Effect of particle structure on mode I fracture process in concrete

Prado, Esther Pacheco de Almeida; Mier, J.G.M. van

doi:10.1016/s0013-7944(03)00125-5

Cited by 70 publications

(41 citation statements)

References 19 publications

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“…lattice model, might be a suitable approach to study the wood fracture. Lattice fracture model has been applied for investigating the mechanism of fracture in concrete and sandstone for several years (VanMier 1996;Schlangen and Garboczi 1997;Prado and VanMier 2003). Using this approach, Landis et al (2002) developed a two-dimensional lattice model to study the mode I fracture of a notched wood specimen Davids et al 2003).…”

Section: Introductionmentioning

confidence: 99%

Micromechanical approach to wood fracture by three-dimensional mixed lattice-continuum model at fiber level

Sedighi-Gilani

Navi

2007

Wood Sci Technol

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To investigate the fracture behavior of wood, the porosity and heterogeneities of its microstructure should be taken into account. Considering these features of wood microstructure in a continuum-based model is still a difficult problem and the lattice model might be an alternative. In the developed mixed lattice-continuum model, the probable crack propagation volume was modeled by defining a three-dimensional lattice of different beam elements and the other regions were considered as continuum medium. Different beam elements of lattice represented the earlywood fibers, latewood fibers, ray cells and bonding medium between the fibers. The proposed model was used to investigate the mechanism of mode I fracture in a small notched wood specimen in RL orientation. The resulting pre-peak and softening curve and also the crack opening trajectory in both cross-section and longitudinal-section in model were in good agreement with the experimental observations. This model shows the importance of considering the three-dimensional and distributed propagation of microcracks and main cracks in fracture stability. It was also shown that in mode I fracture, RL orientation, the main crack propagates in the earlywood ring.

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Section: Introductionmentioning

confidence: 99%

Micromechanical approach to wood fracture by three-dimensional mixed lattice-continuum model at fiber level

Sedighi-Gilani

Navi

2007

Wood Sci Technol

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“…At the structural or microscopic scales, the initial slope of the cohesive law may have to do with microcrack behaviour at lower scales, cf. References [50,51]. Recent asymptotic analyses of mode-I fracture in Reference [52] by coarse graining inter-planar potentials and by determining the corresponding macroscopic cohesive laws for interatomic planes suggest the need of making sure that the overall compliance of the model not be overestimated when traction-separation relations with finite or infinite initial stiffness values are contemplated.…”

Section: Introductionmentioning

confidence: 99%

Bounds for element size in a variable stiffness cohesive finite element model

Tomar

Zhai

Zhou

2004

Numerical Meth Engineering

166

117

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SUMMARYThe cohesive finite element method (CFEM) allows explicit modelling of fracture processes. One form of CFEM models integrates cohesive surfaces along all finite element boundaries, facilitating the explicit resolution of arbitrary fracture paths and fracture patterns. This framework also permits explicit account of arbitrary microstructures with multiple length scales, allowing the effects of material heterogeneity, phase morphology, phase size and phase distribution to be quantified. However, use of this form of CFEM with cohesive traction-separation laws with finite initial stiffness imposes two competing requirements on the finite element size. On one hand, an upper bound is needed to ensure that fields within crack-tip cohesive zones are accurately described. On the other hand, a lower bound is also required to ensure that the discrete model closely approximates the physical problem at hand. Both issues are analysed in this paper within the context of fracture in multi-phase composite microstructures and a variable stiffness bilinear cohesive model. The resulting criterion for solution convergence is given for meshes with uniform, cross-triangle elements. A series of calculations is carried out to illustrate the issues discussed and to verify the criterion given. These simulations concern dynamic crack growth in an Al 2 O 3 ceramic and in an Al 2 O 3 /TiB 2 ceramic composite whose phases are modelled as being hyperelastic in constitutive behaviour.

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“…During b-c, two localized macro-cracks nucleate and extend, and part of the previously developed cracks is incorporated into the macro-cracks. Multiple macro-cracks were also observed experimentally [4,12]. The steep drops are associated to the sharp increase of number of fractured matrix beams (Fig.…”

Section: Analyses Of a Representative Casementioning

confidence: 52%

“…Directly following the peak load, a steep drop in load was commonly observed [4]. Usually at several places along the macro-crack path, it was found that it deviated from a straight path [12]. The ductility of specimens was also discussed frequently [3,4,10,11].…”

Section: Introductionmentioning

confidence: 99%

Lattice type of fracture model for concrete

Liu

Deng

Zhang

et al. 2007

Theoretical and Applied Fracture Mechanics

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Concrete is usually described as a three-phase material, where matrix, aggregate and interface zones are distinguished. The beam lattice model has been applied widely by many investigators to simulate fracture processes in concrete. Due to the extremely large computational effort, however, the beam lattice model faces practical difficulties. In our investigation, a new lattice called generalized beam (GB) lattice is developed to reduce computational effort. Numerical experiments conducted on a panel subjected to uniaxial tension show that the GB lattice model can reproduce the load-displacement curves and crack patterns in agreement to what are observed in tests. Moreover, the effects of the particle overlay on the fracture process are discussed in detail.

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Effect of particle structure on mode I fracture process in concrete

Cited by 70 publications

References 19 publications

Micromechanical approach to wood fracture by three-dimensional mixed lattice-continuum model at fiber level

Micromechanical approach to wood fracture by three-dimensional mixed lattice-continuum model at fiber level

Bounds for element size in a variable stiffness cohesive finite element model

Lattice type of fracture model for concrete

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