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Author ID: friedrich.manuel Recent zbMATH articles by "Friedrich, Manuel"
Published as: Friedrich, Manuel

Publications by Year

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 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

Citations by Year