A strain energy density theory for mixed mode crack propagation in rubber-like materials

Boulenouar, Abdelkader; Benseddiq, Noureddine; Merzoug, Mohamed; Benamara, Nabil; Mazari, Mohamed

doi:10.15632/jtam-pl.54.4.1417

Cited by 17 publications

(6 citation statements)

References 36 publications

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“…The strain energy criterion has also been used in fracture prediction of rubber-based materials. Boulenouar et al 53 presented a new technique based on the strain energy criterion for modeling of crack propagation in rubber-based materials under the mixed mode loading. In the crack growth analysis, the kinking angle was calculated as a function of minimum SED around the crack tip.…”

Section: J-integral and Stress Intensity Factormentioning

confidence: 99%

A review of fatigue and fracture mechanics with a focus on rubber-based materials

Behroozinia

Mirzaeifar

Taheri

2017

Proceedings of the Institution of Mechanical Engineers, Part L:

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Prediction of how cracks nucleate and develop is a major concern in fracture mechanics. The purpose of this study is to provide an overview of the state of the art on fracture mechanics with primary focus on different methodologies available for crack initiation and growth prediction in rubber-based materials under the static and fatigue loading conditions. The concept of fracture mechanics applied to rubber-based materials and concern of finite element analysis for J-integral estimation in elastomers are discussed in this paper. The strain energy release rate is commonly used to describe the energy dissipated during fracture per unit of fracture surface area and can be calculated by J-integral method, which represents a path-independent integral around the crack tip. As fatigue crack growth most commonly occurs in structures, the high-cycle fatigue life of components needs to be predicted by using extended finite element, strain energy density, finite fracture mechanics, and other techniques which will be covered in this review paper. In addition, some recent testing and numerical results reported in the literature and their applications will be discussed.

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Section: J-integral and Stress Intensity Factormentioning

confidence: 99%

A review of fatigue and fracture mechanics with a focus on rubber-based materials

Behroozinia

Mirzaeifar

Taheri

2017

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…Up to now, lots of K-solution methods have been developed for cracks in the firtree groove structure of a turbine disk, such as the finite element method (FEM) (Boulenouar et al, 2014;Huang et al, 2021;Moustabchir et al, 2015Moustabchir et al, , 2017Shlyannikov et al, 2016) and machine learning (ML). The finite element method usually becomes a reliable method to generate accurate K solutions.…”

Section: Introductionmentioning

confidence: 99%

Estimation of stress intensity factor for surface cracks in the firtree groove structure of turbine disk using pool-based active learning with Gaussian Process Regression

Guo,

Liu,

Yan

et al. 2024

Journal of Theoretical and Applied Mechanics

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Calculation of the stress intensity factor K is a crucial and difficult task in linear elastic fracture mechanics. With the capacity to solve complex input-output problems of an underlying system, machine learning is especially useful in the calculation of K. However, when faced with complex systems, such as the firtree groove structure of a turbine disk, the data--consuming issue has always been a thorny problem in K-solutions combined with machine learning studies for a long time. In this paper, a novel K-solution method called PA-GPR (Pool-based Active learning with Gaussian Process Regression) for the calculation of the stress intensity factor for surface cracks in the firtree groove structure of a turbine disk is proposed. Using the pool-based active learning strategy, the proposed K-solution method could make the GPR model have a great regression performance with a few samples required. In the pool-based active learning strategy analysis, the learning function based on greedy sampling is proposed to select samples with a high contribution to the training of the GPR model. The calculation of K for a semi-elliptical surface crack in the firtree groove structure is evaluated to verify the accuracy and effectiveness of the proposed method. The results show that this novel method is accurate, time-saving and effective.

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“…Radaj 23 depicted both J-integral and SED theory results by using an analytical approach. Besides that, a good example showing the investigation of SED parameters with the aid of finite element method was given by Boulenouar et al 24 If transient effects are to be considered, the analytical study presented by Ing and Chen 25 was able to show the determination of dynamic stress intensity factors and SED parameters. All these studies seem to be impressive with their content, but the current subject could be further explored by investigating wave propagation effects in detail.…”

Section: Introductionmentioning

confidence: 99%

Effect of stress wave propagation phenomenon on the determination of strain energy density theory parameters and dynamic J‐integral

Saribay

2022

Fatigue Fract Eng Mat Struct

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Dynamic loading for stationary cracks leads to results that are many times greater in magnitude than their static counterparts. If the dynamic loading is in the form of impact type, stress wave propagation effects become dominant. FRAC3D program comprises enriched element formulation which doesn't require excessive mesh refinement around crack tip for accuracy. Strain energy density (SED) theory parameters and dynamic J‐integral are sought in this study to simulate and understand wave propagation phenomenon in detail. Structures under the effect of wave propagations yield more reliable J‐integral values by taking the average of the results from multiple domain sizes. Governed by stress waves, space‐time variations of minimum energy density locations strongly influence fracture characterization for straight and curved crack fronts. Details given in numerical examples section of this paper make a great contribution to understanding of the response for cracked structures subjected to sudden loading.

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A strain energy density theory for mixed mode crack propagation in rubber-like materials

Cited by 17 publications

References 36 publications

A review of fatigue and fracture mechanics with a focus on rubber-based materials

A review of fatigue and fracture mechanics with a focus on rubber-based materials

Estimation of stress intensity factor for surface cracks in the firtree groove structure of turbine disk using pool-based active learning with Gaussian Process Regression

Effect of stress wave propagation phenomenon on the determination of strain energy density theory parameters and dynamic J‐integral

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