Numerical investigation of dynamic crack branching under biaxial loading
- 428 Downloads
Dynamic crack growth and branching of a running crack under various biaxial loading conditions in homogeneous and heterogeneous brittle or quasi-brittle materials is investigated numerically using RFPA2D (two-dimensional rock failure process analysis)-Dynamic program which is fully parallelized with OpenMP directives on Windows. Six 2D models were set up to examine the effect of biaxial dynamic loading and heterogeneity on crack growth. The numerical simulation vividly depicts the whole evolution of crack and captured the crack path and the angles between branches. The path of crack propagation for homogenous materials is straight trajectory while for heterogeneous materials is curved. Increasing the ratio of the loading stress in x-direction to the stress in y-direction, the macroscopic angles between branches become larger. Some parasitic small cracks are also observed in simulation. For heterogeneous brittle and quasi-brittle materials coalescence of the microcracks is the mechanism of dynamic crack growth and branching. The crack tip propagation velocity is determined by material properties and independent of loading conditions.
KeywordsNumerical simulation Dynamic crack branching Biaxial loading Heterogeneity Parallel computation
Unable to display preview. Download preview PDF.
- Eshelby JD (1970) Energy relations and the energy-momentum tensor in continuum mechanics. In: Kanninen MF, Adler WF, Rosenfield AR, Jaffee RI (eds) Inelastic behaviour of solids. pp 77–144Google Scholar
- Freund LB (1998) Dynamic fracture mechanics. Cambridge University Press, CambridgeGoogle Scholar
- Kalthoff JF (1973) On the propagation direction of bifurcated cracks. In: Sin GC (ed) Dynamic crack propagation. Noordhoff, Leyden, pp 449–458Google Scholar
- Nishioka T (2010) Advanced studies on simulation methodologies for very complicated fracture phenomena. IOP Conf Ser Mater Sci Eng 10:012046. doi: 10.1088/1757-899X/10/1/012046
- Schardin H (1959) Velocity effects in fracture. In: Averbach BL, Felbeck DK, Hahn GT, Thomas DA (eds) Fracture. Wiley, New York, pp 297–329Google Scholar
- Yoffe E (1951) The moving griffith crack. Philos Mag 42: 739–750Google Scholar