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Sergio ContiDate of birth: 03 Dec 1971Academic career1997 PhD, Scuola Normale Superiore di Pisa1997–2004 Postdoctoral associate, MPI for Mathematics inthe Sciences, Leipzigv University2004 Habilitation, Leipzig University2004–2008 Professor (C4), Duisburg-Essen University2008– Professor (W3), BonnInvited Lectures2008 79th Annual Meeting of GAMM, Bremen2008 SIAM Conference on Mathematical Aspects of Materials Science, PhiladelphiaResearch Projects and ActivitiesOne joint project in DFG Priority Program 1239 ”Change of microstructure and shape of solidmaterials by external magnetic fields”One joint project in DFG Priority Program 1253 ”Optimization with partial differential equations”One joint project in DFG Research Group FOR 797 ”Analysis and computation of microstructurein finite plasticity”One project and one joint project in SFB 611 ”Singular Phenomena and Scaling in MathematicalModels”Research Area B My research activity focuses on variational problems with applications to materialsscience, in particular in elasticity and plasticity. One key theme is the elastic behavior ofthin sheets. The starting point was a variational analysis of blistering in thin films [BBCDM02],which contributed to a new understanding of the origin of microstructure in these systems. Asimplification of the blistering model lead to the scalar Aviles-Giga functional, which was studiedin [CDL07]. I then turned to the situation where compressive Dirichlet boundary conditions byconfinement, as in an obstacle problem. The optimal scaling turned out to be different, beingproportional to the thickness to the power 5/3 [CM08].A second line of thought focused on variational models in crystal plasticity and their relaxation.An explicit relaxation of a geometrically linear model in which finitely many slip systems are activewas obtained in [CO05], and applied to simulate numerically an indentation test in [CHO07].The situation in a geometrically nonlinear setting is considerably more subtle. The relaxationfor an elastically rigid problem with one-slip-system was obtained in [CT05], the case of twoslip systems was then addressed in [ACD09]. The inclusion of a realistic elastic energy stronglyreduces the coercivity of the functional, due to the multiplicative decomposition of the deformationgradient which is used in finite plasticity, leading to a soft behavior if hardening is notincluded [CDK09]. At a finer scale, self-similar dislocation microstructures have been related toHall-Petch effect [CO05] and a line-tension model for dislocations was derived in [CGM11].Supervised thesesBachelor theses: 1Diplom theses: 3PhD theses: 2, currently 2Selected PhD studentsAllan ChanSelected publications

[ACD09] ALBIN, Nathan ; CONTI, Sergio ; DOLZMANN, Georg: Infinite-order laminates in a model in crystalplasticity. In: Proc. Roy. Soc. Edinburgh Sect. A 139 (2009), Nr. 4, S. 685–708. – ISSN 0308–2105[BBCDM02] BEN BELGACEM, Hafedh ; CONTI, Sergio ; DESIMONE, Antonio ; MÜLLER, Stefan: Energy scaling ofcompressed elastic films—three-dimensional elasticity and reduced theories. In: Arch. Ration. Mech.Anal. 164 (2002), Nr. 1, S. 1–37. – ISSN 0003–9527[CDK09] CONTI, Sergio ; DOLZMANN, Georg ; KLUST, Carolin: Relaxation of a class of variational models incrystal plasticity. In: Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 465 (2009), Nr. 2106, S. 1735–1742. – ISSN 1364–5021[CDL07] CONTI, Sergio ; DE LELLIS, Camillo: Sharp upper bounds for a variational problem with singular perturbation.In: Math. Ann. 338 (2007), Nr. 1, S. 119–146. – ISSN 0025–5831[CGM11] CONTI, Sergio ; GARRONI, Adriana ; MÜLLER, Stefan: Singular kernels, multiscale decomposition ofmicrostructure, and dislocation models. In: Arch. Rat. Mech. Anal. 199 (2011), S. 779–819[CHO07] CONTI, Sergio ; HAURET, Patrice ; ORTIZ, Michael: Concurrent multiscale computing of deformationmicrostructure by relaxation and local enrichment with application to single-crystal plasticity. In: MultiscaleModel. Simul. 6 (2007), Nr. 1, S. 135–157 (electronic). – ISSN 1540–3459[CM08] CONTI, Sergio ; MAGGI, Francesco: Confining thin elastic sheets and folding paper. In: Arch. Ration.Mech. Anal. 187 (2008), Nr. 1, S. 1–48. – ISSN 0003–9527[CO05] CONTI, Sergio ; ORTIZ, Michael: Dislocation microstructures and the effective behavior of single crystals.In: Arch. Ration. Mech. Anal. 176 (2005), Nr. 1, S. 103–147. – ISSN 0003–9527[CT05] CONTI, Sergio ; THEIL, Florian: Single-slip elastoplastic microstructures. In: Arch. Ration. Mech. Anal.178 (2005), Nr. 1, S. 125–148. – ISSN 0003–9527