Edit Profile (opens in new tab) Friedrich, Manuel Co-Author Distance Author ID: friedrich.manuel Published as: Friedrich, Manuel Documents Indexed: 55 Publications since 2014, including 17 Additional arXiv Preprints Co-Authors: 25 Co-Authors with 48 Joint Publications 350 Co-Co-Authors all top 5 Co-Authors 7 single-authored 13 Stefanelli, Ulisse 7 Kreutz, Leonard C. 6 Solombrino, Francesco 5 Kružík, Martin 5 Schmidt, Bernd 3 Badal, Rufat 3 Davoli, Elisa 3 Machill, Lennart 3 Piovano, Paolo 3 Seitz, Manuel 3 Zemas, Konstantinos 2 Almi, Stefano 2 Bétermin, Laurent 2 Crismale, Vito 2 Górny, Wojciech 2 Labourie, Camille 2 Mainini, Edoardo 2 Perugini, Matteo 2 Seutter, Joscha 2 Stinson, Kerrek 1 Bresciani, Marco 1 Caponi, Maicol 1 Donnarumma, Antonio Flavio 1 Mora-Corral, Carlos 1 Valdman, Jan all top 5 Serials 8 Archive for Rational Mechanics and Analysis 3 Nonlinearity 3 Calculus of Variations and Partial Differential Equations 2 Journal of Statistical Physics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Milan Journal of Mathematics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Networks and Heterogeneous Media 1 Advances in Calculus of Variations 1 Mathematics in Engineering all top 5 Fields 33 Mechanics of deformable solids (74-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 16 Mechanics of particles and systems (70-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Partial differential equations (35-XX) 5 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 254 times in 115 Documents Cited by ▼ Year ▼ Quasistatic crack growth in 2d-linearized elasticity. Zbl 1386.74124 Friedrich, Manuel; Solombrino, Francesco 26 2018 A piecewise Korn inequality in SBD and applications to embedding and density results. Zbl 1391.74227 Friedrich, Manuel 24 2018 A Korn-type inequality in SBD for functions with small jump sets. Zbl 1386.74123 Friedrich, Manuel 18 2017 A derivation of linearized Griffith energies from nonlinear models. Zbl 1367.35169 Friedrich, Manuel 18 2017 An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem. Zbl 1302.74144 Friedrich, Manuel; Schmidt, Bernd 13 2014 Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Zbl 1434.82084 Friedrich, Manuel; Kreutz, Leonard 13 2020 On the passage from nonlinear to linearized viscoelasticity. Zbl 1393.74019 Friedrich, Manuel; Kružík, Martin 13 2018 Crystallization in the hexagonal lattice for ionic dimers. Zbl 1447.82032 Friedrich, Manuel; Kreutz, Leonard 12 2019 On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime. Zbl 1332.74044 Friedrich, Manuel; Schmidt, Bernd 11 2015 An analysis of crystal cleavage in the passage from atomistic models to continuum theory. Zbl 1329.82025 Friedrich, Manuel; Schmidt, Bernd 11 2015 Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions. Zbl 1432.74182 Davoli, Elisa; Friedrich, Manuel 11 2020 Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. Zbl 1457.49010 Crismale, Vito; Friedrich, Manuel 10 2020 A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems. Zbl 1418.49043 Friedrich, Manuel 9 2019 Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity. Zbl 1443.74222 Friedrich, Manuel; Kružík, Martin 8 2020 Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035 Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd 8 2021 Functionals defined on piecewise rigid functions: integral representation and \(\Gamma \)-convergence. Zbl 1436.49016 Friedrich, Manuel; Solombrino, Francesco 8 2020 Crystallization in a one-dimensional periodic landscape. Zbl 1437.82024 Friedrich, Manuel; Stefanelli, Ulisse 6 2020 The geometry of \(C_{60}\): a rigorous approach via molecular mechanics. Zbl 1353.82072 Friedrich, Manuel; Piovano, Paolo; Stefanelli, Ulisse 5 2016 Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\). Zbl 1456.49013 Friedrich, Manuel; Perugini, Matteo; Solombrino, Francesco 5 2021 Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials. Zbl 1506.74130 Friedrich, Manuel 4 2020 Integral representation for energies in linear elasticity with surface discontinuities. Zbl 1504.31013 Crismale, Vito; Friedrich, Manuel; Solombrino, Francesco 3 2022 Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. Zbl 1486.74093 Friedrich, Manuel; Machill, Lennart 3 2022 Lattice ground states for embedded-atom models in 2D and 3D. Zbl 1485.74004 Bétermin, Laurent; Friedrich, Manuel; Stefanelli, Ulisse 3 2021 Graphene ground states. Zbl 1393.82031 Friedrich, Manuel; Stefanelli, Ulisse 3 2018 Numerical approximation of von Kármán viscoelastic plates. Zbl 1455.74020 Friedrich, Manuel; Kružík, Martin; Valdman, Jan 3 2021 Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule. Zbl 1419.74056 Friedrich, Manuel; Mainini, Edoardo; Piovano, Paolo; Stefanelli, Ulisse 2 2019 Ripples in graphene: a variational approach. Zbl 1451.82062 Friedrich, Manuel; Stefanelli, Ulisse 1 2020 Nonlinear and linearized models in thermoviscoelasticity. Zbl 1512.74017 Badal, Rufat; Friedrich, Manuel; Kružík, Martin 1 2023 From atomistic systems to linearized continuum models for elastic materials with voids. Zbl 1506.74017 Friedrich, Manuel; Kreutz, Leonard; Zemas, Konstantinos 1 2023 Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture. Zbl 1523.74167 Almi, Stefano; Davoli, Elisa; Friedrich, Manuel 1 2023 Nonlinear and linearized models in thermoviscoelasticity. Zbl 1512.74017 Badal, Rufat; Friedrich, Manuel; Kružík, Martin 1 2023 From atomistic systems to linearized continuum models for elastic materials with voids. Zbl 1506.74017 Friedrich, Manuel; Kreutz, Leonard; Zemas, Konstantinos 1 2023 Non-interpenetration conditions in the passage from nonlinear to linearized Griffith fracture. Zbl 1523.74167 Almi, Stefano; Davoli, Elisa; Friedrich, Manuel 1 2023 Integral representation for energies in linear elasticity with surface discontinuities. Zbl 1504.31013 Crismale, Vito; Friedrich, Manuel; Solombrino, Francesco 3 2022 Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons. Zbl 1486.74093 Friedrich, Manuel; Machill, Lennart 3 2022 Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. Zbl 1462.74035 Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd 8 2021 Lower semicontinuity for functionals defined on piecewise rigid functions and on \(GSBD\). Zbl 1456.49013 Friedrich, Manuel; Perugini, Matteo; Solombrino, Francesco 5 2021 Lattice ground states for embedded-atom models in 2D and 3D. Zbl 1485.74004 Bétermin, Laurent; Friedrich, Manuel; Stefanelli, Ulisse 3 2021 Numerical approximation of von Kármán viscoelastic plates. Zbl 1455.74020 Friedrich, Manuel; Kružík, Martin; Valdman, Jan 3 2021 Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice. Zbl 1434.82084 Friedrich, Manuel; Kreutz, Leonard 13 2020 Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions. Zbl 1432.74182 Davoli, Elisa; Friedrich, Manuel 11 2020 Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity. Zbl 1457.49010 Crismale, Vito; Friedrich, Manuel 10 2020 Derivation of von Kármán plate theory in the framework of three-dimensional viscoelasticity. Zbl 1443.74222 Friedrich, Manuel; Kružík, Martin 8 2020 Functionals defined on piecewise rigid functions: integral representation and \(\Gamma \)-convergence. Zbl 1436.49016 Friedrich, Manuel; Solombrino, Francesco 8 2020 Crystallization in a one-dimensional periodic landscape. Zbl 1437.82024 Friedrich, Manuel; Stefanelli, Ulisse 6 2020 Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials. Zbl 1506.74130 Friedrich, Manuel 4 2020 Ripples in graphene: a variational approach. Zbl 1451.82062 Friedrich, Manuel; Stefanelli, Ulisse 1 2020 Crystallization in the hexagonal lattice for ionic dimers. Zbl 1447.82032 Friedrich, Manuel; Kreutz, Leonard 12 2019 A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems. Zbl 1418.49043 Friedrich, Manuel 9 2019 Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule. Zbl 1419.74056 Friedrich, Manuel; Mainini, Edoardo; Piovano, Paolo; Stefanelli, Ulisse 2 2019 Quasistatic crack growth in 2d-linearized elasticity. Zbl 1386.74124 Friedrich, Manuel; Solombrino, Francesco 26 2018 A piecewise Korn inequality in SBD and applications to embedding and density results. Zbl 1391.74227 Friedrich, Manuel 24 2018 On the passage from nonlinear to linearized viscoelasticity. Zbl 1393.74019 Friedrich, Manuel; Kružík, Martin 13 2018 Graphene ground states. Zbl 1393.82031 Friedrich, Manuel; Stefanelli, Ulisse 3 2018 A Korn-type inequality in SBD for functions with small jump sets. Zbl 1386.74123 Friedrich, Manuel 18 2017 A derivation of linearized Griffith energies from nonlinear models. Zbl 1367.35169 Friedrich, Manuel 18 2017 The geometry of \(C_{60}\): a rigorous approach via molecular mechanics. Zbl 1353.82072 Friedrich, Manuel; Piovano, Paolo; Stefanelli, Ulisse 5 2016 On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime. Zbl 1332.74044 Friedrich, Manuel; Schmidt, Bernd 11 2015 An analysis of crystal cleavage in the passage from atomistic models to continuum theory. Zbl 1329.82025 Friedrich, Manuel; Schmidt, Bernd 11 2015 An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem. Zbl 1302.74144 Friedrich, Manuel; Schmidt, Bernd 13 2014 all cited Publications top 5 cited Publications all top 5 Cited by 117 Authors 30 Friedrich, Manuel 12 Crismale, Vito 10 Chambolle, Antonin 9 Kreutz, Leonard C. 8 Bétermin, Laurent 8 Solombrino, Francesco 7 Kružík, Martin 7 Stefanelli, Ulisse 6 Schmidt, Bernd 5 Almi, Stefano 5 Scilla, Giovanni 4 Cicalese, Marco 4 Davoli, Elisa 4 De Luca, Lucia 4 Piovano, Paolo 4 Schlömerkemper, Anja 3 Bach, Annika 3 Caroccia, Marco 3 Conti, Sergio 3 Focardi, Matteo 3 Iurlano, Flaviana 3 Lazzaroni, Giuliano 3 Mainini, Edoardo 3 Ponsiglione, Marcello 3 Valdman, Jan 2 Cagnetti, Filippo 2 Knüpfer, Hans 2 Kreisbeck, Carolin 2 Lemenant, Antoine 2 Leonardi, Gian Paolo 2 Machill, Lennart 2 Mora, Maria Giovanna 2 Orlando, Gianluca 2 Pelech, Petr 2 Perugini, Matteo 2 Santilli, Mario 2 Scardia, Lucia 2 Schäffner, Mathias 2 Tasso, Emanuele 2 Zeppieri, Caterina Ida 1 Abels, Helmut 1 Alicandro, Roberto 1 Ameismeier, Tobias 1 Babadjian, Jean-François 1 Badal, Rufat 1 Benavides, Gonzalo A. 1 Benešová, Barbora 1 Bonacini, Marco 1 Braides, Andrea 1 Bronsard, Lia 1 Carioni, Marcello 1 Cristoferi, Riccardo 1 Dal Maso, Gianni 1 De Cicco, Virginia 1 De Philippis, Guido 1 Della Porta, Francesco 1 Domínguez-Rivera, Sebastián A. 1 Dondl, Patrick Werner 1 Engl, Dominik 1 Fanzon, Silvio 1 Farroni, Fernando 1 Faulhuber, Markus 1 Ferreira, Rita 1 Fischer, Julian 1 Fonseca, Irene 1 Francfort, Gilles A. 1 Freddi, Lorenzo 1 Gelli, Maria Stella 1 Horák, Martin 1 Hornung, Peter 1 Jesenko, Martin 1 König, Wolfgang Dieter 1 Krömer, Stefan 1 Labourie, Camille 1 Lauerbach, Laura 1 Leone, Chiara 1 Leoni, Giovanni 1 Lewintan, Peter 1 Lucardesi, Ilaria 1 Marziani, Roberta 1 Miękisz, Jacek 1 Mielke, Alexander 1 Moser, Roger 1 Müller, Stefan 1 Murakawa, Hideki 1 Neff, Patrizio 1 Neukamm, Stefan 1 Ninno, A. 1 Nolte, Florian 1 Palombaro, Mariapia 1 Paroni, Roberto 1 Petrache, Mircea 1 Reggiani, Dario 1 Rindler, Filip 1 Ritorto, Antonella 1 Riva, Filippo 1 Roubíček, Tomáš 1 Rüland, Angkana 1 Šamaj, Ladislav 1 Scala, Riccardo ...and 17 more Authors all top 5 Cited in 41 Serials 13 Archive for Rational Mechanics and Analysis 12 Calculus of Variations and Partial Differential Equations 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 SIAM Journal on Mathematical Analysis 6 Mathematics in Engineering 4 Communications in Mathematical Physics 4 Journal of Statistical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Nonlinear Science 4 Advances in Calculus of Variations 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Journal of Convex Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Multiscale Modeling & Simulation 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Physics A: Mathematical and Theoretical 2 Networks and Heterogeneous Media 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Studies in Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematical Modelling 1 SIAM Review 1 Journal of Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Discrete and Continuous Dynamical Systems. Series S 1 Bollettino dell’Unione Matematica Italiana 1 European Mathematical Society Magazine all top 5 Cited in 20 Fields 80 Mechanics of deformable solids (74-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 36 Partial differential equations (35-XX) 31 Statistical mechanics, structure of matter (82-XX) 15 Real functions (26-XX) 11 Mechanics of particles and systems (70-XX) 6 Functional analysis (46-XX) 4 Combinatorics (05-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Citations by Year