Application of the finite volume method to the analysis of dynamic fracture problems

Ivanković, Alojz; Demirdžić, I.; Williams, J. G.; Leevers, P. S.

doi:10.1007/bf00018439

Cited by 55 publications

(33 citation statements)

References 8 publications

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“…A finite volume formulation was used to simulate the dynamic fracture of the PMMA specimens [23,24,6,25]. The evolution of the fracture process region was modelled for the first 10 mm of crack growth using four different cohesive characteristics.…”

Section: Numerical Investigationsmentioning

confidence: 99%

The prediction of dynamic fracture evolution in PMMA using a cohesive zone model

Murphy

2005

Engineering Fracture Mechanics

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A cohesive zone model was used in conjunction with the finite volume method to model the dynamic fracture of single edge notched tensile specimens of PMMA under essentially static loading conditions. In this study, the influence of the shape of the cohesive law was investigated, whilst keeping the cohesive strength and separation energy constant. Cohesive cells were adaptively inserted between adjacent continuum cells when the normal traction across that face exceeded the cohesive strength of the material. The cohesive constitutive law was therefore initially rigid, and the effective elasticity of the material was unaltered prior to insertion of the cohesive cells. Notch depths ranging from 2.0 mm to 0.1 mm were considered. The numerical predictions were compared with experimental observations for each notch depth and excellent qualitative and quantitative agreement was achieved in most cases. Following an initial period of rapid crack tip acceleration up to terminal velocities well below the Rayleigh wave speed, subsequent propagation took place at a constant rate under conditions of increasing energy flux to an expanding process region. In addition, attempted and successful branching was predicted for the shorter notches. It was found that the shape of the cohesive law had a significant influence on the dynamic fracture behaviour. In particular, the value of the initial slope of the softening function was found to be an important parameter. As the slope became steeper, the predicted terminal crack speed increased and the extent of the damage decreased.

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Section: Numerical Investigationsmentioning

confidence: 99%

The prediction of dynamic fracture evolution in PMMA using a cohesive zone model

Murphy

2005

Engineering Fracture Mechanics

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“…The method was first developed for the solution of solid mechanics problems by Demirdzić and co-workers [10][11][12][13][14]. Ivanković and co-workers have applied the FV method successfully to the solution of both fracture problems [15][16][17][18][19] and fluid structure interaction problems [20,21].…”

Section: Introductionmentioning

confidence: 99%

Analysis of two-phase ceramic composites using micromechanical models

Alveen

McNamara

Carolan

et al. 2014

Computational Materials Science

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Micromechanical models of two-phase ceramic composites are created using a modified Voronoi tessellation approach. These representative Finite Volume (FV) microstructures are used to investigate the role of microstructure on fracture of advanced ceramics. An arbitrary crack propagation model using a cell-centred finite volume based method is implemented. In particular the effect of matrix content is examined. It is shown that the underlying microstructure significantly affects the local stress and strain distributions for a two-phase ceramic containing hard particles in a softer matrix. Simulation results indicate that an increase in the volume fraction of these hard grains leads to an increase in strength of the composite material. Furthermore, it is found that the homogeneity of the microstructure affects the overall strength.

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“…The method was first developed for the solution of solid mechanics problems by Demirdzić et al [25] and Ivanković et al [26]. The simplicity of the formulation has meant that the FV method is gradually gaining acceptance as an alternative to the preeminent finite element (FE) method for solving solid mechanics problems.…”

Section: Finite Volume Methodsmentioning

confidence: 99%

“…It has already been used in a wide range of applications from the fracture of polymers [27,28], adhesives [29], viscoelastic materials [30] and problems involving fluid structure interaction [31,27]. In addition memory utilisation is very efficient.…”

Section: Finite Volume Methodsmentioning

confidence: 99%

“…It was found that the fracture times were considerably less, up to 50%, than those observed experimentally. An elastic support and striker as described by [35] was specified numerically in order to account for the machine loop compliance during the fracture test. A reasonable stiffness value can be obtained by considering the striker and supports as simple cylinders and then calculating the respective stiffness using k = EA/L The effect of an elastic support on both the load time trace and crack growth behaviour after fracture of the sample is clearly shown in Figure 9.…”

Section: Influence Of Elastic Compliance Of Test Rigmentioning

confidence: 99%

See 1 more Smart Citation

A combined experimental–numerical investigation of fracture of polycrystalline cubic boron nitride

Carolan

Ivanković

2013

Engineering Fracture Mechanics

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Numerical modelling of a series of experimental Single Edge V-Notched Beam tests was carried out for a number of grades of polycrystalline cubic boron nitride using the finite volume method (FV) and cohesive zone model approach.The effect of notch root radius observed experimentally was reproduced numerically via a unique CZM for each material examined. It was also found that the shape of the cohesive zone model can be significant, especially when the material has a relatively high fracture energy. It was also demonstrated that the experimentally observed drop in fracture toughness with increase in test rate was not explainable in terms of the system dynamics. It was found that in order to predict the experimental fracture loads for a range of loading rates, it was necessary to modify the CZM in such a way as to preserve the micro-structural length scale information of the material embedded within the CZM.

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Application of the finite volume method to the analysis of dynamic fracture problems

Cited by 55 publications

References 8 publications

The prediction of dynamic fracture evolution in PMMA using a cohesive zone model

The prediction of dynamic fracture evolution in PMMA using a cohesive zone model

Analysis of two-phase ceramic composites using micromechanical models

A combined experimental–numerical investigation of fracture of polycrystalline cubic boron nitride

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