Can the finite fracture mechanics coupled criterion be applied to V-notch tips of a quasi-brittle steel alloy?

Yosibash, Zohar; Mendelovich, Vered; Gilad, Ilan; Bussiba, A.

doi:10.1016/j.engfracmech.2022.108513

Cited by 6 publications

(12 citation statements)

References 24 publications

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“…Disregarding the actual nonlinear material behavior, an equivalent brittle material having the same fracture energy while increasing its tensile strength was considered, which reverted to a classical linear elastic CC approach in which the material tensile strength is artificially increased. Yosibash et al [17] studied crack initiation at a V-notch in high strength steel alloys by applying the classical linear elastic CC approach, thus disregarding nonlinearities induced by the plastic zone ahead of the V-notch. Using either the material yield strength or ultimate tensile strength as the critical stress parameter, the predicted failure forces were underestimated compared to experimental measurements.…”

Section: Introductionmentioning

confidence: 99%

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V-notch crack initiation by the coupled criterion considering plasticity

Doitrand,

Leguillon

2024

Preprint

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An extension of the coupled criterion (CC) of finite fracture mechanics is proposed in order to assess brittle crack initiation considering plasticity. The main change compared to the classical linear elastic approach consists in considering the plastic strain energy variation due to crack initiation. The proposed approach enables assessing quasi-brittle failure at singularities or stress concentrators in materials exhibiting plastic deformation. It is illustrated on V-notch steel specimens subjected to bending. If plastic deformation is disregarded, the CC underestimates the failure force compared to those measured experimentally. Considering plasticity yields a better representation of failure force variation as a function of the V-notch angle.

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Section: Introductionmentioning

confidence: 99%

“…The CC formulation is proposed in Section 2. Its numerical implementation is described in Section 4 and a confrontation to experimental results taken from [17] is finally presented Section 5.…”

Section: Introductionmentioning

confidence: 99%

V-notch crack initiation by the coupled criterion considering plasticity

Doitrand,

Leguillon

2024

Preprint

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“…Hard materials often have stronger wear resistance, but they also have lesser toughness and brittleness [13]. Therefore, a buttering layer is required before hard surfacing to restore the form and proportions of the original surfaces to avoid cracking caused by the hard surfacing layer to the underlying metal.…”

Section: Introductionmentioning

confidence: 99%

Microstructural analysis of martensitic hard surfacing on low chromium alloy steel

Oo,

Muangjunburee,

Abd Rahim

et al. 2023

Materialwissenschaft Werkst

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This study focuses on the metallurgical characterization of single and multi‐layer martensitic hard surfacing onto non‐standardized low‐chromium alloy steel with a single buttering layer using an automatic submerged arc welding process as a standard reference. The metallurgical properties of hard surfaced samples are examined using an optical microscope, energy dispersive x‐ray spectroscopy, and x‐ray diffractometer. Micro‐Vickers hardness testing is also conducted to analyze and confirm the metallographic results of hard surfacing. The current study finds that the microstructure of each region is influenced by three key factors: chemical composition, heat input, and dilution. The structural type is determined by the chemical composition of materials, heat input influences the structural characteristics in the heat‐affected zone (needle‐shape martensite and tempered martensite), and dilution affects the structural characteristics of the hard surfacing layers (martensite with retained austenite). Comparing multi‐layer hard surfacing to single‐hard surfacing, the hardness values of the heat‐affected zone of the multi‐layer hard surfacing are greatly reduced, while the hardness values of the hard surfacing layers are raised.

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“…After Coulomb-Mohr, there have been many attempts to develop criteria that apply to both ductile and brittle materials. These works include a two-parameter yield criterion in principal stress space by Yu and Wang (2019), a strain-energy-based criterion by Lazzarin, Campagnolo and Berto (2014); paraboloid criteria distinguishing between tension and compression effects (Gu & Chen, 2018a, 2018b; criteria involving convex failure surfaces by Giraldo-Londoño (2020) and Qu, Zhang, Zhang, Liu and Zhang (2016); failure prediction fusing size effects by Zheng, Wang, Jiang, Wan, and Meng (2022); a nonlinear criterion based on fracture (Wang, 2022;Zuo et al, 2021)); a failure initiation criterion (Yosibash and Mittelman, 2016;Yosibash, Mendelovich, Gilad & Bussiba, 2022); failure of pre-cracked materials by Vasiliev (2021); analysis of brittle materials via indentation by Wu et. al (2019); a unified finite strain continuum for quasi-brittle materials by Sun and Xiang (2022) and a 3-D failure initiation criterion for elastic brittle structures by Yosibash and Mittelman (2016).…”

Section: Introductionmentioning

confidence: 99%

An Improved Mathematical Representation of Mohr’s Failure Criterion For Brittle Materials

Sackey¹,

Ngewana²

2022

AJAR

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Purpose: This paper addresses issues bearing on accuracy neglected by earlier failure theories such as Rankine’s and Mohr’s. The overall aim is thus to present a thorough analysis of Mohr’s failure criterion and offer an improved model. Design/Methodology/Approach: The foundation of the methodology is Mohr’s criterion for predicting the failure of brittle isotropic homogeneous materials, built on the foundation of test results from three simple cases namely, pure tension, pure compression, and pure torsion. Thus the methodology involves first carrying out a critical analysis of Mohr’s model, followed by encapsulation of Mohr’s three simple monolithic cases in one generic equation of a circle whose parameters can be varied to match specific principal loading conditions more correctly. Experimental data are then used to validate the improved model. Findings: The work’s output is a material evaluation procedure that consists of a set of simple mathematical tests, any one of which predicting failure first, would then indicate the overall failure of the structural component under investigation. Results show clearly that this approach, i.e. using one parametric generic equation to represent material strength, is not only feasible but also robust. It offers an accurate method for predicting the failure of a brittle material under complex stresses. Research Limitation: Improvised conditions for biaxial data collection were less than ideal. Practical implication: The study recommended that other brittle materials beyond cast iron be included in any further studies to broaden the scope of applicability of the findings. Social implication: The research adds new literature and findings to an old subject. With this new knowledge, bookmakers could shape the way brittle materials are used in engineering design. Originality / Value: The value of the study lies in the fact that to date very few failure theories exist that cater fully satisfactorily to brittle materials. The rigour of the methodology confers potential for its application beyond brittle materials.

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Can the finite fracture mechanics coupled criterion be applied to V-notch tips of a quasi-brittle steel alloy?

Cited by 6 publications

References 24 publications

V-notch crack initiation by the coupled criterion considering plasticity

V-notch crack initiation by the coupled criterion considering plasticity

Microstructural analysis of martensitic hard surfacing on low chromium alloy steel

An Improved Mathematical Representation of Mohr’s Failure Criterion For Brittle Materials

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