Evaluation of indentation fracture toughness for brittle materials based on the cohesive zone finite element method

Hyun, Hong Chul; Rickhey, Felix; Lee, Jin Haeng; Kim, Minsoo; Lee, Hyungyil

doi:10.1016/j.engfracmech.2014.11.013

Cited by 31 publications

(19 citation statements)

References 25 publications

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“…Finite element (FE) results were in a good agreement with the experimental observations made by Lawn et al [4]. Making use of the proportionality P max / c 3/2 , Hyun et al [16,17] recently extended the study and suggested a fracture toughness equation, which takes into account E, m, yield strain e o , which replaces H, as well as w and the number of indenter edges. The material was assumed to be elastic-perfectly plastic and e o = r o /E was estimated by varying r o until the hardness from FE analysis matched the measured H value.…”

Section: Introductionsupporting

confidence: 65%

“…The modified yield strain e om was expressed as a function of yield strain e o and hardening coefficient n, both of which were found to be the parameters governing e om . The fracture toughness K c was then obtained by replacing e o with e om in the equation for non-hardening materials, recently established by Hyun et al [17]. Necessary material properties were determined from the spherical indentation load-depth curve.…”

Section: Discussionmentioning

confidence: 99%

“…(6) and (7). K c values obtained by Hyun et al [17] and Lemaitre [26], both of who did not account for potential strain hardening, deviate by 8% and 16 ± 10% for Si and Ge, respectively; using Eqs. (6) and (7), the respective deviations are 1% and 16%.…”

Section: Validation Of Property Evaluation Approach By Nano-indentatimentioning

confidence: 96%

“…Using DCB (double cantilever beam) specimens, Jaccodine found c = 0.0213 and 0.0184 J/mm 2 for Si(1 0 0) and Ge(1 0 0), respectively. K c is related to c by Table 4 with indentation-based results by Hyun et al [17], Lemaitre [25] and those calculated using Eqs. (6) and (7).…”

Section: Validation Of Property Evaluation Approach By Nano-indentatimentioning

confidence: 98%

“…Apart from the load-depth (P-h) curve and c, accurate knowledge of material properties is thus crucial for the evaluation of K c . In this paper, we extend the fracture toughness equation of Hyun et al [17] for non-hardening materials by accounting for the influence of hardening. To reduce the computational and post-processing efforts, we propose a simplified equivalent nonhardening model, where the hardening material is interpreted as a non-hardening material with an elevated modified yield strain, which is then inserted in the equation established for non-hardening materials.…”

Section: Introductionmentioning

confidence: 97%

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Evaluation of the fracture toughness of brittle hardening materials by Vickers indentation

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Section: Introductionsupporting

confidence: 65%

Section: Discussionmentioning

confidence: 99%

Section: Validation Of Property Evaluation Approach By Nano-indentatimentioning

confidence: 96%

Section: Validation Of Property Evaluation Approach By Nano-indentatimentioning

confidence: 98%

Section: Introductionmentioning

confidence: 97%

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Evaluation of the fracture toughness of brittle hardening materials by Vickers indentation

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In this work, we present the development of directional solidification for a novel high‐temperature Mo‐20Si‐52.8Ti (at. %) ternary alloy using a modified Bridgeman type apparatus. The resulting alloy exhibits a microstructure consisting of a body‐centered cubic solid solution BCCss and a hexagonal silicide (Ti,Mo)5Si3 with approximate volume fractions of 50% for each phase. The phases exhibit a crystallographic orientation relationship with and . Different solidification velocities were imposed which revealed an inverse relationship to the lamellar spacing according to a Jackson‐Hunt type scaling. Mechanical characterization using Vickers indentation demonstrated that the BCCss accommodates plasticity through dislocation mediation, while the silicide phase exhibits high hardness and brittleness, serving as a crack initiation site. Crack propagation was arrested and deflected at the interface to the BCCss. Fracture toughness measurements via indentation yield a fracture toughness of 3.7 MPa√m for the silicide, somewhat higher than previously reported values for Si‐ and Cr‐based intermetallics. The directionally solidified (DS) specimens showed an enhanced fracture toughness attributed to a greater BCCss length scale; thus, combining the ductile and hard phases resulted in a ductile‐phase toughened intermetallic composite. The findings open up new possibilities for the design of advanced intermetallic composites with improved toughness performance.This article is protected by copyright. All rights reserved.

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On the seismic behaviour of monolithic lunar arches subjected to moonquakes

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With a new era emerging in the field of lunar exploration and habitation, there is a need for research on structural forms made of local soil material (regolith), which will be able to endure the extreme conditions in harsh environments (e.g., extreme temperature fluctuations, solar and cosmic radiation, meteor showers, strong ground motions, etc.). The present work focuses on understanding the dynamic and seismic behaviour of certain structural typologies of monolithic arches by means of finite element analysis (FEA). These typologies were extensively investigated previously, using static analyses accounting for the reduced gravitational field on the moon, and proved to be of the optimum shape against certain loading scenarios. Specifically, these optimal monolithic arch forms (named enhanced varying-thickness arches -EVTAs) examined herewith, are described by varying-thickness geometry, properly enhanced at certain weak points for increasing their structural stability. Aiming at a fair comparison, the seismic behaviour of EVTAs is contrasted to that of their corresponding monolithic constant-thickness (CTAs) counterparts (having the same amount of structural material). After defining an appropriate damage state, the authors conduct preliminary pushover analyses to determine the structural capacity of the arches against lateral loading. Subsequently, the modal analysis of the EVTAs shows that the second/vertical mode exhibits a natural period almost equal to that of their first/translational mode and substantially longer than the corresponding second/vertical mode of their CTA counterparts, indicating a potential vulnerability along the vertical excitation. Furthermore, taking into account that shallow moonquakes are comparable to intraplate earthquakes in terms of hazard potential, the authors produce sets of stochastic seismic excitations used as time histories for seismic analyses. The probability of exceedance of the defined damage state as a function of the peak ground acceleration (PGA) is presented through indicative fragility curves, where the structural superiority of EVTAs against their CTA counterparts is demonstrated.

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Evaluation of indentation fracture toughness for brittle materials based on the cohesive zone finite element method

Cited by 31 publications

References 25 publications

Evaluation of the fracture toughness of brittle hardening materials by Vickers indentation

Evaluation of the fracture toughness of brittle hardening materials by Vickers indentation

Unveiling the Intricacies of a Ductile‐Phase Toughened Intermetallic: An In‐Depth Exploration of a Eutectic Mo–Si–Ti Alloy and its Mechanical Behavior

On the seismic behaviour of monolithic lunar arches subjected to moonquakes

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