By Gianni Dal Maso, Antonio de Simone, Franco Tomarelli

ISBN-10: 3764375647

ISBN-13: 9783764375645

This quantity includes the court cases of the overseas workshop Variational difficulties in fabrics technological know-how, which was once together geared up via the foreign college for complex experiences (SISSA) of Trieste and by way of the Dipartimento di Matematica"Francesco Brioschi" of the Politecnico di Milano. The convention came about at SISSA from September 6 to ten, 2004.The examine of variational difficulties in fabrics technological know-how has a protracted heritage, and it has contributed much in shaping our realizing on how fabrics paintings and practice. there's, although, a contemporary renewed curiosity during this topic as a result of the fruitful interplay among mathematical research and the modelling of latest, technologically complex fabrics. On one hand, a large crew of analysts has present in fabrics technology a priceless resource of idea for brand new variational theories and engaging difficulties. however, staff within the fields of theoretical, utilized, and computational mechanics are more and more utilizing leading edge variational strategies. The workshop meant to study the various contemporary advances stemming from the profitable interplay among the 2 groups, and to spot promising parts for additional cooperation.Talks have been dedicated to a large spectrum of analytical recommendations and of actual platforms and phenomena. They integrated the research of BV vector fields, course functionals over Wasserstein areas, variational ways to quasi-static evolution, free-discontinuity issues of functions to fracture and plasticity, platforms with hysteresis or with interfacial energies, evolution of interfaces, multi-scale research in ferromagnetismand ferroelectricity, variational strategies for the examine of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, targeted touch interactions, and section transitions in biaxial liquid crystals. This quantity collects contributions authored or co-authored through eleven of the 20 audio system invited to bring lectures on the workshop. all of them include unique leads to fields that are on the leading edge of present learn, and in speedy evolution.