Preprint n.24/2008, del Dip. di Matematica "E. De Giorgi" dell'Università del Salento. We show an Almansi-type decomposition and explicit coefficients of asymptotic expansion around the origin for bi-harmonic functions in a disk with a crack. We deduce the stress intensity factor and modes coefficients of the leading term in the expansion for candidate local minimizer of the main part of Blake & Zisserman functional. We exhibit explicitly a nontrivial candidate for minimality which has a crack-tip and fulfils all integral and geometric conditions of extremality.
Candidate local minimizer of Blake & Zisserman functional
CARRIERO, Michele;LEACI, Antonio;
2008-01-01
Abstract
Preprint n.24/2008, del Dip. di Matematica "E. De Giorgi" dell'Università del Salento. We show an Almansi-type decomposition and explicit coefficients of asymptotic expansion around the origin for bi-harmonic functions in a disk with a crack. We deduce the stress intensity factor and modes coefficients of the leading term in the expansion for candidate local minimizer of the main part of Blake & Zisserman functional. We exhibit explicitly a nontrivial candidate for minimality which has a crack-tip and fulfils all integral and geometric conditions of extremality.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
