A criterion for the time dependence of dynamic fracture

Tuler, Floyd R.; Butcher, B.M.

doi:10.1007/bf00962964

Cited by 38 publications

(44 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ultimately, this suggests that the energetic criterion governs the dynamic regime. Indeed, statistical predictions would have inferred a dependence of the power exponent to the initial distribution of defects (Hild et al, 2003), and an impulse criterion would have lead to an inverse one-third exponent (Grady, 2006;Tuler and Butcher, 1968). Our results confirm that, even though dynamic brittle fragmentation is not energy-equilibrated, its asymptotic behavior is energy controlled.…”

Section: Scaling Of the Average Fragment Sizesupporting

confidence: 67%

Dynamic fragmentation of ceramics, signature of defects and scaling of fragment sizes

Levy

Molinari

2010

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

a b s t r a c tDefects play a critical role in the dynamic fragmentation process of structural ceramics. Cracks initiate at seemingly random locations, propagate and coalesce to form fragments. The process is accompanied by stress release waves, whose influence is difficult to account for without numerical analysis. In this paper, we use a finite-element program with a cohesive fracture capability, to relate a defect distribution contained in a material with the resulting number of fragments. We show how the distribution tail, e.g. the number of large defects, and the rate at which cracks can be initiated at these sites have a critical influence on the generation of stress release waves and thus on the fragmentation process. Our numerical calculations yield a new factor, which we label communication factor, that we use to normalize the average fragment size and to define a new scaling function of material properties, defect statistics and loading rate.

show abstract

Section: Scaling Of the Average Fragment Sizesupporting

confidence: 67%

Dynamic fragmentation of ceramics, signature of defects and scaling of fragment sizes

Levy

Molinari

2010

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

show abstract

“…They introduced a general criterion for timedependent dynamic fracture initiation by using the con-cept of cumulative damage (11) . The criterion is expressed by the following equation:…”

Section: Fragmentation Modelmentioning

confidence: 99%

Numerical Analysis of Kidney Stone Fragmentation by Short Pulse Impingement

Mihradi

Homma

Kanto

2004

JSME Int. J., Ser. A

View full text Add to dashboard Cite

In this work, numerical analyses are performed to study the behavior of stresses generated inside a kidney stone by direct pulse impingement during extracorporeal shock wave lithotripsy (ESWL), which leads to fragmentation of the stone. LS-DYNA, an explicit Finite Element code for non-linear dynamic analysis is employed to model the problems. Effects of pulse duration and acoustic property of the stone on stress field evolution inside the stone are studied for the pulse duration of 0.5 to 5.0 µs and two acoustic impedances of actual kidney stones. The use of double shock wave sources to fragment the kidney stone is also considered in this paper. The effectiveness of this method for the kidney stone fragmentation is confirmed. Finally, the numerical analysis for the stone fragmentation is well compared with experimental results to confirm that the numerical analyses in this work provide reasonable results.

show abstract

“…An analytic representation of the impact momentum transfer provides a relation for the timedependent shear stress suffered by the brittle plate on impact. A Tuler-Butcher failure criterion [Tuler and Butcher, 1968] based on the time history of the shear stress provides in turn a plate breach criterion. Within the Tuler-Butcher framework, breach criteria based on stress, on work, or on impulse exhibit increasing degree of non-replica scaling.…”

Section: Discussionmentioning

confidence: 99%

Mathematical Approach to the Evaluation and Planning of Influence Operations

Albanese¹,

Duffie²

2007

View full text Add to dashboard Cite

REPORT DOCUMENTATION PAGEForm Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing this collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden to Department of Defense, Washington Headquarters Services, Directorate for Information SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S)U S Army Tacom TARDEC 6501 E. 11 Mile Road Warren, MI 48397-5000 SPONSOR/MONITOR'S REPORT NUMBER(S)12. DISTRIBUTION / AVAILABILITY STATEMENT DISTRIBUTION STATEMENT A. Approved for public release; distribution is unlimited. SUPPLEMENTARY NOTES ABSTRACTCeramics based on composition of the light intermetallic compounds, have demonstrated considerable success as a barrier material in armor applications. The exceptional strengthto-density ratio of ceramic plays a crucial role in the positive performance of ceramics in the terminal ballistic environment. Even the higher density ceramics, such as tungsten based materials, show promising behavior in space-limited armor applications.The implementation, optimization and evaluation of ceramic in armor systems benefit from the rapidly growing power of computational analysis and simulation. Production codes such as EPIC. CTH, ALE-3D, among others, are making large strides toward the accurate and efficient simulations of the wide-ranging armor and anti-armor applications of concern.Central to the confident computational simulation of the performance of ceramics in the terminal ballistic environment is, of course, material response models, which describe the i i AcknowledgmentsThe author wishes to thank attendees of the several meetings hosted during this program year, on topics of ceramic armor materials testing and development, for providing stimulus for the work reported here. In particular, the author thanks Lisa Prokurat-Franks,

show abstract

A criterion for the time dependence of dynamic fracture

Cited by 38 publications

References 3 publications

Dynamic fragmentation of ceramics, signature of defects and scaling of fragment sizes

Dynamic fragmentation of ceramics, signature of defects and scaling of fragment sizes

Numerical Analysis of Kidney Stone Fragmentation by Short Pulse Impingement

Mathematical Approach to the Evaluation and Planning of Influence Operations

Contact Info

Product

Resources

About