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math.AP2009
Optimal lower bounds on the local stress inside random thermoelastic composites
Yue Chen, Robert Lipton
A methodology is presented for bounding all higher moments of the local hydrostatic stress field inside random two phase linear thermoelastic media undergoing macroscopic thermomec…
math.AP2006
Homogenization and field concentrations in heterogeneous media
Robert Lipton
A multi-scale characterization of the field concentrations inside composite and polycrystalline media is developed. The analysis focuses on gradient fields associated with the inte…