to the local element axes; therefore, all the normal and tangential components of spring forces are activated in the direction of the element axes.…”
Section: Resultant Stress Measuresmentioning
confidence: 99%
“…With decreasing lattice size, the energy dissipated for crack creation approaches zero, which contradicts the reality. To address this problem, some scholars [17,[23][24][25][26] have related the bond stress-strain relationship to the macro fracture energy based on the conception of crack band [27] while others [23,28] have developed a bond rupture criterion with the consideration of fracture energy. In contrast to the incorporation of fracture energy, it has been reported that the mesh size dependency also can be relieved through consideration of statistical distributions of lattice beam strengths in [29,30].…”
Section: Introductionmentioning
confidence: 99%