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December 4, 2014, 17:13 |
elasticity tensor of a polycrystal
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New Member
khaled alyani
Join Date: Dec 2014
Posts: 1
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Hi everybody,
i have a problem that i wanted to share with you if we consider a polycrystal made of cylindrical fibers following a von mises-fisher distribution equation (17) in http://bit.do/vmisesfisher (called orientation distribution function of fibers) . i must change the probability density in equation (28) http://bit.do/e28 with the von mises-fisher than i must follow the steps listed in the article http://bit.do/effectivetensor1 , http://bit.do/effectivetensor2 , http://bit.do/effectivetensor3 so that by using orientation averaging, i find the effective (elasticity) tensor of the polycrystal it s an optimization problem arg min of the integral over rotation group of the von mises-fisher distribution multiplied by the distance between the effective tensor of the polycrystal (what we are looking for) and the one of a single cylindrical fiber (given). if any one could give ideas about how can i start solving this optimization problem to find the effective tensor of the polycrystal . thank you |
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odf elasticity tensor |
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