Hazell, Paul J.Iremonger, Michael J.2011-06-142011-06-142000-12-31Hazell PJ, Iremonger MJ. (2000) The numerical analysis of dynamically loaded ceramic: a crack softening approach. International Journal for Numerical Methods in Engineering, Volume 48, Issue 7, July 2000, pp. 1037-10530029-5981https://doi.org/10.1002/(SICI)1097-0207(20000710)48:7<1037::AID-NME914>3.0.CO;2-Rhttp://dspace.lib.cranfield.ac.uk/handle/1826/5495A physically based crack softening approach to modelling the failure of brittle materials that have been subjected to dynamic loading is presented and applied to a two-dimensional non-linear transient dynamic hydrocode. It is assumed that there are a number of evenly distributed and orientated micro flaws within the brittle material that are activated by a dynamically applied stress. Modes I and II stress intensity factors are calculated and compared to critical values, at which point the cracks grow at a velocity dependent on mode I stress intensity factor. The strength of the ceramic is degraded according to the length of the cracks. A simulation of a steel sphere impacting and penetrating a ceramic target at 1500 m/s is presented. Comparisons are drawn from experimental data.en-UKcrack-softeninghydrocodedynamicfailureceramicstrength lossArticle