Modeling dynamic brittle behavior of materials with circular flaws or pores

Katcoff, Cynthia Zingale; Graham‐Brady, Lori

doi:10.1016/j.ijsolstr.2013.11.004

Cited by 17 publications

(9 citation statements)

References 12 publications

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“…This parameters control the nucleation of failure processes [14]. Katcoff and Graham-Brady showed the scaling of the strength and strain rates allows to collapse onto the same curve for any flaw density/flaw size combination [11]. The Eq.…”

Section: Resultsmentioning

confidence: 99%

“…The Eq. (1) was used for describing the experimental dynamic strength data for UHTC such as ZrB 2 , B 4 C, and SiC [10,11]. ,…”

Section: Resultsmentioning

confidence: 99%

“…Dynamic fracture toughness of nanostructured ultra-high temperature ceramic materials is higher compared with coarse-crystalline counterparts. Researches on mechanical behavior of ultra-high temperature nanostructured ceramic under dynamic loadings have not been widely presented in literature [9][10][11][12][13][14]. The aim of this work is experimental confirmation of the hypothesis on quasi-brittle character of dynamic fracture of nanostructured ultra-high temperature ceramic materials on the example of ZrB 2 ceramics, as well as study the possibility of applying the Kimberly's ratio [10] to predict the strength of ZrB 2 UHTC under tension and compression in a wide range of strain rates.…”

Section: Introductionmentioning

confidence: 99%

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Fracture mechanisms of zirconium diboride ultra-high temperature ceramics under pulse loading

Skripnyak¹,

Bragov²,

Skripnyak³

et al. 2017

AIP Conference Proceedings

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Influence of grain size distribution on the mechanical behavior of light alloys in wide range of strain rates AIP Conference Proceedings 1793, 110001 (2017) bragov@mech.unn.ru, c) skrp2006@yandex.ru.Abstract. Mechanisms of failure in ultra-high temperature ceramics (UHTC) based on zirconium diboride under pulse loading were studied experimentally by the method of SHPB and theoretically. The obtained experimental and numerical data are evidence of the quasi-brittle fracture character of nanostructured zirconium diboride ceramics under compression and tension at high strain rates and the room temperature. Damage of nanostructured porous zirconium diboride-based UHTC can be formed under stress pulse amplitude below the Hugoniot elastic limit. Fracture of nanostructured ultra-high temperature ceramics under pulse and shock-wave loadings is provided by fast processes of intercrystalline brittle fracture and relatively slow processes of quasi-brittle failure via growth and coalescence of microcracks.

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Section: Resultsmentioning

confidence: 99%

“…The Eq. (1) was used for describing the experimental dynamic strength data for UHTC such as ZrB 2 , B 4 C, and SiC [10,11]. ,…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fracture mechanisms of zirconium diboride ultra-high temperature ceramics under pulse loading

Skripnyak¹,

Bragov²,

Skripnyak³

et al. 2017

AIP Conference Proceedings

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“…However, with damaged matrix, the elastic properties of the effective homogenized matrix degrade, causing an elastic sub-problems based on the superposition principle [19] properties mismatch at the matrix-ellipsoidal inclusion boundaries. This mismatch leads to a local stress state that differs from the far-field stress state ) [27].…”

Section: Review Of the Self-consistent Based Micromechanical Damage Mmentioning

confidence: 99%

“…When the damage criterion is satisfied (F d = 0) due to equivalence between fracture toughness (K IC ) and dynamic stress intensity factor (K ID ), the incremental rate of microcrack length  l is determined by substituting Eqs. (26) and (27) in the damage criterion (F d = 0):…”

Section: Damage Criterion and Damage Evolution Rulementioning

confidence: 99%

A micromechanical Sliding-Damage Model Under Dynamic Compressive Loading

Ahmadi¹,

Molladavoodi

2019

Period. Polytech. Civil Eng.

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For most rock materials, there exists a strong coupling between plastic flow caused by sliding along micro-crack faces and damage evolution due to nucleation and growth of wing-cracks. The aim of this article is to develop the self-consistent based micromechanical model by taking into account the coupling between frictional sliding and damage process under dynamic compressive loading. The developed model algorithm was programmed in the commercial finite difference software environment for numerical simulation of rock material to investigate the relationship between the mechanical behaviour and microstructure. Eventually while the stress intensity factor at flaw tips exceeds the material fracture toughness, the wing-cracks are sprouted and damage evolution occurs. For frictional closed cracks, an appropriate criterion for the onset of frictional sliding along micro-cracks was proposed in this paper. Also, plastic strain increments were determined by the flow rule, consistency condition and normality rule within the thermodynamic framework. The simulation results demonstrate that the developed micromechanical model can adequately reproduce many features of the rock behaviour such as hardening prior to the peak strength, softening in post-peak region, damage induced by wing-cracks and irreversible deformations caused by frictional sliding along micro-cracks. Furthermore, the softening behaviour of material in post-peak region is affected and the material undergoes higher values of strains and damage up to the residual strength. Therefore, the rock sample simulation with the coupled frictional sliding-damage model could increase plasticity and ductility of the rock in post-peak region because of regarding plastic strains caused by the frictional sliding along micro-cracks.

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