Interaction Analysis of Non-aligned Cracks Using Extended Finite Element Method

Bidokhti, Ali Abbaszadeh; Shahani, A.R.

doi:10.1590/1679-78251664

Cited by 12 publications

(8 citation statements)

References 13 publications

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“…Various crack interaction and coalescence rules (e.g., alignment rules, combination rules) have been proposed in literature [77][78][79][80][81] based on fracture mechanics analysis. Wang and co-authors [77] provide FPZ-based rules for multiple crack interaction and coalescence.…”

Section: An Algorithm To Estimate Failure Pathsmentioning

confidence: 99%

“…Wang and co-authors [77] provide FPZ-based rules for multiple crack interaction and coalescence. In these rules, crack interaction and coalescence are based on the Euclidean distance between cracks tips (for e.g., see [ [81]. In this paper, we take advantage of these crack interaction and coalescence rules that are built on sound fracture mechanics underpinnings to develop FPZ-based graph surrogate model to estimate failure paths.…”

Section: An Algorithm To Estimate Failure Pathsmentioning

confidence: 99%

“…][81]). We note that these rules have been widely adopted in brittle and quasi-brittle failure analysis (for e.g., see [Equation-1 and Sec-1][77]) and fitness-for-service codes [Table-1 and Introduction]…”

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confidence: 99%

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Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials

et al. 2019

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In brittle fracture applications, failure paths, regions where the failure occurs and damage statistics, are some of the key quantities of interest (QoI). High-fidelity models for brittle failure that accurately predict these QoI exist but are highly computationally intensive, making them infeasible to incorporate in upscaling and uncertainty quantification frameworks. The goal of this paper is to provide a fast heuristic to reasonably estimate quantities such as failure path and damage in the process of brittle failure. Towards this goal, we first present a method to predict failure paths under tensile loading conditions and low-strain rates. The method uses a k-nearest neighbors algorithm built on fracture process zone theory, and identifies the set of all possible pre-existing cracks that are likely to join early to form a large crack. The method then identifies zone of failure and failure paths using weighted graphs algorithms. We compare these failure paths to those computed with a high-fidelity fracture mechanics model called the Hybrid Optimization Software Simulation Suite (HOSS). A probabilistic evolution model for average damage in a system is also developed that is trained using 150 HOSS simulations and tested on 40 simulations. A non-parametric approach based on confidence intervals is used to determine the damage evolution over time along the dominant failure path. For upscaling, damage is the key QoI needed as an input by the continuum models. This needs to be informed accurately by the surrogate models for calculating effective moduli at continuum-scale. We show that for the proposed average damage evolution model, the prediction accuracy on the test data is more than 90%. In terms of the computational time, the proposed models are ≈ O ( 10 6 ) times faster compared to high-fidelity fracture simulations by HOSS. These aspects make the proposed surrogate model attractive for upscaling damage from micro-scale models to continuum models. We would like to emphasize that the surrogate models are not a replacement of physical understanding of fracture propagation. The proposed method in this paper is limited to tensile loading conditions at low-strain rates. This loading condition corresponds to a dominant fracture perpendicular to tensile direction. The proposed method is not applicable for in-plane shear, out-of-plane shear, and higher strain rate loading conditions.

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Section: An Algorithm To Estimate Failure Pathsmentioning

confidence: 99%

Section: An Algorithm To Estimate Failure Pathsmentioning

confidence: 99%

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Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials

et al. 2019

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“…Interface elements equipped with cohesive zone models have been used (Alfano and Crisfield 2001;Alfano and Crisfield 2003;Blackman et al 2003;Chen et al 1999;Crisfield and Alfano 2002;Ostergaard et al 2011;Qiu et al 2001) in the cases in which the crack path is predictable. The extended finite element method (XFEM) (Belytschko and Black 1999;Bidokhti and Shahani 2015;Dolbow and Belytschko 1999;Shi et al 2010) allows cracks to pass through the elements leading to better approximations of crack paths without remeshing.…”

Section: Introductionmentioning

confidence: 99%

Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods

Bazazzadeh

Zaccariotto

Galvanetto

2019

Lat. Am. j. solids struct.

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The aim of this paper is to develop new computational tools to study fatigue crack propagation in structural materials. In particular we compare the performance of different degradation strategies to study fatigue crack propagation phenomena adopting peridynamic based computational methods. Three fatigue degradation laws are proposed. Two of them are original. Initially a cylinder model is used to compare the computational performance of the three fatigue laws and to study their robustness with respect to variations of discretization parameters. Then the fatigue degradation strategies are implemented in a peridynamic framework for fatigue crack propagation analyses. Both cylinder model and peridynamic simulations show that the third proposed degradation law is unique in its combination of high accuracy, high stability and low computational cost.

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“…On the other hand, Bidokhti and Shahani [10] also studied the multiple cracks however the cracks are non-aligned. Meanwhile, Wen et al [11] also studied the multiple surface cracks under fatigue loading.…”

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confidence: 99%

Calculating of stress intensity factors of soldered joints with multiple cracks

Ismail

Jamian

Kamarudin

et al. 2019

IJEECS

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<span>This paper presents the solution of stress intensity factors of multiple cracks at the joint between two materials. Based on the literature survey, there are tremendous number of works found on the study of edge and central cracks. On the other hand, several papers on the multiple cracks can be also be found in open literature. However, the work on multiple cracks with different crack sizes are hard to find. Therefore, this paper focuses to study the crack interaction obtained from different crack sizes. ANSYS APDL is used to model and solve the problems considering the cracks embedded in the plain strain plate under tension stress. There are two important parameters are considered such crack sizes and mechanical mismatches between joint and based materials. Since the crack is symmetrical, only a quarter model is used and verified. Based on the numerical simulation, it is found that two factors are significantly affected the multiple cracks at the joints such as mechanical mismatches and relative crack sizes.</span>

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Interaction Analysis of Non-aligned Cracks Using Extended Finite Element Method

Cited by 12 publications

References 13 publications

Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials

Surrogate Models for Estimating Failure in Brittle and Quasi-Brittle Materials

Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods

Calculating of stress intensity factors of soldered joints with multiple cracks

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