A scaling law for the dynamic strength of brittle solids

Kimberley, Jamie; Ramesh, K.T.; Daphalapurkar, Nitin

doi:10.1016/j.actamat.2013.02.045

Cited by 105 publications

(84 citation statements)

References 46 publications

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“…At strain rates above the critical value, however, the fracture strength of these materials exceeds quasistatic values and is extremely rate sensitive [5][6][7]. Mechanisms M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT 3 for this rate sensitivity have been discussed, for example, by [2,8,9], and it has been noted that the critical transition strain rate and quasistatic strength are intimately related to the properties of ceramics; in the present study we investigate this relationship.…”

Section: Introductionmentioning

confidence: 98%

The influence of mechanical and microstructural properties on the rate-dependent fracture strength of ceramics in uniaxial compression

Holland

McMeeking

2015

International Journal of Impact Engineering

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Section: Introductionmentioning

confidence: 98%

The influence of mechanical and microstructural properties on the rate-dependent fracture strength of ceramics in uniaxial compression

Holland

McMeeking

2015

International Journal of Impact Engineering

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“…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%

“…Kimberley and coworkers has developed the universal scaling relationship for describing the dynamic strength of brittle solids [10]. Katcoff and coworkers showed that a key structural characteristic of materials is the kind and degree of heterogeneity (e.g.…”

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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“…That model describes the increase in the strength that is often observed in brittle materials subjected to uniaxial compression at high strain rates [3,4,5,6,7,8,9,10,11,12,13]. This work develops a model that captures the behavior of brittle solids in an appropriately scaled form [14]. …”

mentioning

confidence: 97%

A Scaled Model Describing the Rate-Dependent Compressive Failure of Brittle Materials

Kimberley

Ramesh

2011

Dynamic Behavior of Materials, Volume 1

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ABSTRACT-A universal relationship is developed that describes the rate-dependent compressive strength of brittle solids based on the micromechanics of the growth of brittle cracks from populations of initial flaws. Real-time observations of crack growth provide insight to the model which captures the dynamics of interacting and rapidly growing cracks. Fundamental time and length scales involved in the problem are used to develop expressions for a characteristic stress and a characteristic strain rate in terms of material and microstructural properties. Scaling simulation results by the characteristic stress and strain rate collapses the data to a single curve in failure stress-strain rate space. This curve represents the universal response, which captures both the relatively constant failure stress at low rates as well as the dramatic increase in strength observed in experiments as the applied strain rate increases above the transition rate. The resulting model for the universal response compares well with experimental data for ceramics and geologic materials, indicating that the model has adequately captured the physics of compressive failure for a wide range of materials.INTRODUCTION-The vast majority of compressive failures of brittle solids involve both significant amounts of crack nucleation (from pre-existing flaws or defects) and significant amounts of crack propagation and crack interactions. A new ansatz for high-rate compressive failure was recently developed by Paliwal and Ramesh [1] based on real-time ultra-highspeed visualization experiments [2] coupled with theoretical investigations of massive brittle failure. In brief, that work showed that the dynamic compressive failure process is controlled by the interactions of three terms: the initial defect distribution, crack growth dynamics and crack-crack interactions, and the coupling of these three terms with the superimposed rate of loading. That model describes the increase in the strength that is often observed in brittle materials subjected to uniaxial compression at high strain rates [3,4,5,6,7,8,9,10,11,12,13]. This work develops a model that captures the behavior of brittle solids in an appropriately scaled form [14].

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A scaling law for the dynamic strength of brittle solids

Cited by 105 publications

References 46 publications

The influence of mechanical and microstructural properties on the rate-dependent fracture strength of ceramics in uniaxial compression

The influence of mechanical and microstructural properties on the rate-dependent fracture strength of ceramics in uniaxial compression

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

A Scaled Model Describing the Rate-Dependent Compressive Failure of Brittle Materials

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