Abstract
A dynamic-crack-curving criterion, which is valid under pure Mode I or combined Modes I and II loadings and which is based on either the maximum circumferential stress or minimum strain-energy-density factor at a reference distance ofr 0 from the crack tip, is verified with dynamic-photoelastic experiments. Directional stability of a Mode I crack propagation is attained when\(r_o= \frac{1}{{128\pi }}(\frac{{K_r }}{{\sigma _{ox} }})^2 V_o^2 (C,C_1 ,C_2 ) > r_c \) wherer c =1.3 mm for Homalite-100 used in the dynamic-photoelastic experiments.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Erdogan, F. andSih, G.C., “On the Crack Extension in Plates Under Plane Loading and Transverse Shear,”Trans. ASME J. Basic Engrg. 85 (D),519–527 (1963).
Williams, J.G. andEwing, P.D., “Fracture Under Complex Stress-The Angled Crack Problem,”Int. J. Fract. Mech.,8,441–446 (1972).
Finnie, I. andSaith, A., “A Note on the Angled Crack Problen and the Directional Stability of Crack,”Int. F. Fract.,9,484–486 (1973).
Streit, R. andFinnie, I., “An Experimental Investigation of Crack-path Directional Stability,”Experimental Mechanics,20 (1),17–23 (Jan. 1980).
Cotterell, B. andRice, J.R., “Slightly Curved or Kinked Cracks,”Int. J. Frac.,11, (2),155–164 (1981).
Karihaloo, B.L., Keer, L.M., Nemat-Nasser, S and Oranatnachai, A., “Approximate Description of Crack Kinking and Curving,” ASME Paper No. 81-APM-22.
Hussain, M.A., Pu, S.L. and Underwood, J., “Strain-Energy-Release Rate for a Crack Under Combined Mode I and Mode II,” ASTM-STP-560, 2–28 (1974).
Palaniswamy, K. andKnauss, W.G., “On the Problem of Crack Extension in Brittle Solids Under General Loading,”Mechanics Today,4,ed. S. Nemat-Nasser, Pergamon Press,87–148 (1978).
Gupta, G.D., “Strain Energy Release Rate for Mixed Mode Crack Problem,” ASME Paper No. 76-WA/PVP-7.
Wu, C.H., “Elasticity Problems of Slender Z-Crack,”J. Elasticity,8,183–205 (1978).
Hayashi, K. andNemat-Nasser, S., “Energy Release Rate and Crack Kinking,”Int. J. of Solids and Structures,17,107–114 (1981).
Karihaloo, B.L., Keer, L.M. andNemat-Nasser, S., “Crack Kinking Under Non-Symmetric Loading,”Engrg. Fract. Mech.,13,879–888 (1980).
Sih, G.C., “A Special Theory of Crack Propagation,”Methods of Analysis and Solutions of Crack Problems,1, ed.G.C. Sih,Noordhoff Inter. Publishing,Leyden,21–45 (1973).
Theocaris, P.S. andAndrianopoulos, N.P., “A Modified Strain Energy Density Criterion Applied to Crack Propagation,”J. Appl. Mech.,49, (1),81–86 (1982).
Yoffe, E.H., “The Moving Griffith Crack,”Phil. Mag.,42,739–750 (1951).
Sih, G.C., “Dynamic Crack Problems: Strain Energy Density Fracture Theory,”Elastodynamic Crack Problems,4, ed.G.C. Sih,Noordhoff Inter. Publishing,Leyden,17–37 (1977).
Freund, L.B., “Dynamic Crack Propagation,” The Mechanics of Fracture,19,ed. by F. Erdogan, ASME,105–134 (1976).
Freund, L.B., “The Mechanics of Dynamic Shear Crack Propagation,”J. Geophysical Res.,84 (35),2199–2209 (1978).
Kobayashi, A.S. andRamulu, M., “Dynamic Stress-intensity Factors for Unsymmetric Dynamic Isochromatics,”Experimental Mechanics,21 (1),41–48 (Jan. 1981).
Ramulu, M., “Dynamic Crack Curving and Branching,” doctoral thesis submitted to the Univ. of Washington (March 1982).
Kobayashi, A.S. andRamulu, M., “Dynamic Mixed Mode Fracture,”Proc. U.S.-Greece Symp. on Mixed Mode Fracture, ed.G. Sih andP.S. Theocaris, Noordhoff, Holland (1981).
Kobayashi, A.S. andMall, S., “Dynamic Fracture Toughness of Homalite-100,”Experimental Mechanics,18 (1),11–18 (Jan. 1978).
Kobayashi, A.S. andChan C.F., “A Dynamic Photoelastic Analysis of Dynamic-tear-test Specimen,”Experimental Mechanics,16 (5),176–181 (May 1976).
Bradley, W.B. andKobayashi, A.S., “Fracture Mechanics—A Photoelastic Investigation,”Engrg. Frac. Mech.,3,317–332 (1971).
Iida, S. andKobayashi, A.S., “Crack Propagation Rate in 7075-T6 Plates Under Cyclic Tensile and Transverse Shear Loading,”J. Basic Engrg., Trans. of ASME,91,Series D (4),764–769 (Dec. 1964).
Kobayashi, A.S., Mall, S. andLee, M.H., “Fracture Dynamics of Wedge-Loaded Double Cantilever Beam Specimen,”Cracks and Fracture, ASTM STP, 601, 274–290 (June 1976).
Wade, B.G. andKobayashi, A.S., “Photoelastic Investigation on the Crack Arrest Capability of Pretensioned Stiffened Panels,”Experimental Mechanics,15 (1),1–9 (1975).
Panasyuk, V.V. andBrezhnitskiy, L.T., Voprosy Mechaniki, Real nogo Tverdogo Tela No. 3, Naukova Dumka Press, Kiev (1965).
Benbow, J.J. andRoesler, F.C., “Experiments on Controlled Fractures,”Proc. Phys. Soc.,70,Ser. B,201–211 (1957).
Cotterell, B., “Notes on the Paths and Stability of Cracks,”Int. J. Frac. Mech.,2,526–533 (1966).
Cotterell, B., “On Fracture Path Stability in the Compact Tension Test,”Int. J. Frac. Mech.,6,189–192 (1970).
Cotterell, B., “On Brittle Fracture Paths,”Int. J. Frac. Mech.,1,96–103 (1965).
Williams, M.L., “On the Stress Distribution at the Base of a Stationary Crack,”J. Appl. Mech.,24,109–116 (1957).
Tirosh, J., “Incipient Fracture Angle, Fracture Loci and Critical Stress for Mixed Mode Loading,”Eng. Frac. Mech.,9,607–616 (1977).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ramulu, M., Kobayashi, A.S. Dynamic crack curving—A photoelastic evaluation. Experimental Mechanics 23, 1–9 (1983). https://doi.org/10.1007/BF02328674
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02328674