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Title Variational problems in materials science / Gianni dal Maso, Antonio DeSimone, Franco Tomarelli, editors.
Imprint Basel ; Boston : Birkhauser Verlag, 2006.

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Series Progress in nonlinear differential equations and their applications ; v. 68
Progress in nonlinear differential equations and their applications ; v. 68.
Subject Materials science -- Mathematics -- Congresses.
Variational principles -- Congresses.
Alt Name Dal Maso, Gianni.
DeSimone, Antonio.
Tomarelli, Franco, 1955-
Description 1 online resource (x, 159 pages) : illustrations.
Bibliography Note Includes bibliographical references.
Contents Remarks on a multiscale approach to grain growth in polycrystals / K. Barmak [and others] -- Another brick in the wall / A. Braides and V. Chiado Piat -- Variational problems for functionals involving the value distribution / G. Buttazzo and M.O. Rieger -- Bi-modal cohesive energies / G. Del Piero -- Criterion for tricritical points in liquid crystal phases / G. De Matteis and E.G. Virga -- Asymptotics of boundary value problems for supercritical Ginzburg-Landau energies / N. Desenzani and I. Fragala -- An introduction to H-measures and their applications / G.A. Francfort -- A singular perturbation result with a fractional norm / A. Garroni and G. Palatucci -- Smooth and creased equilibria for elastic-plastic plates and beams / D. Percivale and F. Tomarelli -- On concentrated contact interactions / P. Podio-Guidugli -- Discontinuous hysteresis and P.D.E.s / A. Visintin.
Summary This volume contains the proceedings of the international workshop Variational Problems in Materials Science, which was jointly organized by the International School for Advanced Studies (SISSA) of Trieste and by the Dipartimento di Matematica ̀̀Francesco Brioschi'' of the Politecnico di Milano. The conference took place at SISSA from September 6 to 10, 2004. The study of variational problems in materials science has a long history, and it has contributed a lot in shaping our understanding on how materials work and perform. There is, however, a recent renewed interest in this subject as a consequence of the fruitful interaction between mathematical analysis and the modelling of new, technologically advanced materials. On one hand, a sizable group of analysts has found in materials science a valuable source of inspiration for new variational theories and interesting problems. On the other hand, workers in the fields of theoretical, applied, and computational mechanics are increasingly using innovative variational techniques. The workshop intended to review some of the recent advances stemming from the successful interaction between the two communities, and to identify promising areas for further cooperation. Talks were devoted to a wide spectrum of analytical techniques and of physical systems and phenomena. They included the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, variational techniques for the study of crystal plasticity, of dislocations, and of concentrations in Ginzburg-Landau functionals, concentrated contact interactions, and phase transitions in biaxial liquid crystals. This volume collects contributions authored or co-authored by 11 of the 20 speakers invited to deliver lectures at the workshop. They all contain original results in fields which are at the forefront of current research, and in rapid evolution.
ISBN 3764375647 (alk. paper)
3764375655 (electronic bk.)
9783764375652 (electronic bk.)
OCLC # 75387653
Link Springer e-books
Additional Format Print version: Variational problems in materials science. Basel ; Boston : Birkhauser Verlag, 2006 3764375647 (DLC) 2006045978 (OCoLC)67728819

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