Finite volume analysis of dynamic fracture phenomena – I. A node release methodology
Source abstract
Abstract
A novel node release numerical methodology based on the Finite Volume discretisation (Ivankovic et al., 1994) has been developed and applied for the simulation of (non-linear) elastic fractures where crack propagation velocities are not a priori known. The analysis is performed in two-dimensions by means of an unconditionally stable implicit time-marching scheme and a second order accurate conservative spatial differencing scheme. Application to single crack propagation problems has demonstrated the validity and accuracy of the proposed formulation for dynamic crack propagation. The results obtained by two examples of crack propagation in single edge notch tensile (SENT) and double cantilever beam (DCB) specimens show good agreement with selected numerical, experimental and analytical results. Based on these results, the formulation appears to be well suited to the study of rapid crack propagation (RCP) phenomena in brittle materials. This, combined with the simplicity and accuracy of the formulation, may provide a solid foundation for more physically realistic RCP computational methodologies other than that of the single linear elastic crack representation considered here.
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Research context
OpenAlex topics: Numerical methods in engineering · Fatigue and fracture mechanics · Composite Material Mechanics
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References (16)
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1. Berry, J.P. (1960a). Some kinetic considerations of the Griffith criterion for fracture. I. Equations of motion at constant force. Journal of Mechanics and Physics of Solids 8, 194.10.1016/0022-5096(60)90038-7 ↗
2. Berry, J.P. (1960b). Some kinetic considerations of the Griffith criterion for fracture. II. Equations of motion at constant deformation. Journal of Mechanics and Physics of Solids 8, 207.10.1016/0022-5096(60)90039-9 ↗
3. Demirdzic, I. and Muzaferija, S. (1994). Finite Volume methods for stress analysis in complex domains. International Journal of Numerical Methods in Engineering 37, 3751.10.1002/nme.1620372110 ↗
4. Freund, L.B. (1990). Dynamic Fracture Mechanics, Cambridge University Press, New York.10.1017/CBO9780511546761 ↗
5. Ivankovic, A. and Williams, J.G. (1993). A local modulus analysis of rapid crack propagation in polymers. International Journal of Fracture 64, 251.10.1007/BF00017844 ↗
6. Ivankovic, A., Demirdzic, I. Williams, J.G. and Leevers, P.S. (1994). Application of the Finite Volume method to the analysis of dynamic fracture problems. International Journal of Fracture 66, 357.10.1007/BF00018439 ↗
7. Kanninen, M.F. (1990). A critical appraisal of solution techniques in dynamic fracture mechanics. In: Numerical Methods in Fracture Mechanics (edited by Luxmoore, A.R. and Owen D.R.J.), Pineridge Press, New York.
8. Kanninen, M.F. and Popelar, C. (1985). Advanced Fracture Mechanics. Oxford University Press, New York.
9. Keegstra, P.N.R. (1977). Computer Studies of Dynamic Crack Propagation in Elastic Continua. Ph.D. Thesis, Imperial College of Science Medicine and Technology, London.
10. Malluck, J.F. and King. W.W. (1978). Fast fracture simulated by finite-element analysis which accounts for cracktip energy dissipation. In: Numerical Methods in Fracture Mechanics (edited by Luxmoore, A.R. and Owen, D.R.J.), University College, Swansea.
11. Nishioka, T., (1994). The State of the Art in Computational Dynamic Fracture Mechanics. JSME International Journal, Series A37, 313.
12. Nishioka, T. and Alturi, S.N. (1986). Computational methods in dynamic fracture. In: Computational Methods in the Mechanics of Fracture, Chapter 10 (edited by Alturi, S.N. ), Elsevier Science Publications.
13. Rydholm, G., Fredrikson, B. and Nilson, F. (1978). Numerical investigations of rapid crack propagation. In: Numerical Methods in Fracture Mechanics (edited by Luxmoore, A.R. and Owen, D.R.J.), University College, Swansea.
14. Stylianou, V. (1999). Finite Volume modelling of Rapid Crack Propagation (RCP) in Brittle Polymers. Ph.D. Thesis, Imperial College of Science, Medicine and Technology, London.
15. Wang, Y and Williams J.G. (1994). A numerical study of dynamic crack growth in isotropic DCB specimens. Composites 25, 323.10.1016/S0010-4361(94)80002-2 ↗
16. Williams J.G. and Wang, Y. (1996). Dynamic crack growth in TDCB specimens. International Journal of Mechanical Science 38, 1073.10.1016/0020-7403(95)00114-X ↗