181 citations · 1.7k across the 89 of their papers we have counts for
Showing 2016 · math-phShow all
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math-ph2016★ 41 cited
Bounds on Herglotz functions and fundamental limits of broadband passive quasi-static cloaking
Maxence Cassier, Graeme W. Milton
Using a sum rule, we derive new bounds on Herglotz functions that generalize those given in (Gustafson and Sjöberg 2010) and (Bernland, Luger and Gustafson 2011). These bounds appl…
math-ph2016★ 5 cited
Bounds for the response of viscoelastic composites under antiplane loadings in the time domain
Ornella Mattei, Graeme W. Milton
To derive bounds on the strain and stress response of a two-component composite material with viscoelastic phases, we revisit the so-called analytic method (Bergman 1978), which al…
math-ph2016★ 3 cited
A rigorous approach to the field recursion method for two-component composites with isotropic phases
Maxence Cassier, Aaron Welters, Graeme W. Milton
In this chapter of the book entitled, "Extending the Theory of Composites to Other Areas of Science" [edited by Graeme W. Milton, 2016] we give a rigorous derivation of the field e…