Burnett coefficients and laminates
Carlos Conca, Jo. San Martín, Loredana Smaranda, M. Vanninathan · Applicable Analysis · 2011
The object of discussion of this article is the fourth-order tensor d introduced as a set of macro coefficients associated with fine periodic structures. Focus of attention is its variation on laminated microstructures. Complete bounds are obtained on its quartic form along with the corresponding optimal structures. Differences with corresponding results for the homogenized matrix are pointed out. Using Blossoming Principle, it is shown that d is not negative in the sense of Legendre–Hadamard, even though its quartic form is negative.