Calculus of Variations and Geometric Measure Theory

N. Ansini - V. Valente

On a nonlocal functional arising in the study of thin-film blistering

created by ansini on 26 Oct 2009
modified on 21 Apr 2010


Published Paper

Inserted: 26 oct 2009
Last Updated: 21 apr 2010

Journal: Analysis and Applications
Volume: 8
Pages: 109-123
Year: 2010


The energy of a Von K\'{a}rm\'{a}n circular plate is described by a nonlocal nonconvex one-dimensional functional depending on the thickness $\varepsilon$. Here we perform the asymptotic analysis via Gamma-convergence as the parameter $\varepsilon$ goes to zero.