Simulations of instability in dynamic fracture by the cracking particles method |
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Authors: | Timon Rabczuk Ted Belytschko |
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Affiliation: | a Department of Mechanical Engineering, University of Canterbury, Private Bar 4800, Christchurch, New Zealand b Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road Rm. A210, Evanston, IL 60208-3111, USA |
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Abstract: | Crack instabilities and the phenomenon of crack speed saturation in a brittle material (PMMA) are studied with a meshfree cracking particle method. We reproduce the experimental observation that the computed terminal crack speeds attained in PMMA specimens are substantially lower than the Rayleigh wave speed; the computed crack speeds agree quite well with the reported experimental results. We also replicate repetitive microcrack branching along with the increased rate of energy dissipation after attainment of a critical crack speed, even in the absence of microstructural defects. We show that the presence of microdefects changes the response only a little. The computations reproduce many of the salient features of experimental observations. |
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Keywords: | Dynamic instability Microcrack branching Microvoids Meshfree cracking particle method |
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