Abstract
The transient response of the dynamic-tear-test specimen of a brittle material, Homalite-100, was investigated by dynamic photoelasticity and dynamic finite-element method. The dynamic stress-intensity factors obtained from dynamic photoelasticity and dynamic finite-element analyses were in reasonable agreement with each other. The dynamic finite-element analysis also showed that the dynamic-fracture-initiation toughness could be determined from the dynamicstrain response of a strain gage located near the crack tip in conjunction with a simple static analysis. Dynamic-fracture-toughness vs. crack-velocity relation was also obtained.
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Abbreviations
- K ID :
-
plane-strain dynamic (or fast)-fracture toughness
- G ID :
-
plane-strain dynamic-energy-release rate =\(\frac{{K_{ID}^2 (1 - v^2 )}}{E}\) whereA(c) is dynamic correction factor described in Ref. 5
- K Id :
-
plane-strain fracture toughness under dynamic loading, i.e., dynamic-initiation fracture toughness
- K IC :
-
plane-strain fracture toughness under static loading, i.e., standard ASTM designation
- K Im :
-
minimum dynamic resistance of a rapidly propagating crack expressed in terms of dynamic fracture toughness
- a :
-
crack length
- c :
-
crack velocity
- b :
-
DTT-specimen depth
- E, v, f, p, c 1,c 2 andc p :
-
are defined in Table 1
References
Kobayashi, A.S. andChan, C.F., “A Dynamic Photoelastic Analysis of Dynamic-tear-test Specimen,”Experimental Mechanics,16 (5),176–181 (May1976).
“Standard Method of Test for Plane-Strain Fracture Toughness of Metallic Materials, E399-74,” Book of ASTM Standards, ASTM, Philadelphia, PA, Part 31 (1974).
Loss, F.J., ed., “Structural Integrity of Water Reactor Pressure Boundary Components,” NRL Report 8006 (also NRL NUREG 1) (Aug. 26, 1976).
Hawthorne, J.R. and Loss, F.J., “Fracture Toughness Characterizations of Shipbuilding Steel,” Ship Struct. Comm. Report SCC-248, U.S. Coast Guard HQ (1976).
Kobayashi, A.S. and Mall, S., “Dynamic Photoelastic Analysis of Three Fracture Specimens,” Proc. Int. Conf. Dynamic Fract. Toughness, London, England, 259–272 (Jul. 5–7, 1976).
Irwin, G.R., Dally, J.W., Kobayashi, T., Fourney, W.L. and Etheridge, J.M., “A Photoelastic Characterization of Dynamic Fracture,” U.S. Nuclear Reg. Comm.,NUREG-0072 (Dec. 1976).
Bradley, W.B. andKobayashi, A.S., “An Investigation of Propagating Cracks by Dynamic Photoelasticity,”Experimental Mechanics,10 (3),106–113 (Mar.1970).
Kobayashi, A.S., Mall, S., Urabe, Y. and Emery, A.F., “A Numerical Dynamic Fracture Analysis of Three Wedge-Loaded DCB Specimens,” Proc. Int. Conf. Numerical Methods in Fract. Mech., University College of Swansea, 673–684 (Jan. 9–13, 1978).
Ireland, D.R., “Critical Review of Instrumented Impact Testing,” Proc. Int. Conf. Dynamic Fract. Toughness, London, England, 47–62 (Jul. 5–7, 1976).
Atluri, S.N., Kobayashi, A.S. andNakagaki, M., “Application of an Assumed Displacement Hybrid Finite Element Procedure to Two-Dimensional Problems in Fracture Mechanics,”AIAA J.,13, (6),734–739 (1975).
Freund, L.B. andHermann, G., “Dynamic Fracture of a Beam or Plate in Bending,”J. Appl. Mech.,98 (1),112–116 (Mar.1976).
Kobayashi, T. andDally, J.W., “The Relation Between Crack Velocity and Stress Intensity Factor in Birefringent Polymers,” Fast Fracture and Crack Arrest,ASTM STP 627,257–273 (1977).
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Mall, S., Kobayashi, A.S. & Urabe, Y. Dynamic photoelastic and dynamic finite-element analyses of dynamic-tear-test specimens. Experimental Mechanics 18, 449–456 (1978). https://doi.org/10.1007/BF02324280
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DOI: https://doi.org/10.1007/BF02324280