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1 Computer Methods in Materials Science

1 2010

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The experimental research and the numerical modeling of the fracture phenomena in micro scale

Milenin A., Byrska D., Grydin O., Shaper M.

Computer Methods in Materials Science

2010

Vol. 10, No. 2

61-68

Magnesium alloys with increased bio-compatibility are applied in medicine for the sake of high compatibility and solubility in human body. Production of surgical threads to integration of tissue can be example of the application of these types of alloys. The MgCa0.8 magnesium alloy has a low plasticity at cold deformation, therefore, the drawing process of thin wire is difficult. Prediction of wire fracture in a drawing process of MgCa0.8 alloy is very important from theoretical and practical point of view. The macro scale fracture models are not capable to predict the important phenomena, such as cracking in grains boundaries, moment of initiation of micro-cracks, stress relaxation in grain after micro-cracking etc. Present work is dedicated to the development of a numerical model of MgCa0.8 fracture phenomena prediction in micro scale. The first part of the work is focused on experimental studies: tensile tests, which are data source for the flow stress model of MgCa0.8 alloy and metallographic analysis of material for micro scale fracture model. To understand fracture mechanism, physical modeling in 10000 N tensile/compression stage for a SEM for MgCa0.8 magnesium alloy was performed. This analysis shows that the material is cracking at the grain boundaries. Experiments in the chamber of SEM allows understanding of the fracture mechanism in special magnesium alloy MgCa0.8 and determining the empiric coefficients of fracture model in micro scale. The limit of deformation before initiations of micro-cracks was obtained. The second part of the work is focused on the development of the micro scale numerical model of fracture. The boundary element method is proposed for micro scale model. The mathematical model of fracture is developed for the two dimensional domain. The elastic-plastic theory of plasticity is used.