

1997  PhD, Scuola Normale Superiore di Pisa, Italy  1997  2004  Postdoctoral Associate, Max Planck Institute for Mathematics in the Sciences, Leipzig  2004  Habilitation in Mathematics, University of Leipzig  2004  2008  Professor (C4), University of DuisburgEssen  Since 2008  Professor (W3), Institute for Applied Mathematics, University of Bonn 


My research activity focuses on variational problems with applications to materials science, in particular in elasticity and plasticity. One key theme is the elastic behavior of thin sheets. The starting point was a variational analysis of blistering in thin films [1], which contributed to a new understanding of the origin of microstructure in these systems. I then turned to the situation where compressive Dirichlet boundary conditions by confinement, as in an obstacle problem. The optimal scaling turned out to be different, being proportional to the thickness to the power [3]. 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 active was obtained in [4], and applied to simulate numerically an indentation test in [5]. At a finer scale, a linetension model for dislocations was derived in [10,9].
Future work will address interaction between different defects, such as damage and fracture, or density of interstitials and motion of dislocations. At the same time I intend to address microstructure formation in situations which cannot be addressed purely by energy minimization, such as plastic deformation under nonmonotonous loadings, or fracture propagation, or cycling in phase transformation in shapememory alloys. This will involve both the study of pathdependence in inelastic deformation and the study of hysteresis, and can be attacked by macroscopic rateindependent models or at a more microscopic level using transitionstate theory.


“From pair potentials to macroscopic plasticity”
project within DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”,
jointly with Stefan Müller and Michael Ortiz
“Hysteresis and microstructure in shape memory alloys”
project within DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”,
jointly with Barbara Zwicknagl
“Numerical optimization of shape microstructures”
project within DFG Collaborative Research Center SFB 1060 “The Mathematics of Emergent Effects”,
jointly with Martin Rumpf


Research Area B My research activity focuses on variational problems with applications to materials science, in particular in elasticity and plasticity. One key theme is the elastic behavior of thin sheets. The starting point was a variational analysis of blistering in thin films [1], which contributed to a new understanding of the origin of microstructure in these systems. A simplification of the blistering model leads to the scalar AvilesGiga functional, which was studied in [2]. I then turned to the situation where compressive Dirichlet boundary conditions by confinement, as in an obstacle problem. The optimal scaling turned out to be different, being proportional to the thickness to the power [3].
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 active was obtained in [4], and applied to simulate numerically an indentation test in [5]. The situation in a geometrically nonlinear setting is considerably more subtle. The relaxation for an elastically rigid problem with oneslipsystem was obtained in [6], the case of two slip systems was then addressed in [7]. The inclusion of a realistic elastic energy strongly reduces the coercivity of the functional, due to the multiplicative decomposition of the deformation gradient which is used in finite plasticity, leading to a soft behavior if hardening is not included [8]. At a finer scale, selfsimilar dislocation microstructures have been related to HallPetch effect [4] and a linetension model for dislocations was derived in [9]. 


[ 1] Hafedh Ben Belgacem, Sergio Conti, Antonio DeSimone, Stefan Müller
Energy scaling of compressed elastic filmsthreedimensional elasticity and reduced theories Arch. Ration. Mech. Anal. , 164: (1): 137 2002 ISSN: 00039527 DOI: 10.1007/s002050200206[ 2] Sergio Conti, Camillo De Lellis
Sharp upper bounds for a variational problem with singular perturbation Math. Ann. , 338: (1): 119146 2007 ISSN: 00255831 DOI: 10.1007/s0020800600702[ 3] Sergio Conti, Francesco Maggi
Confining thin elastic sheets and folding paper Arch. Ration. Mech. Anal. , 187: (1): 148 2008 ISSN: 00039527 DOI: 10.1007/s0020500700762[ 4] Sergio Conti, Michael Ortiz
Dislocation microstructures and the effective behavior of single crystals Arch. Ration. Mech. Anal. , 176: (1): 103147 2005 ISSN: 00039527 DOI: 10.1007/s0020500403532[ 5] Sergio Conti, Patrice Hauret, Michael Ortiz
Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to singlecrystal plasticity Multiscale Model. Simul. , 6: (1): 135157 2007 ISSN: 15403459 DOI: 10.1137/060662332[ 6] Sergio Conti, Florian Theil
Singleslip elastoplastic microstructures Arch. Ration. Mech. Anal. , 178: (1): 125148 2005 ISSN: 00039527 DOI: 10.1007/s0020500503718[ 7] Nathan Albin, Sergio Conti, Georg Dolzmann
Infiniteorder laminates in a model in crystal plasticity Proc. Roy. Soc. Edinburgh Sect. A , 139: (4): 685708 2009 ISSN: 03082105 DOI: 10.1017/S0308210508000127[ 8] Sergio Conti, Georg Dolzmann, Carolin Klust
Relaxation of a class of variational models in crystal plasticity Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. , 465: (2106): 17351742 2009 ISSN: 13645021 DOI: 10.1098/rspa.2008.0390[ 9] Sergio Conti, Adriana Garroni, Stefan Müller
Singular kernels, multiscale decomposition of microstructure, and dislocation models Arch. Ration. Mech. Anal. , 199: (3): 779819 2011 ISSN: 00039527 DOI: 10.1007/s0020501003337[ 10] Sergio Conti, Adriana Garroni, Michael Ortiz
The linetension approximation as the dilute limit of linearelastic dislocations Arch. Ration. Mech. Anal. , 218: (2): 699755 2015 ISSN: 00039527 DOI: 10.1007/s0020501508697[ 11] C. Reina, S. Conti
Kinematic description of crystal plasticity in the finite kinematic framework: a micromechanical understanding of {\boldF=\boldF^e\boldF^p} J. Mech. Phys. Solids , 67: : 4061 2014 ISSN: 00225096 DOI: 10.1016/j.jmps.2014.01.014[ 12] Sergio Conti, Georg Dolzmann
On the theory of relaxation in nonlinear elasticity with constraints on the determinant Arch. Ration. Mech. Anal. , 217: (2): 413437 2015 ISSN: 00039527 DOI: 10.1007/s0020501408359



2008  79th Annual Meeting of GAMM, Bremen 


Peter Gladbach (2016): “A phasefield model of dislocations on parallel slip planes”
Johannes Diermeier (2016): “Analysis of Martensitic Microstructures in ShapeMemory Alloys: A Low VolumeFraction Limit”,
now Researcher, Institute for Applied Mathematics, University of Bonn


 Master theses: 9
 Diplom theses: 3
 PhD theses: 3, currently 1


Download Profile 