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The phase-field approach to predicting crack initiation and propagation relies on a damage
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accumulation function to describe the phase, or state, of fracturing material. The material is in some
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phase between either completely undamaged or completely cracked. A continuous transition
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between the two extremes of undamaged and completely fractured material allows cracks to be
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modeled without explicit tracking of discontinuities in the geometry or displacement fields. A
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significant feature of these models is that the behavior of the crack is completely determined by a
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coupled system of partial differential equations. There are no additional calculations needed to
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determine crack nucleation, bifurcation, and merging.
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In this presentation, we will review our current work on applying second-order and fourth-order
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phase-field models to quasi-static and dynamic fracture of brittle and ductile materials, within the
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framework of isogeometric analysis. We will present results for several two- and three-dimensional
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problems to demonstrate the ability of the phase-field models to capture complex crack propagation
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patterns. 
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{| class="wikitable" style="margin-left: auto; margin-right: auto; border: none;"
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|-
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! Recording of the presentation
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|-
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| <embedvideo service="youtube">https://www.youtube.com/watch?v=JwaH1QDJs68</embedvideo>
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|}
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Published on 07/06/16

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