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Conti, Sergio

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Author ID: conti.sergio Recent zbMATH articles by "Conti, Sergio"
Published as: Conti, S.; Conti, Sergio
Homepage: https://www.iam.uni-bonn.de/aaa2/people/sergio-conti/
External Links: MGP · ResearchGate · dblp
Documents Indexed: 110 Publications since 2000, including 2 Books
all top 5

Serials

18 Archive for Rational Mechanics and Analysis
9 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 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

97 Publications have been cited 1,149 times in 607 Documents Cited by Year
Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144
Conti, Sergio; Ortiz, Michael
46
2005
Single-slip elastoplastic microstructures. Zbl 1076.74017
Conti, Sergio; Theil, Florian
44
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
41
2005
Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044
Conti, Sergio
38
2000
Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018
Conti, Sergio; Schweizer, Ben
36
2006
Soft elastic response of stretched sheets of nematic elastomers: A numerical study. Zbl 1030.76006
Conti, S.; DeSimone, A.; Dolzmann, G.
35
2002
\(h\)-principle and rigidity for \(C^{1,\alpha}\) isometric embeddings. Zbl 1255.53038
Conti, Sergio; De Lellis, Camillo; Székelyhidi, László
32
2012
Confining thin elastic sheets and folding paper. Zbl 1127.74005
Conti, Sergio; Maggi, Francesco
32
2008
Energy scaling of compressed elastic films – three-dimensional elasticity and reduced theories. Zbl 1041.74048
Ben Belgacem, Hafedh; Conti, Sergio; DeSimone, Antonio; Müller, Stefan
32
2002
A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni
31
2002
Some remarks on the theory of elasticity for compressible Neohookean materials. Zbl 1114.74004
Conti, Sergio; De Lellis, Camillo
29
2003
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.
24
2014
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
22
2009
Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles
21
2016
Relaxation of a model in finite plasticity with two slip systems. Zbl 1281.49006
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
20
2013
Minimum principles for the trajectories of systems governed by rate problems. Zbl 1162.74369
Conti, S.; Ortiz, M.
19
2008
Phase field approximation of cohesive fracture models. Zbl 1345.49012
Conti, S.; Focardi, M.; Iurlano, F.
18
2016
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
18
2006
On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010
Conti, Sergio; Dolzmann, Georg
17
2015
Sharp upper bounds for a variational problem with singular perturbation. Zbl 1186.49004
Conti, Sergio; De Lellis, Camillo
17
2007
Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 07020603
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
16
2019
Integral representation for functionals defined on \(SBD^p\) in dimension two. Zbl 1398.49007
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
16
2017
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
15
2011
Quasiconvex functions incorporating volumetric constraints are rank-one convex. Zbl 1146.49009
Conti, Sergio
15
2008
Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A.
14
2018
Which special functions of bounded deformation have bounded variation? Zbl 1381.26017
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
14
2017
The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 06481056
Conti, Sergio; Garroni, Adriana; Ortiz, Michael
14
2015
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
14
2011
Relaxation of a class of variational models in crystal plasticity. Zbl 1186.74023
Conti, Sergio; Dolzmann, Georg; Klust, Carolin
14
2009
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
13
2018
Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009
Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa
13
2015
Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030
Chan, Allan; Conti, Sergio
13
2015
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
13
2014
Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity. Zbl 1233.35187
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
13
2011
A sharp-interface limit for a two-well problem in geometrically linear elasticity. Zbl 1083.74022
Conti, Sergio; Schweizer, Ben
13
2006
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
12
2017
\(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038
Conti, Sergio; Dolzmann, Georg
12
2009
A lower bound for a variational model for pattern formation in shape-memory alloys. Zbl 1113.74020
Conti, Sergio
12
2006
Low-energy deformations of thin elastic plates: isometric embeddings and branching patterns. Zbl 1137.74004
Conti, Sergio
12
2004
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
11
2019
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
11
2011
Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326
Carstensen, Carsten; Conti, Sergio; Orlando, Antonio
10
2008
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
10
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
10
2007
Derivation of elastic theories for thin sheets and the constraint of incompressibility. Zbl 1366.74043
Conti, Sergio; Dolzmann, Georg
10
2006
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
9
2009
Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd
9
2007
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
8
2016
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
Existence of minimizers for the \(2d\) stationary Griffith fracture model. Zbl 1351.49012
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
7
2016
Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016
Conti, Sergio; Zwicknagl, Barbara
7
2016
Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373
Chan, Allan; Conti, Sergio
7
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
Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013
Chermisi, Milena; Conti, Sergio
7
2010
Derivation of a plate theory for incompressible materials. Zbl 1112.74037
Conti, Sergio; Dolzmann, Georg
7
2007
A recursive-faulting model of distributed damage in confined brittle materials. Zbl 1120.74735
Pandolfi, A.; Conti, S.; Ortiz, M.
7
2006
A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039
Conti, Sergio; Zanzotto, Giovanni
7
2004
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015
Conti, S.; Klar, M.; Zwicknagl, B.
6
2017
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
6
2017
Optimal scaling in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
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 \(BV\) functional and its relaxation for joint motion estimation and image sequence recovery. Zbl 1326.49019
Conti, Sergio; Ginster, Janusz; Rumpf, Martin
5
2015
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
5
2014
Coarsening rates in off-critical mixtures. Zbl 1141.82010
Conti, Sergio; Niethammer, Barbara; Otto, Felix
5
2006
Symmetry breaking in indented elastic cones. Zbl 1359.74263
Conti, Sergio; Olbermann, Heiner; Tobasco, Ian
4
2017
Soft elasticity and microstructure in smectic C elastomers. Zbl 1170.76303
Adams, James; Conti, Sergio; DeSimone, Antonio
4
2007
Self-similar folding patterns and energy scaling in compressed elastic sheets. Zbl 1082.74030
Conti, Sergio; DeSimone, Antonio; Müller, Stefan
4
2005
Energetics and switching of quasi-uniform states in small ferromagnetic particles. Zbl 1085.82015
Alouges, François; Conti, Sergio; DeSimone, Antonio; Pokern, Yvo
4
2004
Multiscale modeling of materials – the role of analysis. Zbl 1065.74056
Conti, Sergio; DeSimone, Antonio; Dolzmann, Georg; Müller, Stefan; Otto, Felix
4
2003
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
A branched transport limit of the Ginzburg-Landau functional. Zbl 1405.35201
Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia
3
2018
Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008
Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara
3
2017
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.
3
2015
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
Nonuniversality in low-volume-fraction Ostwald ripening. Zbl 1101.82024
Conti, Sergio; Hönig, Andreas; Niethammer, Barbara; Otto, Felix
3
2006
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
2
2018
Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060
Conti, Sergio; Dolzmann, Georg
2
2016
Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226
Conti, Sergio; Ortiz, Michael
2
2016
Variational modeling of slip: from crystal plasticity to geological strata. Zbl 1364.74023
Conti, Sergio; Dolzmann, Georg; Kreisbeck, Carolin
2
2015
A \(\Gamma\)-convergence analysis of the quasicontinuum method. Zbl 1355.70007
Espanõl, Malena I.; Kochmann, Dennis M.; Conti, Sergio; Ortiz, Michael
2
2013
Gamma convergence for phase transitions in impenetrable elastic materials. Zbl 1383.74074
Conti, Sergio; Schweizer, Ben
2
2006
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
1
2020
Numerical study of microstructures in single-slip finite elastoplasticity. Zbl 1433.49061
Conti, Sergio; Dolzmann, Georg
1
2020
Approximation of fracture energies with \(p\)-growth via piecewise affine finite elements. Zbl 1437.65182
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
1
2019
An adaptive relaxation algorithm for multiscale problems and application to nematic elastomers. Zbl 1441.74145
Conti, Sergio; Dolzmann, Georg
1
2018
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 06722635
Conti, Sergio; Garroni, Adriana; Müller, Stefan
1
2017
Some recent results on the convergence of damage to fracture. Zbl 1336.49016
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
1
2016
Analysis and computation of microstructure in finite plasticity. Zbl 1318.74003
Conti, Sergio (ed.); Hackl, Klaus (ed.)
1
2015
Two-stage stochastic optimization meets two-scale simulation. Zbl 1327.49071
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger
1
2014
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
1
2012
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
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
Data-driven finite elasticity. Zbl 1437.35654
Conti, S.; Müller, S.; Ortiz, M.
1
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 07020603
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
16
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
11
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
1
2019
Approximation of a brittle fracture energy with a constraint of non-interpenetration. Zbl 1391.35366
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A.
14
2018
Data-driven problems in elasticity. Zbl 1402.35276
Conti, S.; Müller, S.; Ortiz, M.
13
2018
A branched transport limit of the Ginzburg-Landau functional. Zbl 1405.35201
Conti, Sergio; Goldman, Michael; Otto, Felix; Serfaty, Sylvia
3
2018
Stochastic dominance constraints in elastic shape optimization. Zbl 1417.35214
Conti, Sergio; Rumpf, Martin; Schultz, Rüdiger; Tölkes, Sascha
2
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
16
2017
Which special functions of bounded deformation have bounded variation? Zbl 1381.26017
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
14
2017
Density of polyhedral partitions. Zbl 1366.49051
Braides, Andrea; Conti, Sergio; Garroni, Adriana
12
2017
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity. Zbl 1404.74015
Conti, S.; Klar, M.; Zwicknagl, B.
6
2017
Energy bounds for a compressed elastic film on a substrate. Zbl 1387.74069
Bourne, David P.; Conti, Sergio; Müller, Stefan
6
2017
Symmetry breaking in indented elastic cones. Zbl 1359.74263
Conti, Sergio; Olbermann, Heiner; Tobasco, Ian
4
2017
Deformation concentration for martensitic microstructures in the limit of low volume fraction. Zbl 1362.49008
Conti, Sergio; Diermeier, Johannes; Zwicknagl, Barbara
3
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 06722635
Conti, Sergio; Garroni, Adriana; Müller, Stefan
1
2017
Korn-Poincarè inequalities for functions with a small jump set. Zbl 1357.49151
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles
21
2016
Phase field approximation of cohesive fracture models. Zbl 1345.49012
Conti, S.; Focardi, M.; Iurlano, F.
18
2016
Branched microstructures in the Ginzburg-Landau model of type-I superconductors. Zbl 1351.82116
Conti, Sergio; Otto, Felix; Serfaty, Sylvia
8
2016
Existence of minimizers for the \(2d\) stationary Griffith fracture model. Zbl 1351.49012
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
7
2016
Low volume-fraction microstructures in martensites and crystal plasticity. Zbl 1347.49016
Conti, Sergio; Zwicknagl, Barbara
7
2016
Relaxation in crystal plasticity with three active slip systems. Zbl 1355.74060
Conti, Sergio; Dolzmann, Georg
2
2016
Optimal scaling in solids undergoing ductile fracture by crazing. Zbl 1343.35226
Conti, Sergio; Ortiz, Michael
2
2016
Some recent results on the convergence of damage to fracture. Zbl 1336.49016
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
1
2016
On the theory of relaxation in nonlinear elasticity with constraints on the determinant. Zbl 1323.49010
Conti, Sergio; Dolzmann, Georg
17
2015
The line-tension approximation as the dilute limit of linear-elastic dislocations. Zbl 06481056
Conti, Sergio; Garroni, Adriana; Ortiz, Michael
14
2015
Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity. Zbl 1328.49009
Conti, Sergio; Garroni, Adriana; Massaccesi, Annalisa
13
2015
Energy scaling and branched microstructures in a model for shape-memory alloys with SO(2) invariance. Zbl 1311.49030
Chan, Allan; Conti, Sergio
13
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.
3
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
Conti, Sergio (ed.); Hackl, Klaus (ed.)
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.
24
2014
Korn’s second inequality and geometric rigidity with mixed growth conditions. Zbl 1295.35369
Conti, Sergio; Dolzmann, Georg; Müller, Stefan
13
2014
Energy scaling and domain branching in solid-solid phase transitions. Zbl 1326.35373
Chan, Allan; Conti, Sergio
7
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 in solids undergoing ductile fracture by void sheet formation. Zbl 1294.35161
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
6
2014
Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity. Zbl 1323.74074
Fokoua, Landry; Conti, Sergio; Ortiz, Michael
5
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
20
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
32
2012
On shape optimization with stochastic loadings. Zbl 1356.93094
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
1
2012
Singular kernels, multiscale decomposition of microstructure, and dislocation models. Zbl 1251.74006
Conti, Sergio; Garroni, Adriana; Müller, Stefan
15
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
14
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
13
2011
Risk averse shape optimization. Zbl 1230.49039
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
11
2011
Multiwell rigidity in nonlinear elasticity. Zbl 1254.74013
Chermisi, Milena; Conti, Sergio
7
2010
Shape optimization under uncertainty\(- \)a stochastic programming perspective. Zbl 1176.49045
Conti, Sergio; Held, Harald; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger
22
2009
Relaxation of a class of variational models in crystal plasticity. Zbl 1186.74023
Conti, Sergio; Dolzmann, Georg; Klust, Carolin
14
2009
\(\Gamma \)-convergence for incompressible elastic plates. Zbl 1161.74038
Conti, Sergio; Dolzmann, Georg
12
2009
Infinite-order laminates in a model in crystal plasticity. Zbl 1167.74010
Albin, Nathan; Conti, Sergio; Dolzmann, Georg
9
2009
Confining thin elastic sheets and folding paper. Zbl 1127.74005
Conti, Sergio; Maggi, Francesco
32
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
15
2008
Mixed analytical-numerical relaxation in finite single-slip crystal plasticity. Zbl 1160.74326
Carstensen, Carsten; Conti, Sergio; Orlando, Antonio
10
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
17
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
10
2007
Rigorous derivation of Föppl’s theory for clamped elastic membranes leads to relaxation. Zbl 1146.74025
Conti, Sergio; Maggi, Francesco; Müller, Stefan
10
2007
Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions. Zbl 1131.74037
Conti, Sergio; Dolzmann, Georg; Kirchheim, Bernd
9
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
4
2007
Modeling and simulation of magnetic-shape-memory polymer composites. Zbl 1171.74014
Conti, S.; Lenz, M.; Rumpf, M.
1
2007
Improved bounds for composites and rigidity of gradient fields. Zbl 1129.74038
Albin, Nathan; Conti, Sergio; Nesi, Vincenzo
1
2007
Rigidity and Gamma convergence for solid-solid phase transitions with \(\text{SO}(2)\) invariance. Zbl 1146.74018
Conti, Sergio; Schweizer, Ben
36
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
18
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
10
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
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
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
2
2006
Dislocation microstructures and the effective behavior of single crystals. Zbl 1064.74144
Conti, Sergio; Ortiz, Michael
46
2005
Single-slip elastoplastic microstructures. Zbl 1076.74017
Conti, Sergio; Theil, Florian
44
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
41
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
12
2004
A variational model for reconstructive phase transformations in crystals, and their relation to dislocations and plasticity. Zbl 1083.74039
Conti, Sergio; Zanzotto, Giovanni
7
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
29
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.
35
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
32
2002
A \(\Gamma\)-convergence result for the two-gradient theory of phase transitions. Zbl 1029.49040
Conti, Sergio; Fonseca, Irene; Leoni, Giovanni
31
2002
Branched microstructures: Scaling and asymptotic self-similarity. Zbl 1032.74044
Conti, Sergio
38
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 678 Authors

68 Conti, Sergio
23 Ortiz, Michael
21 Müller, Stefan
20 Stefanelli, Ulisse
16 Dolzmann, Georg
13 DeSimone, Antonio
13 Garroni, Adriana
12 Mielke, Alexander
11 Friedrich, Manuel
11 Kohn, Robert Vita
10 Lewicka, Marta , Wang, Dehua
10 Olbermann, Heiner
10 Zwicknagl, Barbara Maria
9 Kružík, Martin
9 Otto, Felix
9 Rüland, Angkana
9 Rumpf, Martin
8 Chambolle, Antonin
8 Crismale, Vito
8 De Lellis, Camillo
8 Henao, Duvan A.
8 Iurlano, Flaviana
8 Mora-Corral, Carlos
8 Székelyhidi, László jun.
7 Bella, Peter
7 Focardi, Matteo
7 Fonseca, Irene
7 Mardare, Cristinel
6 Cesana, Pierluigi
6 Ciarlet, Philippe Gaston
6 Goldman, Michael
6 Hornung, Peter
6 Knüpfer, Hans
6 Kochmann, Dennis M.
6 Lorent, Andrew
6 Palombaro, Mariapia
6 Poliakovsky, Arkady
5 Agostiniani, Virginia
5 Bartels, Sören
5 Cicalese, Marco
5 Della Porta, Francesco
5 Dondl, Patrick Werner
5 Gmeineder, Franz
5 Hackl, Klaus
5 Ignat, Radu
5 James, Richard D.
5 Kirchheim, Bernd
5 Kreisbeck, Carolin
5 Leoni, Giovanni
5 Merlet, Benoît
5 Neff, Patrizio
5 Osękowski, Adam
5 Ponsiglione, Marcello
5 Schultz, Rüdiger
5 Schweizer, Ben
5 Serfaty, Sylvia
5 Solombrino, Francesco
5 Wirth, Benedikt
4 Benešová, Barbora
4 Bhattacharya, Kaushik
4 Braides, Andrea
4 Dal Maso, Gianni
4 De Philippis, Guido
4 Hencl, Stanislav
4 Iwaniec, Tadeusz
4 Kauranen, Aapo
4 Kristensen, Jan
4 Lazzaroni, Giuliano
4 Malin, Maria
4 Malý, Jan
4 Mora, Maria Giovanna
4 Muratov, Cyrill B.
4 Onninen, Jani
4 Pakzad, Mohammad Reza
4 Rindler, Filip
4 Scardia, Lucia
4 Van Goethem, Nicolas
4 Zillinger, Christian
3 Acharya, Amit
3 Akagi, Goro
3 Alicandro, Roberto
3 Alouges, François
3 Anguige, Keith
3 Carstensen, Carsten
3 Chen, Gui-Qiang G.
3 Cianchi, Andrea
3 Dapogny, Charles
3 De Luca, Lucia
3 Diermeier, Johannes
3 E, Weinan
3 Faraco, Daniel
3 Forest, Samuel
3 Friesecke, Gero
3 Geihe, Benedict
3 Ginster, Janusz
3 Guo, Xu
3 Harutyunyan, Davit
3 Isett, Philip
3 Kessler, Mathieu
3 Lenz, Martin
...and 578 more Authors
all top 5

Cited in 131 Serials

79 Archive for Rational Mechanics and Analysis
42 Calculus of Variations and Partial Differential Equations
32 Computer Methods in Applied Mechanics and Engineering
29 Journal of the Mechanics and Physics of Solids
27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
22 SIAM Journal on Mathematical Analysis
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Journal of Elasticity
15 Journal of Nonlinear Science
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Continuum Mechanics and Thermodynamics
9 Communications on Pure and Applied Mathematics
9 Journal of Functional Analysis
7 Journal of Mathematical Analysis and Applications
7 Journal of the European Mathematical Society (JEMS)
6 Communications in Mathematical Physics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Mathematics and Mechanics of Solids
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Journal of Differential Equations
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 Advances in Calculus of Variations
4 International Journal for Numerical Methods in Engineering
4 Meccanica
4 Annals of Mathematics. Second Series
4 Analysis & PDE
3 Journal of Computational Physics
3 Journal of Statistical Physics
3 Nonlinearity
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Quarterly of Applied Mathematics
3 SIAM Journal on Control and Optimization
3 Chinese Annals of Mathematics. Series B
3 Computational Mechanics
3 Applied Mathematical Modelling
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Optimization
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 GAMM-Mitteilungen
3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Advances in Mathematics
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 Acta Mathematicae Applicatae Sinica. English Series
2 Revista Matemática Iberoamericana
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Mathematical Programming. Series A. Series B
2 NoDEA. Nonlinear Differential Equations and Applications
2 Discrete and Continuous Dynamical Systems
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 Oberwolfach Reports
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 International Journal of Engineering Science
1 International Journal of Plasticity
1 International Journal of Solids and Structures
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Reviews of Modern Physics
1 Mathematics of Computation
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Computational and Applied Mathematics
1 Kybernetika
1 Mathematische Annalen
1 SIAM Journal on Numerical Analysis
1 Tohoku Mathematical Journal. Second Series
1 Zeitschrift für Analysis und ihre Anwendungen
1 Physica D
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 Japan Journal of Industrial and Applied Mathematics
1 Differential Geometry and its Applications
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Journal of Mathematical Imaging and Vision
1 Bulletin des Sciences Mathématiques
1 Doklady Mathematics
...and 31 more Serials
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Cited in 42 Fields

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

Citations by Year