Predicting crack initiation and propagation using XFEM, CZM and peridynamics: A comparative study

Agwai, Abigail; Guven, Ibrahim; Madenci, Erdogan

doi:10.1109/ectc.2010.5490851

Cited by 15 publications

(8 citation statements)

References 22 publications

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“…Silling et al [32] proposed a material stability condition for crack nucleation in an elastic peridynamic body. Agwai et al [33] conducted a comparative study of the extended finite element method, cohesive zone model, and peridynamics. Using bond-based peridynamics, Ha and Bobaru [34] reproduced the dynamic fracture phenomenon observed in experiments and found the source of asymmetry in the crack path in a perfectly symmetric computational model.…”

Section: Introductionmentioning

confidence: 99%

Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

Lee

Liu

Hong

2016

International Journal of Impact Engineering

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Section: Introductionmentioning

confidence: 99%

Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

Lee

Liu

Hong

2016

International Journal of Impact Engineering

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“…Based on Eq. 31a, the external virtual works were W (1) ext = 48 000 N mm and W (2) ext = 0 N mm. The extracted material properties are presented in Table 2.…”

Section: Extracted Materials Properties Using the Displacement Field Umentioning

confidence: 99%

“…Different fracture modes can therefore be accounted for [33]. Extended finite elements, cohesive zone models, and PD predictions are compared against experimental data [1] for crack initiation and growth. The authors found that PD yields the more natural crack path, including branching and micro-branching.…”

Section: Introductionmentioning

confidence: 99%

Extracting Constitutive Mechanical Parameters in Linear Elasticity Using the Virtual Fields Method Within the Ordinary State-Based Peridynamic Framework

Delorme

Diehl

Tabiai

et al. 2020

J Peridyn Nonlocal Model

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This paper implements the virtual fields method within the ordinary state-based peridynamic framework to identify material properties. The key equations derived in this approach are based on the principle of virtual works written under the ordinary state-based peridynamic formalism for two-dimensional isotropic linear elasticity. In-house codes including a minimization process have also been developed to implement the method. A threepoint bending test and two independent virtual fields arbitrarily chosen are used as a case study throughout the paper. The numerical validation of the virtual fields method has been performed on the case study by simulating the displacement field by finite element analysis. This field has been used to extract the elastic material properties and compared them with those used as input in the finite element model, showing the robustness of the approach. Noise analysis and the effect of the missing displacement fields on the specimen's edges to simulate digital image correlation limitations have also been studied in the numerical part. This work focuses on pre-damage properties to demonstrate the feasibility of the method and provides a new tool for using full-field measurements within peridynamics with a reduced calculation time as there is no need to compute the displacement field. Future works will deal with damage properties which is the main strength of peridynamics.

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“…It was noted that when making the PMMA fracture energy five-six times higher than the actual one, the computed crack speed is reduced. Dynamic crack propagation in PMMA was also studied in [3] where the crack speed obtained using several computational methods (XFEM, peridynamics, cohesive zone model) were compared. Again, all of the methods utilized in [3] produced significantly higher crack propagation speeds than in experiments.…”

Section: Introductionmentioning

confidence: 99%

“…Dynamic crack propagation in PMMA was also studied in [3] where the crack speed obtained using several computational methods (XFEM, peridynamics, cohesive zone model) were compared. Again, all of the methods utilized in [3] produced significantly higher crack propagation speeds than in experiments. In another recent paper [4], the dynamic crack speed was computed by an approach called bond-particle method (BPM).…”

Section: Introductionmentioning

confidence: 99%

Uncovering the dynamic fracture behavior of PMMA

Mehrmashhadi¹,

Wang²,

Bobaru³

2019

Preprint

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Experimental investigations of dynamic crack propagation in PMMA induced by impact show single cracks running at around 300-400 m/s. Existing numerical models for simulating dynamic fracture in PMMA consistently produce crack propagation speeds significantly higher than those measured experimentally. Here we uncover the reason for this puzzle by showing that localized softening in the fracture process zone (caused by heating due to high strain rates in front of the crack tip), leads to crack propagation speeds that match the observed ones. We introduce a new constitutive model in our peridynamic formulation for PMMA to account for material softening in the crack tip region. With the new model, the computed crack speed and crack length evolution match very closely those found experimentally.

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Predicting crack initiation and propagation using XFEM, CZM and peridynamics: A comparative study

Cited by 15 publications

References 22 publications

Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

Impact fracture analysis enhanced by contact of peridynamic and finite element formulations

Extracting Constitutive Mechanical Parameters in Linear Elasticity Using the Virtual Fields Method Within the Ordinary State-Based Peridynamic Framework

Uncovering the dynamic fracture behavior of PMMA

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