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Author ID: conti.sergio Recent zbMATH articles by "Conti, Sergio"
Published as: Conti, Sergio; Conti, S.
Homepage: https://www.iam.uni-bonn.de/aaa2/people/sergio-conti/
External Links: MGP · ResearchGate · dblp
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Serials

18 Archive for Rational Mechanics and Analysis
13 Journal of the Mechanics and Physics of Solids
7 Calculus of Variations and Partial Differential Equations
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 SIAM Journal on Mathematical Analysis
4 Communications on Pure and Applied Mathematics
4 Continuum Mechanics and Thermodynamics
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 SIAM Journal on Control and Optimization
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Nonlinear Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Multiscale Modeling & Simulation
2 Oberwolfach Reports
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Discrete and Continuous Dynamical Systems. Series S
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Statistical Physics
1 Indiana University Mathematics Journal
1 Journal of Optimization Theory and Applications
1 Mathematische Annalen
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal of Elasticity
1 SIAM Journal on Optimization
1 Journal of the European Mathematical Society (JEMS)
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Contemporary Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Lecture Notes in Applied and Computational Mechanics
1 Journal de l’École Polytechnique – Mathématiques
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bollettino dell’Unione Matematica Italiana

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,330 times in 702 Documents Cited by Year
Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144
Conti, Sergio; Ortiz, Michael
53
2005
Single-slip elastoplastic microstructures. Zbl 1076.74017
Conti, Sergio; Theil, Florian
48
2005
Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044
Conti, Sergio
45
2000
A new approach to counterexamples to \(L^1\) estimates: Korn’s inequality, geometric rigidity, and regularity for gradients of separately convex functions. Zbl 1080.49026
Conti, Sergio; Faraco, Daniel; Maggi, Francesco
45
2005
Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018
Conti, Sergio; Schweizer, Ben
45
2006
Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006
Conti, S.; DeSimone, A.; Dolzmann, G.
37
2002
Confining thin elastic sheets and folding paper. Zbl 1127.74005
Conti, Sergio; Maggi, Francesco
36
2008
\(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038
Conti, Sergio; De Lellis, Camillo; Székelyhidi, László
36
2012
Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048
Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan
34
2002
Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004
Conti, Sergio; De Lellis, Camillo
32
2003
A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni
32
2002
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031
Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix
28
2008
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
27
2000
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\). Zbl 1323.74018
Reina, C.; Conti, S.
27
2014
Phase field approximation of cohesive fracture models. Zbl 1345.49012
Conti, S.; Focardi, M.; Iurlano, F.
26
2016
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
25
2009
Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles
24
2016
The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079
Conti, Sergio; Garroni, Adriana; Ortiz, Michael
22
2015
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
22
2018
Relaxation of a model in finite plasticity with two slip systems. Zbl 1281.49006
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
22
2013
Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan
21
2006
On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010
Conti, Sergio; Dolzmann, Georg
20
2015
Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009
Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa
20
2015
Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A.
20
2018
Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004
Conti, Sergio; De Lellis, Camillo
19
2007
Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369
Conti, S.; Ortiz, M.
19
2008
Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
19
2019
Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
19
2017
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
18
2011
Which special functions of bounded deformation have bounded variation? Zbl 1381.26017
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
18
2017
Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009
Conti, Sergio
17
2008
\(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038
Conti, Sergio; Dolzmann, Georg
16
2009
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
16
2017
The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
15
2011
Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
15
2011
Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030
Chan, Allan; Conti, Sergio
15
2015
Low-energy deformations of thin elastic plates: isometric embeddings and branching patterns. Zbl 1137.74004
Conti, Sergio
14
2004
Relaxation of a class of variational models in crystal plasticity. Zbl 1186.74023
Conti, Sergio; Dolzmann, Georg; Klust, Carolin
14
2009
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
14
2011
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
14
2014
Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054
Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana
14
2019
A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022
Conti, Sergio; Schweizer, Ben
13
2006
Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd
12
2007
A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020
Conti, Sergio
12
2006
Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043
Conti, Sergio; Dolzmann, Georg
12
2006
Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. Zbl 1135.74005
Conti, Sergio; Hauret, Patrice; Ortiz, Michael
11
2007
Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326
Carstensen, Carsten; Conti, Sergio; Orlando, Antonio
11
2008
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
11
2007
Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301
Conti, S.; Faraco, D.; Maggi, F.; Müller, S.
10
2005
Infinite-order laminates in a model in crystal plasticity. Zbl 1167.74010
Albin, Nathan; Conti, Sergio; Dolzmann, Georg
10
2009
Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016
Conti, Sergio; Zwicknagl, Barbara
9
2016
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
9
2016
Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013
Chermisi, Milena; Conti, Sergio
8
2010
A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039
Conti, Sergio; Zanzotto, Giovanni
8
2004
Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373
Chan, Allan; Conti, Sergio
8
2014
Relaxation of some transversally isotropic energies and applications to smectic a elastomers. Zbl 1151.76373
Adams, James; Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg
8
2008
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015
Conti, S.; Klar, M.; Zwicknagl, B.
8
2017
A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735
Pandolfi, A.; Conti, S.; Ortiz, M.
7
2006
Derivation of a plate theory for incompressible materials. Zbl 1112.74037
Conti, Sergio; Dolzmann, Georg
7
2007
Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. Zbl 1304.49027
Conti, Sergio; Dolzmann, Georg
7
2014
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
7
2017
Existence of minimizers for the \(2d\) stationary Griffith fracture model. (Existence de déformations minimisant le modèle de Griffith des fractures \(2d\)-stationnaires.) Zbl 1351.49012
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
7
2016
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
7
2020
Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions. Zbl 1259.49018
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
6
2013
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019
Conti, Sergio; Ginster, Janusz; Rumpf, Martin
5
2015
Coarsening rates in off-critical mixtures. Zbl 1141.82010
Conti, Sergio; Niethammer, Barbara; Otto, Felix
5
2006
Soft elasticity and microstructure in smectic C elastomers. Zbl 1170.76303
Adams, James; Conti, Sergio; DeSimone, Antonio
5
2007
Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008
Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara
5
2017
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
4
2003
Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015
Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo
4
2004
Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030
Conti, Sergio; DeSimone, Antonio; Müller, Stefan
4
2005
A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034
Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M.
4
2015
Symmetry breaking in indented elastic cones. Zbl 1359.74263
Conti, Sergio; Olbermann, Heiner; Tobasco, Ian
4
2017
Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result. (Estimées de rigidité pour les champs incompatibles comme conséquence du résultat div-rot de Bourgain et Brezis.) Zbl 1464.49033
Conti, Sergio; Garroni, Adriana
4
2021
Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024
Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix
3
2006
Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074
Conti, Sergio; Schweizer, Ben
3
2006
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
3
2018
A branched transport limit of the Ginzburg-Landau functional. (Dérivation d’une fonctionnelle de type transport branché à partir du modèle de Ginzburg-Landau.) Zbl 1405.35201
Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia
3
2018
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems. Zbl 1432.35079
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
3
2019
Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064
Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio
3
2006
Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. Zbl 1459.49004
Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara
3
2020
A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007
Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael
2
2013
Variational modeling of slip: from crystal plasticity to geological strata. Zbl 1364.74023
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
2
2015
Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226
Conti, Sergio; Ortiz, Michael
2
2016
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
2
2012
Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060
Conti, Sergio; Dolzmann, Georg
2
2016
Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
2
2019
On scalar metrics that maximize geodesic distances in the plane. Zbl 1216.49037
Conti, Sergio; Schweizer, Ben
1
2011
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038
Albin, Nathan; Conti, Sergio; Nesi, Vincenzo
1
2007
Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010
Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario
1
2003
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
Analysis and computation of microstructure in finite plasticity. Zbl 1318.74003
1
2015
Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\). Zbl 1442.74004
Reina, Celia; Conti, Sergio
1
2017
Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061
Conti, Sergio; Dolzmann, Georg
1
2020
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145
Conti, Sergio; Dolzmann, Georg
1
2018
Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095
Conti, Sergio; Garroni, Adriana; Müller, Stefan
1
2017
Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result. (Estimées de rigidité pour les champs incompatibles comme conséquence du résultat div-rot de Bourgain et Brezis.) Zbl 1464.49033
Conti, Sergio; Garroni, Adriana
4
2021
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
7
2020
Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys. Zbl 1459.49004
Conti, Sergio; Diermeier, Johannes; Melching, David; Zwicknagl, Barbara
3
2020
Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061
Conti, Sergio; Dolzmann, Georg
1
2020
Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
19
2019
Approximation of functions with small jump sets and existence of strong minimizers of Griffith’s energy. Zbl 1419.49054
Chambolle, Antonin; Conti, Sergio; Iurlano, Flaviana
14
2019
A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems. Zbl 1432.35079
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
3
2019
Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
2
2019
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
22
2018
Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A.
20
2018
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
3
2018
A branched transport limit of the Ginzburg-Landau functional. (Dérivation d’une fonctionnelle de type transport branché à partir du modèle de Ginzburg-Landau.) Zbl 1405.35201
Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia
3
2018
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145
Conti, Sergio; Dolzmann, Georg
1
2018
Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
19
2017
Which special functions of bounded deformation have bounded variation? Zbl 1381.26017
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
18
2017
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
16
2017
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015
Conti, S.; Klar, M.; Zwicknagl, B.
8
2017
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
7
2017
Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008
Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara
5
2017
Symmetry breaking in indented elastic cones. Zbl 1359.74263
Conti, Sergio; Olbermann, Heiner; Tobasco, Ian
4
2017
Incompressible inelasticity as an essential ingredient for the validity of the kinematic decomposition \(\mathbf{F} = \mathbf{F}^{\mathrm{e}} \mathbf{F}^{\mathrm{i}}\). Zbl 1442.74004
Reina, Celia; Conti, Sergio
1
2017
Homogenization of vector-valued partition problems and dislocation cell structures in the plane. Zbl 1469.74095
Conti, Sergio; Garroni, Adriana; Müller, Stefan
1
2017
Phase field approximation of cohesive fracture models. Zbl 1345.49012
Conti, S.; Focardi, M.; Iurlano, F.
26
2016
Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles
24
2016
Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016
Conti, Sergio; Zwicknagl, Barbara
9
2016
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
9
2016
Existence of minimizers for the \(2d\) stationary Griffith fracture model. (Existence de déformations minimisant le modèle de Griffith des fractures \(2d\)-stationnaires.) Zbl 1351.49012
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
7
2016
Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226
Conti, Sergio; Ortiz, Michael
2
2016
Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060
Conti, Sergio; Dolzmann, Georg
2
2016
The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 1457.35079
Conti, Sergio; Garroni, Adriana; Ortiz, Michael
22
2015
On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010
Conti, Sergio; Dolzmann, Georg
20
2015
Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009
Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa
20
2015
Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030
Chan, Allan; Conti, Sergio
15
2015
A \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019
Conti, Sergio; Ginster, Janusz; Rumpf, Martin
5
2015
A micromechanical damage and fracture model for polymers based on fractional strain-gradient elasticity. Zbl 1349.74034
Heyden, S.; Li, B.; Weinberg, K.; Conti, S.; Ortiz, M.
4
2015
Variational modeling of slip: from crystal plasticity to geological strata. Zbl 1364.74023
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
2
2015
Analysis and computation of microstructure in finite plasticity. Zbl 1318.74003
1
2015
Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\). Zbl 1323.74018
Reina, C.; Conti, S.
27
2014
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
14
2014
Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373
Chan, Allan; Conti, Sergio
8
2014
Relaxation of a model energy for the cubic to tetragonal phase transformation in two dimensions. Zbl 1304.49027
Conti, Sergio; Dolzmann, Georg
7
2014
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
Relaxation of a model in finite plasticity with two slip systems. Zbl 1281.49006
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
22
2013
Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions. Zbl 1259.49018
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
6
2013
A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007
Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael
2
2013
\(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038
Conti, Sergio; De Lellis, Camillo; Székelyhidi, László
36
2012
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
2
2012
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
18
2011
The div-curl lemma for sequences whose divergence and curl are compact in \(W^{-1,1}\). Zbl 1235.46034
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
15
2011
Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
15
2011
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
14
2011
On scalar metrics that maximize geodesic distances in the plane. Zbl 1216.49037
Conti, Sergio; Schweizer, Ben
1
2011
Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013
Chermisi, Milena; Conti, Sergio
8
2010
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
25
2009
\(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038
Conti, Sergio; Dolzmann, Georg
16
2009
Relaxation of a class of variational models in crystal plasticity. Zbl 1186.74023
Conti, Sergio; Dolzmann, Georg; Klust, Carolin
14
2009
Infinite-order laminates in a model in crystal plasticity. Zbl 1167.74010
Albin, Nathan; Conti, Sergio; Dolzmann, Georg
10
2009
Confining thin elastic sheets and folding paper. Zbl 1127.74005
Conti, Sergio; Maggi, Francesco
36
2008
Ground state energy scaling laws during the onset and destruction of the intermediate state in a type I superconductor. Zbl 1142.82031
Choksi, Rustum; Conti, Sergio; Kohn, Robert V.; Otto, Felix
28
2008
Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369
Conti, S.; Ortiz, M.
19
2008
Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009
Conti, Sergio
17
2008
Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326
Carstensen, Carsten; Conti, Sergio; Orlando, Antonio
11
2008
Relaxation of some transversally isotropic energies and applications to smectic a elastomers. Zbl 1151.76373
Adams, James; Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg
8
2008
Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004
Conti, Sergio; De Lellis, Camillo
19
2007
Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd
12
2007
Concurrent multiscale computing of deformation microstructure by relaxation and local enrichment with application to single-crystal plasticity. Zbl 1135.74005
Conti, Sergio; Hauret, Patrice; Ortiz, Michael
11
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
11
2007
Derivation of a plate theory for incompressible materials. Zbl 1112.74037
Conti, Sergio; Dolzmann, Georg
7
2007
Soft elasticity and microstructure in smectic C elastomers. Zbl 1170.76303
Adams, James; Conti, Sergio; DeSimone, Antonio
5
2007
Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038
Albin, Nathan; Conti, Sergio; Nesi, Vincenzo
1
2007
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018
Conti, Sergio; Schweizer, Ben
45
2006
Sufficient conditions for the validity of the Cauchy-Born rule close to \(\mathrm{SO}(n)\). Zbl 1146.74006
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd; Müller, Stefan
21
2006
A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022
Conti, Sergio; Schweizer, Ben
13
2006
A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020
Conti, Sergio
12
2006
Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043
Conti, Sergio; Dolzmann, Georg
12
2006
A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735
Pandolfi, A.; Conti, S.; Ortiz, M.
7
2006
Coarsening rates in off-critical mixtures. Zbl 1141.82010
Conti, Sergio; Niethammer, Barbara; Otto, Felix
5
2006
Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024
Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix
3
2006
Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074
Conti, Sergio; Schweizer, Ben
3
2006
Relaxation and the computation of effective energies and microstructures in solid mechanics. Zbl 1366.74064
Bartels, Sören; Carstensen, Carsten; Conti, Sergio; Hackl, Klaus; Hoppe, Ulrich; Orlando, Antonio
3
2006
Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144
Conti, Sergio; Ortiz, Michael
53
2005
Single-slip elastoplastic microstructures. Zbl 1076.74017
Conti, Sergio; Theil, Florian
48
2005
A new approach to counterexamples to \(L^1\) estimates: Korn’s inequality, geometric rigidity, and regularity for gradients of separately convex functions. Zbl 1080.49026
Conti, Sergio; Faraco, Daniel; Maggi, Francesco
45
2005
Rank-one convex functions on \(2\times 2\) symmetric matrices and laminates on rank-three lines. Zbl 1135.26301
Conti, S.; Faraco, D.; Maggi, F.; Müller, S.
10
2005
Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030
Conti, Sergio; DeSimone, Antonio; Müller, Stefan
4
2005
Low-energy deformations of thin elastic plates: isometric embeddings and branching patterns. Zbl 1137.74004
Conti, Sergio
14
2004
A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039
Conti, Sergio; Zanzotto, Giovanni
8
2004
Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015
Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo
4
2004
Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004
Conti, Sergio; De Lellis, Camillo
32
2003
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
4
2003
Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\). Zbl 1050.49010
Conti, Sergio; De Lellis, Camillo; Müller, Stefan; Romeo, Mario
1
2003
Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006
Conti, S.; DeSimone, A.; Dolzmann, G.
37
2002
Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048
Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan
34
2002
A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni
32
2002
Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044
Conti, Sergio
45
2000
Rigourous bounds for the Föppl-von Kármán theory of isotropically compressed plates. Zbl 1015.74029
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S.
27
2000
all top 5

Cited by 782 Authors

73 Conti, Sergio
32 Ortiz, Michael
22 Müller, Stefan
20 Stefanelli, Ulisse
18 Garroni, Adriana
16 Dolzmann, Georg
14 DeSimone, Antonio
12 Friedrich, Manuel
12 Mielke, Alexander
11 Kohn, Robert Vita
11 Rüland, Angkana
11 Zwicknagl, Barbara Maria
10 Chambolle, Antonin
10 Kružík, Martin
10 Lewicka, Marta
10 Olbermann, Heiner
10 Otto, Felix
9 Crismale, Vito
9 Henao, Duvan A.
9 Iurlano, Flaviana
9 Mora-Corral, Carlos
9 Rumpf, Martin
9 Székelyhidi, László jun.
8 De Lellis, Camillo
8 Focardi, Matteo
8 Fonseca, Irene
8 Kreisbeck, Carolin
8 Mardare, Cristinel
8 Neff, Patrizio
7 Bella, Peter
7 Cesana, Pierluigi
7 Cicalese, Marco
7 Gmeineder, Franz
7 Palombaro, Mariapia
7 Stainier, Laurent
6 Ciarlet, Philippe Gaston
6 Della Porta, Francesco
6 Dondl, Patrick Werner
6 Goldman, Michael
6 Hornung, Peter
6 Knüpfer, Hans
6 Kochmann, Dennis M.
6 Lorent, Andrew
6 Poliakovsky, Arkady
6 Ponsiglione, Marcello
6 Rindler, Filip
5 Agostiniani, Virginia
5 Alicandro, Roberto
5 Bartels, Sören
5 Braides, Andrea
5 De Philippis, Guido
5 Ginster, Janusz
5 Hackl, Klaus
5 Hencl, Stanislav
5 Ignat, Radu
5 James, Richard D.
5 Kauranen, Aapo
5 Kirchheim, Bernd
5 Lazzaroni, Giuliano
5 Leoni, Giovanni
5 Malin, Maria
5 Malý, Jan
5 Merlet, Benoît
5 Osękowski, Adam
5 Reina, Celia
5 Scardia, Lucia
5 Schmidt, Bernd
5 Schultz, Rüdiger
5 Schweizer, Ben
5 Serfaty, Sylvia
5 Solombrino, Francesco
5 Wirth, Benedikt
5 Zillinger, Christian
4 Acharya, Amit
4 Benešová, Barbora
4 Bhattacharya, Kaushik
4 Dal Maso, Gianni
4 de Lorenzis, Laura
4 De Luca, Lucia
4 Diermeier, Johannes
4 Guo, Xu
4 Iwaniec, Tadeusz
4 Kristensen, Jan
4 Martínez-Frutos, Jesús
4 Mora, Maria Giovanna
4 Muratov, Cyrill B.
4 Oliva, Marcos
4 Onninen, Jani
4 Orlando, Gianluca
4 Pakzad, Mohammad Reza
4 Scala, Riccardo
4 Schlömerkemper, Anja
4 Spector, Scott J.
4 Tang, Shan
4 Van Goethem, Nicolas
4 Weinberg, Kerstin
4 Yang, Hang
4 Zeppieri, Caterina Ida
3 Akagi, Goro
3 Alouges, François
...and 682 more Authors
all top 5

Cited in 139 Serials

89 Archive for Rational Mechanics and Analysis
48 Computer Methods in Applied Mechanics and Engineering
44 Calculus of Variations and Partial Differential Equations
37 Journal of the Mechanics and Physics of Solids
29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
26 SIAM Journal on Mathematical Analysis
23 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 Journal of Nonlinear Science
19 Journal of Elasticity
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Continuum Mechanics and Thermodynamics
10 Journal of Functional Analysis
9 Communications on Pure and Applied Mathematics
8 Journal of Mathematical Analysis and Applications
8 Journal of the European Mathematical Society (JEMS)
8 Advances in Calculus of Variations
7 Mathematics and Mechanics of Solids
6 Communications in Mathematical Physics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Computational Mechanics
5 Nonlinearity
5 Journal of Differential Equations
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Discrete and Continuous Dynamical Systems. Series S
5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 International Journal for Numerical Methods in Engineering
4 Meccanica
4 Applied Mathematical Modelling
4 SIAM Journal on Optimization
4 Annals of Mathematics. Second Series
4 Analysis & PDE
3 Journal of Computational Physics
3 Journal of Statistical Physics
3 Quarterly of Applied Mathematics
3 SIAM Journal on Control and Optimization
3 Chinese Annals of Mathematics. Series B
3 Revista Matemática Iberoamericana
3 NoDEA. Nonlinear Differential Equations and Applications
3 Journal of Convex Analysis
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Communications in Contemporary Mathematics
3 Structural and Multidisciplinary Optimization
3 Oberwolfach Reports
3 GAMM-Mitteilungen
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Engineering Science
2 Journal d’Analyse Mathématique
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Advances in Mathematics
2 Indiana University Mathematics Journal
2 Journal of Optimization Theory and Applications
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Physica D
2 Acta Mathematicae Applicatae Sinica. English Series
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Japan Journal of Industrial and Applied Mathematics
2 Mathematical Programming. Series A. Series B
2 Discrete and Continuous Dynamical Systems
2 European Journal of Mechanics. A. Solids
2 Interfaces and Free Boundaries
2 Optimization and Engineering
2 Journal of Evolution Equations
2 Communications on Pure and Applied Analysis
2 Analysis and Applications (Singapore)
2 Set-Valued and Variational Analysis
2 Annals of PDE
1 Acta Mechanica
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 International Journal of Plasticity
1 International Journal of Solids and Structures
1 Israel Journal of Mathematics
1 Journal of Fluid Mechanics
1 Reviews of Modern Physics
1 Mathematics of Computation
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 SIAM Journal on Numerical Analysis
1 Tohoku Mathematical Journal. Second Series
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Asymptotic Analysis
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
...and 39 more Serials
all top 5

Cited in 43 Fields

449 Mechanics of deformable solids (74-XX)
241 Calculus of variations and optimal control; optimization (49-XX)
217 Partial differential equations (35-XX)
63 Statistical mechanics, structure of matter (82-XX)
50 Fluid mechanics (76-XX)
48 Real functions (26-XX)
45 Numerical analysis (65-XX)
41 Differential geometry (53-XX)
38 Functional analysis (46-XX)
20 Operations research, mathematical programming (90-XX)
15 Global analysis, analysis on manifolds (58-XX)
15 Probability theory and stochastic processes (60-XX)
12 Functions of a complex variable (30-XX)
12 Mechanics of particles and systems (70-XX)
11 Measure and integration (28-XX)
10 Computer science (68-XX)
10 Systems theory; control (93-XX)
9 Operator theory (47-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Optics, electromagnetic theory (78-XX)
8 Biology and other natural sciences (92-XX)
7 Information and communication theory, circuits (94-XX)
6 Statistics (62-XX)
5 General and overarching topics; collections (00-XX)
4 Ordinary differential equations (34-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Approximations and expansions (41-XX)
3 Convex and discrete geometry (52-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Quantum theory (81-XX)
3 Geophysics (86-XX)
2 History and biography (01-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
1 Nonassociative rings and algebras (17-XX)
1 Potential theory (31-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year