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Geometric rigidity for incompatible fields and an application to strain-gradient plasticity.
S. Müller, L. Scardia and C. I. Zeppieri
preprint. | Abstract
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New results on $Gamma$-limits of integral functionals.
Nadia Ansini, Gianni Dal Maso, and Caterina Ida Zeppieri
preprint, to appear in Ann. Inst. H. Poincaré Anal. Non Linéaire. | Abstract
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Korn's second inequality and geometric rigidity with mixed growth conditions.
Sergio Conti, Georg Dolzmann and Stefan Müller
preprint. | Abstract
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Regularity results for flat minimizers of the Willmore functional.
P. Hornung
preprint. | Abstract
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2013
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Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions.
S. Conti, G. Dolzmann and C. Kreisbeck
Disc. Cont. Dyn. Systems S 6, pp. 1-16, 2013. | Abstract
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2012
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Line-tension model for plasticity as the $Gamma$-limit of a nonlinear dislocation energy.
Lucia Scardia and Caterina Zeppieri
SIAM J. Math. Anal. 44, pp. 2372-2400, 2012. | Abstract
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Asymptotic analysis of non-symmetric linear operators via Gamma-convergence.
Nadia Ansini and Caterina Zeppieri
SIAM J. Math. Anal. 44, pp. 1617-1635, 2012. | Abstract
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$h$-principle and rigidity for $C^1,alpha$ isometric embeddings.
Conti, Sergio, De Lellis, Camillo and Székelyhidi, László
Nonlinear Partial Differential Equations, Holden, Helge and Karlsen, Kenneth H. (Eds.), 7, pp. 83-116, Springer Berlin Heidelberg, 2012. | Abstract
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2011
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Asymptotic Behavior of Crystal Plasticity with One Slip System in the Limit of Rigid Elasticity.
S. Conti, G. Dolzmann and C. Kreisbeck
SIAM J. Math. Anal. 43, pp. 2337-2353, 2011. | Abstract
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Risk averse shape optimization.
S. Conti, H. Held, M. Pach, M. Rumpf and R. Schultz
SIAM J. Control and Optim. 49, pp. 927-947, 2011. | Abstract
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On scalar metrics that maximize geodesic distances in the plane.
Sergio Conti and Ben Schweizer
Calc. Var. PDE 41, pp. 151-177, 2011. | Abstract
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Coupling of order parameters, chirality, and interfacial structures in multiferroic materials.
Sergio Conti, Stefan Müller, Arkady Poliakovsky and Ekhard K H Salje
J. Phys.: Condens. Matter 23, pp. 142203, 2011. | Abstract
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Singular kernels, multiscale decomposition of microstructure, and dislocation models.
Sergio Conti, Adriana Garroni and Stefan Müller
Arch. Rat. Mech. Anal. 199, pp. 779-819, 2011. | Abstract
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Continuum Limit of a Double-Chain Model for Multiload Shape Optimization.
P. Atwal
J. Convex Analysis 18, pp. 153-172, 2011. | Abstract
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The div-curl lemma for sequences whose divergence and curl are compact in $W^-1,1$.
S. Conti, G. Dolzmann and S. Müller
Comptes Rendus Math. 349, pp. 175-178, 2011. | Abstract
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Euler-Lagrange equation and regularity for flat minimizers of the Willmore functional.
P. Hornung
Comm. Pure Appl. Math 64, pp. 367-441, 2011. | Abstract
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2010
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Geometrically nonlinear models in crystal plasticity and the limit of rigid elasticity.
S. Conti, G. Dolzmann and C. Kreisbeck
PAMM 10, pp. 3-6, 2010. | Abstract
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2009
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Minimizers of Kirchhoff's plate functional: Euler-Lagrange equations and regularity.
P. Hornung
Comptes Rendus Math. 347, pp. 647-650, 2009. | Abstract
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2008
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Mixed analytical-numerical relaxation in finite single-slip crystal plasticity.
C. Carstensen, S. Conti and A. Orlando
Cont. Mech. Thermod. 20, pp. 275-301, 2008. | Abstract
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A $Gamma$-convergence result for thin martensitic films in linearized elasticity.
Peter Hornung
SIAM J. Math. Anal. 40, pp. 186-214, 2008. | Abstract
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Ground state energy scaling laws during the onset and destruction of the intermediate state in a type-I superconductor.
R. Choksi, S. Conti, R. V. Kohn and F. Otto
Comm. Pure Appl. Math. 61, pp. 595-626, 2008. | Abstract
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Relaxation of some transversally isotropic energies and applications to smectic A elastomers.
J. Adams, S. Conti, A. DeSimone and G. Dolzmann
Math. Mod. Meth. Appl. Sci. 18, pp. 1-20, 2008. | Abstract
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2007
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Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions.
S. Conti, G. Dolzmann and B. Kirchheim
Ann. I. H. Poincar'e (C) Non Linear Analysis 24, pp. 953-962, 2007. | Abstract
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Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity.
S. Conti, P. Hauret and M. Ortiz
Multiscale Modeling and Simulation 6, pp. 135-157, 2007. | Abstract
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2006
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Sufficient conditions for the validity of the Cauchy-Born rule close to $SO(n)$.
S. Conti, G. Dolzmann, B. Kirchheim and S. Müller
J. Eur. Math. Soc. (JEMS) 8, pp. 515-530, 2006. | Abstract
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Derivation of elastic theories for thin sheets and the constraint of incompressibility.
S. Conti and G. Dolzmann
Analysis, Modeling and Simulation of Multiscale Problems, A. Mielke (Eds.), , pp. 225-247, Springer, 2006. | Abstract
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Relaxation and the computation of effective energies and microstructures in solid mechanics.
S. Bartels, C. Carstensen, S. Conti, K. Hackl and U. Hoppe and A. Orlando
Analysis, Modeling and Simulation of Multiscale Problems, A. Mielke (Eds.), , pp. 197-224, Springer, 2006. | Abstract
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Relaxation of single-slip single-crystal plasticity with linear hardening.
S. Conti
Multiscale Materials Modeling, P. Gumbsch (Eds.), , pp. 30-35, Fraunhofer IRB, 2006. | Abstract
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Gamma convergence for phase transitions in impenetrable elastic materials.
S. Conti and B. Schweizer
Multi scale problems and asymptotic analysis, 2006. | Abstract
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2005
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A new approach to counterexamples to $L^1$ estimates: Korn's inequality, geometric rigidity, and regularity for gradients of separately convex functions.
S. Conti, D. Faraco and F. Maggi
Arch. Rat. Mech. Anal. 175, pp. 287-300, 2005. | Abstract
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2004
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Energetics and switching of quasi-uniform states in small ferromagnetic particles.
F. Alouges, S. Conti, A. DeSimone and Y. Pokern
ESAIM Math. Model. Numer. Anal. 38, pp. 235-248, 2004. | Abstract
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Symmetry and reversibility of martensitic transformations.
K. Bhattacharya, S. Conti, G. Zanzotto and J. Zimmer
Nature 428, pp. 55-59, 2004. | Abstract
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A Variational Model for Reconstructive Phase Transformations in Crystals, and their Relation to Dislocations and Plasticity.
S. Conti and G. Zanzotto
Arch. Rat. Mech. Anal. 173, pp. 69-88, 2004. | Abstract
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2003
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Some remarks on the theory of elasticity for compressible Neohookean materials.
S. Conti and C. DeLellis
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5), pp. 521-549, 2003. | Abstract
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Polyconvexity equals rank-one convexity for connected isotropic sets in $M^2times2$.
S. Conti, C. De Lellis, S. Müller and M. Romeo
C. R. Acad. Sci. Paris, Ser. I 337, pp. 233-238, 2003. | Abstract
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2002
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Multiscale Modeling of Materials -- the Role of Analysis.
S. Conti, A. DeSimone, G. Dolzmann, S. Müller and F . Otto
Trends in Nonlinear Analysis, M. Kirkilionis and S. Krömker and R. Rannacher and F. Tomi (Eds.), , pp. 375-408, Springer, 2002. | Abstract
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2001
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2000
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Asymptotic self similarity in a model of branching in microstructured materials.
S. Conti
Proceedings of the Equadiff 99 conference held in Berlin, August 1999, World Scientific, 2000. | Abstract
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Rigorous bounds for the Föppl-von K'arm'an theory of isotropically compressed plates.
H. Ben Belgacem, S. Conti, A. DeSimone and S. Müller
J. Nonlinear Sci. 10, pp. 661-683, 2000. | Abstract
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