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Critical pressure of delamination of a film and a vessel

Following the approach of Griffith, Sneddon and Muskhelishvili calculated the pressure of tear propagation in elastic media. Gent and Lewandowski collected these works and using Hencky's approximation of membrane deformation, introduced a collection of relationships on the debonding of films from substrates by pressure (left panel).

Effective stiffness as a concave function of inhomogeneity properties

Hi everyone, I am a postdoc at Yale University. I am posting on some of my previous work on fiber networks and heterogeneous materials. We reported that effective stiffness is a concave function of inhomogeneity properties, and effective stiffness becomes smaller with increasing heterogeneity as an example consequence. 

 

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