Crack propagation due to brittle and ductile failures in microporous thermoelastoviscoplastic functionally graded materials

Batra, R.C.; Love, Bryan

doi:10.1016/j.engfracmech.2004.11.010

Cited by 22 publications

(12 citation statements)

References 43 publications

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“…17Time histories of the crack propagation speed at nominal axial strain rates of 200/s and 1,000/s propagation speed is higher for an axial strain rate of 1, 000/s than that for the axial strain rate of 200/s; these results are in qualitative agreement with those of Batra and Love[21] who employed the FEM, the nodal release technique, and simulated crack propagation at nominal strain rates of 200/s and 2,000/s. For a crack length of 2 mm and the nominal strain rate of 200/s, both analyses give crack propagation speed of 1.9 km/s.…”

supporting

confidence: 82%

“…Whereas for static problems, one often uses either the critical SIF, or the critical crack opening displacement, or the critical value of the energy release rate as the criterion for crack initiation, for a dynamic problem the choice of the criterion is rather fuzzy. For example, Batra and Love [21] found that in mode-I transient deformations of a tungsten plate the J-integral increases essentially monotonically with the crack length when the nominal axial strain rate is 200/s but exhibits oscillations at the higher nominal axial strain rate of 2,000/s. Here we adopt the same criterion as used by Batra and Love [21], namely, that a crack initiates at a point when the maximum tensile principal stress there reaches a material-dependent critical value.…”

Section: Introductionmentioning

confidence: 97%

“…For example, Batra and Love [21] found that in mode-I transient deformations of a tungsten plate the J-integral increases essentially monotonically with the crack length when the nominal axial strain rate is 200/s but exhibits oscillations at the higher nominal axial strain rate of 2,000/s. Here we adopt the same criterion as used by Batra and Love [21], namely, that a crack initiates at a point when the maximum tensile principal stress there reaches a material-dependent critical value. Thus the criterion is local, does not incorporate any length scale, and does not account for deformations in the neighborhood of a point.…”

Section: Introductionmentioning

confidence: 97%

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Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method

Batra

Zhang

2006

Comput Mech

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We first present a nonuniform box search algorithm with length of each side of the square box dependent on the local smoothing length, and show that it can save up to 70% CPU time as compared to the uniform box search algorithm. This is especially relevant for transient problems in which, if we enlarge the sides of boxes, we can apply the search algorithm fewer times during the solution process, and improve the computational efficiency of a numerical scheme. We illustrate the application of the search algorithm and the modified smoothed particle hydrodynamics (MSPH) method by studying the propagation of cracks in elastostatic and elastodynamic problems. The dynamic stress intensity factor computed with the MSPH method either from the stress field near the crack tip or from the J-integral agrees very well with that computed by using the finite element method. Three problems are analyzed. One of these involves a plate with a centrally located crack, and the other with three cracks on plates's horizontal centroidal axis. In each case the plate edges parallel to the crack are loaded in a direction perpendicular to the crack surface. It is found that, at low strain rates, the presence of other cracks will delay the propagation of the central crack. However, at high strain rates, the speed of propagation of the central crack is unaffected by the presence of the other two cracks. In the third problem dealing with the simulation of crack propagation in a functionally graded plate, the crack speed is found to be close to the experimental one.

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supporting

confidence: 82%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 97%

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Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method

Batra

Zhang

2006

Comput Mech

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“…At t -95 (is, the z-displacements of the tip of the projectile equal 21. 15 300 MPa, respectively. Thus the axial displacement of the Time histories of the axial velocity of the tail-end of the projectile increases with an increase in the clamping presprojectile are illustrated in Fig.…”

Section: Armor Held By Uniform Pressure Applied To the Four-bar Framementioning

confidence: 99%

“…Rather a Kevlar fiber is cut into two pieces in front of the projectile nose resulting in the formation of a pathway for the bullet. It seems that the node splitting technique such as that employed in [15,16] or the use of cohesive zones may be more appropriate for modeling the breakage of Kevlar fiber into two parts. …”

mentioning

confidence: 99%

Optimization, Alternative Materials and Improvements in Body Armor Shields

Batra¹,

Zhang²,

Zheng³

et al. 2007

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The 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 the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports (0704-0188), 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number. PLEASE DO NOT RETURN YOUR FORM TO THE ABOVE ADDRESS. REPORT DATE IDD-MM-YYYY) 07-04-2009 REPORT TYPE Final AUTHOR(S)Batra, R. C, Zhang, G. M., Zheng, J. and Gopinath, G.5d. PROJECT NUMBER 5e. TASK NUMBER 5f. WORK UNIT NUMBER PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)Virginia Polytechnic Institute and State University Department of Engineering Science and Mechanics, M/C 0219 Blacksburg, VA 24061 PERFORMING ORGANIZATION REPORT NUMBER SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES)Office of Naval Research One Liberty Center (Suite 1425) 875 North Randolph Street Arlington, VA 22203-1995 SPONSOR/MONITORS ACRONYM(S) ONR SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTUnlimited t>il»+^"' ^TTCV,, SUPPLEMENTARY NOTES ABSTRACTIn the first part of the work, we analyze, with the computer code LS-DYNA, three-dimensional (3D) transient deformations of a 10-layer woven Kevlar armor held in a square steel frame and impacted at normal incidence by a 9 mm FMJ (full metal jacket), 124 grain projectile. The composite armor is discretized into weft and warp yarns to simulate its woven structure. The yarn is modeled as a 3D continuum. We consider failure of the yarn, and friction between adjoining layers and between the armor and the frame bars. For the armor perfectly bonded to the rigid frame bars, the computed residual speed and the residual kinetic energy of the projectile are found to increase with a decrease in the frame size implying thereby that the armor fixed in a smaller frame will have lower V50 than that of the same armor clamped in a larger frame. (The V50 of an armor equals the speed of a standard projectile that upon normal impact has 50% probability of just perforating the armor). For the armor allowed to slide between the frame bars, we have studied the effect of the pressure applied to the bars of the two-and the four-bar frames on the speed and the kinetic energy of the SUBJECT TERMS AbstractWe analyze, with the computer code LS-DYNA, three-dimensional (3D) transient deformations of a 10-layer woven Kevlar armor held in a square steel frame and impacted at normal incidence by a 9 mm FMJ (full metal jacket), 124 grain projectile. Th...

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Brittle and Ductile Failure in Thermoviscoplastic Solids under Dynamic Loading

Batra

Love

Fracture of Nano and Engineering Materials and Structures

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Crack propagation due to brittle and ductile failures in microporous thermoelastoviscoplastic functionally graded materials

Cited by 22 publications

References 43 publications

Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method

Search algorithm, and simulation of elastodynamic crack propagation by modified smoothed particle hydrodynamics (MSPH) method

Optimization, Alternative Materials and Improvements in Body Armor Shields

Brittle and Ductile Failure in Thermoviscoplastic Solids under Dynamic Loading

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