Guiding Stress

Thursday, March 1, 2018 - 10:00am - 10:50am
Graeme Milton (The University of Utah)
If one seeks a two-phase conducting structure that is optimal for guiding a maximum amount of current in a desired direction, then the answer seems intuitively obvious. Just put the high conducting phase as layers or wires in the poor conducting phase. This was proved rigorously by Raitum (1978,1993). The analogous question for elasticity is easily posed: for a given prescribed average strain what range of values can the average stress take as the microgeometry varies over all configurations?
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