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Author ID: paroni.roberto Recent zbMATH articles by "Paroni, Roberto"
Published as: Paroni, Roberto; Paroni, R.

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 407 times in 226 Documents Cited by Year
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
23
2006
A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
22
2007
The Reissner-Mindlin plate theory via \(\Gamma\)-convergence. Zbl 1102.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
21
2006
Second-order structured deformations. Zbl 0990.74004
Owen, David R.; Paroni, Roberto
17
2000
A corrected Sadowsky functional for inextensible elastic ribbons. Zbl 1335.49025
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
17
2016
The equations of motion of a plate with residual stress. Zbl 1158.74413
Paroni, Roberto
16
2006
Thin-walled beams: the case of the rectangular cross-section. Zbl 1060.74034
Freddi, Lorenzo; Morassi, Antonino; Paroni, Roberto
15
2004
A variational justification of linear elasticity with residual stress. Zbl 1188.74009
Paroni, Roberto; Tomassetti, Giuseppe
14
2009
Nonlinear thin-walled beams with a rectangular cross-section. I. Zbl 1242.74047
Freddi, Lorenzo; Mora, Maria Giovanna; Paroni, Roberto
14
2012
A variational model for anisotropic and naturally twisted ribbons. Zbl 1352.49010
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
14
2016
A simple model for phase transitions: From the discrete to the continuum problem. Zbl 1068.74050
Pagano, S.; Paroni, R.
14
2003
Thin-walled beams: A derivation of Vlassov theory via \(\Gamma\)-convergence. Zbl 1107.74029
Freddi, Lorenzo; Morassi, Antonino; Paroni, Roberto
13
2007
Dimension reduction of a crack evolution problem in a linearly elastic plate. Zbl 1219.35306
Freddi, Lorenzo; Paroni, Roberto; Zanini, Chiara
12
2010
Constitutive equations of elastic polycrystalline materials. Zbl 0958.74014
Paroni, Roberto; Man, Chi-Sing
11
1999
Nonlinear thin-walled beams with a rectangular cross-section. II. Zbl 1262.74024
Freddi, Lorenzo; Mora, Maria Giovanna; Paroni, Roberto
11
2013
The energy density of martensitic thin films via dimension reduction. Zbl 1072.35185
Freddi, Lorenzo; Paroni, Roberto
10
2004
From non linear elasticity to linear elasticity with initial stress via \(\Gamma\)-convergence. Zbl 1272.74046
Paroni, Roberto; Tomassetti, Giuseppe
10
2011
Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers. Zbl 1332.35029
Paroni, Roberto; Sili, Ali
9
2016
Homogenization of polycrystalline aggregates. Zbl 0989.74059
Paroni, Roberto
8
2000
One-dimensional von Kármán models for elastic ribbons. Zbl 1384.49041
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
8
2018
Anisotropic inhomogeneous rectangular thin-walled beams. Zbl 1170.49014
Freddi, Lorenzo; Murat, François; Paroni, Roberto
8
2009
On the separation of stress-induced and texture-induced birefringence in acoustoelasticity. Zbl 0969.74018
Man, Chi-Sing; Paroni, Roberto
8
1996
On Korn’s constant for thin cylindrical domains. Zbl 1353.74013
Paroni, Roberto; Tomassetti, Giuseppe
8
2014
Optimal flux densities for linear mappings and the multiscale geometry of structured deformations. Zbl 1330.49049
Owen, David R.; Paroni, Roberto
8
2015
An asymptotic approach to the torsion problem in thin rectangular domains. Zbl 1163.74475
Davini, Cesare; Paroni, Roberto; Puntel, Eric
7
2008
Quasistatic delamination models for Kirchhoff-Love plates. Zbl 1280.74032
Freddi, L.; Paroni, R.; Roubíček, T.; Zanini, C.
6
2011
On the geometric autocorrelation function of polycrystalline materials. Zbl 1120.82013
Man, Chi-Sing; Paroni, Roberto; Xiang, Yu; Kenik, Edward A.
6
2006
Two micromechanical models in acoustoelasticity: A comparative study. Zbl 0998.74008
Paroni, Roberto; Man, Chi-Sing
6
2000
Optimal bounds on texture coefficients. Zbl 0976.74014
Paroni, Roberto
6
2000
On Hessian matrices in the space \(BH\). Zbl 1102.49021
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
6
2005
On variational dimension reduction in structure mechanics. Zbl 1305.74016
Paroni, Roberto; Podio-Guidugli, Paolo
6
2015
Asymptotically exact Korn’s constant for thin cylindrical domains. Zbl 1369.35091
Paroni, Roberto; Tomassetti, Giuseppe
6
2012
Generalized Hessian and external approximations in variational problems of second order. Zbl 1049.65116
Davini, Cesare; Paroni, Roberto
5
2003
Saint-Venant’s theory for beams with multi-connected cross-section: justification and error estimate. Zbl 1370.74087
Freddi, Lorenzo; Murat, François; Paroni, Roberto
4
2010
A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006
Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto
4
2002
On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
4
2003
Macroscopic and microscopic behavior of narrow elastic ribbons. Zbl 1415.74034
Paroni, Roberto; Tomassetti, Giuseppe
4
2019
An asymptotic approach to the torsion problem in thin walled beams. Zbl 1159.74370
Davini, Cesare; Paroni, Roberto; Puntel, Eric
3
2008
A 3D-1D Young measure theory of an elastic string. Zbl 1065.49010
Freddi, Lorenzo; Paroni, Roberto
3
2004
On the nonlocal curvatures of surfaces with or without boundary. Zbl 1386.35451
Paroni, Roberto; Podio-Guidugli, Paolo; Seguin, Brian
3
2018
A justification of the Timoshenko beam model through \(\Gamma\)-convergence. Zbl 1356.74104
Falach, Lior; Paroni, Roberto; Podio-Guidugli, Paolo
3
2017
From discrete to continuum: A Young measure approach. Zbl 1088.74008
Paroni, Roberto
3
2003
No-tension bodies: a reinforcement problem. Zbl 1348.74038
De Faveri, Sara; Freddi, Lorenzo; Paroni, Roberto
2
2013
Buckling of residually stressed plates: an asymptotic approach. Zbl 1330.74069
Paroni, Roberto; Tomassetti, Giuseppe
2
2015
An existence theorem for inextensible nets with slack. Zbl 07278873
Paroni, Roberto
2
2012
External approximation of first order variational problems via \(W^{-1, p}\) estimates. Zbl 1154.65054
Davini, Cesare; Paroni, Roberto
1
2008
Linear models for composite thin-walled beams by \(\Gamma\)-convergence. I: Open cross sections. Zbl 1306.74027
Davini, C.; Freddi, L.; Paroni, R.
1
2014
Linear models for composite thin-walled beams by \(\Gamma\)-convergence. II: Closed cross-sections. Zbl 1305.74049
Davini, C.; Freddi, L.; Paroni, R.
1
2014
Second-order structured deformations in the space of functions of bounded Hessian. Zbl 1437.49028
Fonseca, Irene; Hagerty, Adrian; Paroni, Roberto
1
2019
Stability of boundary conditions for the Sadowsky functional. Zbl 1497.49017
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
1
2022
Stability of boundary conditions for the Sadowsky functional. Zbl 1497.49017
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
1
2022
Macroscopic and microscopic behavior of narrow elastic ribbons. Zbl 1415.74034
Paroni, Roberto; Tomassetti, Giuseppe
4
2019
Second-order structured deformations in the space of functions of bounded Hessian. Zbl 1437.49028
Fonseca, Irene; Hagerty, Adrian; Paroni, Roberto
1
2019
One-dimensional von Kármán models for elastic ribbons. Zbl 1384.49041
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
8
2018
On the nonlocal curvatures of surfaces with or without boundary. Zbl 1386.35451
Paroni, Roberto; Podio-Guidugli, Paolo; Seguin, Brian
3
2018
A justification of the Timoshenko beam model through \(\Gamma\)-convergence. Zbl 1356.74104
Falach, Lior; Paroni, Roberto; Podio-Guidugli, Paolo
3
2017
A corrected Sadowsky functional for inextensible elastic ribbons. Zbl 1335.49025
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
17
2016
A variational model for anisotropic and naturally twisted ribbons. Zbl 1352.49010
Freddi, Lorenzo; Hornung, Peter; Mora, Maria Giovanna; Paroni, Roberto
14
2016
Non-local effects by homogenization or 3D-1D dimension reduction in elastic materials reinforced by stiff fibers. Zbl 1332.35029
Paroni, Roberto; Sili, Ali
9
2016
Optimal flux densities for linear mappings and the multiscale geometry of structured deformations. Zbl 1330.49049
Owen, David R.; Paroni, Roberto
8
2015
On variational dimension reduction in structure mechanics. Zbl 1305.74016
Paroni, Roberto; Podio-Guidugli, Paolo
6
2015
Buckling of residually stressed plates: an asymptotic approach. Zbl 1330.74069
Paroni, Roberto; Tomassetti, Giuseppe
2
2015
On Korn’s constant for thin cylindrical domains. Zbl 1353.74013
Paroni, Roberto; Tomassetti, Giuseppe
8
2014
Linear models for composite thin-walled beams by \(\Gamma\)-convergence. I: Open cross sections. Zbl 1306.74027
Davini, C.; Freddi, L.; Paroni, R.
1
2014
Linear models for composite thin-walled beams by \(\Gamma\)-convergence. II: Closed cross-sections. Zbl 1305.74049
Davini, C.; Freddi, L.; Paroni, R.
1
2014
Nonlinear thin-walled beams with a rectangular cross-section. II. Zbl 1262.74024
Freddi, Lorenzo; Mora, Maria Giovanna; Paroni, Roberto
11
2013
No-tension bodies: a reinforcement problem. Zbl 1348.74038
De Faveri, Sara; Freddi, Lorenzo; Paroni, Roberto
2
2013
Nonlinear thin-walled beams with a rectangular cross-section. I. Zbl 1242.74047
Freddi, Lorenzo; Mora, Maria Giovanna; Paroni, Roberto
14
2012
Asymptotically exact Korn’s constant for thin cylindrical domains. Zbl 1369.35091
Paroni, Roberto; Tomassetti, Giuseppe
6
2012
An existence theorem for inextensible nets with slack. Zbl 07278873
Paroni, Roberto
2
2012
From non linear elasticity to linear elasticity with initial stress via \(\Gamma\)-convergence. Zbl 1272.74046
Paroni, Roberto; Tomassetti, Giuseppe
10
2011
Quasistatic delamination models for Kirchhoff-Love plates. Zbl 1280.74032
Freddi, L.; Paroni, R.; Roubíček, T.; Zanini, C.
6
2011
Dimension reduction of a crack evolution problem in a linearly elastic plate. Zbl 1219.35306
Freddi, Lorenzo; Paroni, Roberto; Zanini, Chiara
12
2010
Saint-Venant’s theory for beams with multi-connected cross-section: justification and error estimate. Zbl 1370.74087
Freddi, Lorenzo; Murat, François; Paroni, Roberto
4
2010
A variational justification of linear elasticity with residual stress. Zbl 1188.74009
Paroni, Roberto; Tomassetti, Giuseppe
14
2009
Anisotropic inhomogeneous rectangular thin-walled beams. Zbl 1170.49014
Freddi, Lorenzo; Murat, François; Paroni, Roberto
8
2009
An asymptotic approach to the torsion problem in thin rectangular domains. Zbl 1163.74475
Davini, Cesare; Paroni, Roberto; Puntel, Eric
7
2008
An asymptotic approach to the torsion problem in thin walled beams. Zbl 1159.74370
Davini, Cesare; Paroni, Roberto; Puntel, Eric
3
2008
External approximation of first order variational problems via \(W^{-1, p}\) estimates. Zbl 1154.65054
Davini, Cesare; Paroni, Roberto
1
2008
A justification of the Reissner-Mindlin plate theory through variational convergence. Zbl 1109.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
22
2007
Thin-walled beams: A derivation of Vlassov theory via \(\Gamma\)-convergence. Zbl 1107.74029
Freddi, Lorenzo; Morassi, Antonino; Paroni, Roberto
13
2007
Theory of linearly elastic residually stressed plates. Zbl 1093.74039
Paroni, Roberto
23
2006
The Reissner-Mindlin plate theory via \(\Gamma\)-convergence. Zbl 1102.74031
Paroni, Roberto; Podio-Guidugli, Paolo; Tomassetti, Giuseppe
21
2006
The equations of motion of a plate with residual stress. Zbl 1158.74413
Paroni, Roberto
16
2006
On the geometric autocorrelation function of polycrystalline materials. Zbl 1120.82013
Man, Chi-Sing; Paroni, Roberto; Xiang, Yu; Kenik, Edward A.
6
2006
On Hessian matrices in the space \(BH\). Zbl 1102.49021
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
6
2005
Thin-walled beams: the case of the rectangular cross-section. Zbl 1060.74034
Freddi, Lorenzo; Morassi, Antonino; Paroni, Roberto
15
2004
The energy density of martensitic thin films via dimension reduction. Zbl 1072.35185
Freddi, Lorenzo; Paroni, Roberto
10
2004
A 3D-1D Young measure theory of an elastic string. Zbl 1065.49010
Freddi, Lorenzo; Paroni, Roberto
3
2004
A simple model for phase transitions: From the discrete to the continuum problem. Zbl 1068.74050
Pagano, S.; Paroni, R.
14
2003
Generalized Hessian and external approximations in variational problems of second order. Zbl 1049.65116
Davini, Cesare; Paroni, Roberto
5
2003
On lower semicontinuity in \(BH^p\) and 2-quasiconvexification. Zbl 1040.49017
Fonseca, Irene; Leoni, Giovanni; Paroni, Roberto
4
2003
From discrete to continuum: A Young measure approach. Zbl 1088.74008
Paroni, Roberto
3
2003
A note on Meyers’ theorem in \(W^{k,1}\). Zbl 1006.49006
Fonseca, Irene; Leoni, Giovanni; Malý, Jan; Paroni, Roberto
4
2002
Second-order structured deformations. Zbl 0990.74004
Owen, David R.; Paroni, Roberto
17
2000
Homogenization of polycrystalline aggregates. Zbl 0989.74059
Paroni, Roberto
8
2000
Two micromechanical models in acoustoelasticity: A comparative study. Zbl 0998.74008
Paroni, Roberto; Man, Chi-Sing
6
2000
Optimal bounds on texture coefficients. Zbl 0976.74014
Paroni, Roberto
6
2000
Constitutive equations of elastic polycrystalline materials. Zbl 0958.74014
Paroni, Roberto; Man, Chi-Sing
11
1999
On the separation of stress-induced and texture-induced birefringence in acoustoelasticity. Zbl 0969.74018
Man, Chi-Sing; Paroni, Roberto
8
1996
all top 5

Cited by 275 Authors

32 Paroni, Roberto
12 Freddi, Lorenzo
11 Man, Chi-Sing
10 Mora, Maria Giovanna
9 Owen, David Ross
9 Steigmann, David J.
9 Tomassetti, Giuseppe
7 Guidugli, Paolo Podio
6 Davini, Cesare
6 Hornung, Peter
6 Huang, Mojia
6 Stefanelli, Ulisse
5 Bîrsan, Mircea
5 Kružík, Martin
5 Cardoso Matias, José Carlos Pedro
5 Morassi, Antonino
5 Neff, Patrizio
5 Sili, Ali
5 Truskinovsky, Lev
4 Braides, Andrea
4 Cicalese, Marco
4 Deseri, Luca
4 Fonseca, Irene
4 Gaudiello, Antonio
4 Morandotti, Marco
3 Agostiniani, Virginia
3 El Jarroudi, Mustapha
3 Grandi, Diego
3 Krasucki, Françoise
3 Le Bris, Claude
3 Lions, Pierre-Louis
3 Marohnić, Maroje
3 Pei, Pei
3 Rokhlin, Stanislav I.
3 Rosset, Edi
3 Tambača, Josip
3 Tanuma, Kazumi
3 Toundykov, Daniel
3 Vessella, Sergio
3 Zappale, Elvira
2 Almi, Stefano
2 Altenbach, Holm
2 Andrianov, Igor Vasil’evich
2 Awrejcewicz, Jan
2 Barroso, Ana Cristina
2 Benešová, Barbora
2 Bessoud, Anne Laure
2 Blanc, Xavier
2 Dai, Hui-Hui
2 Davoli, Elisa
2 Della Longa, Luca
2 Demirkoparan, Hasan
2 DeSimone, Antonio
2 Du, Wenwen
2 Francfort, Gilles A.
2 Friedrich, Manuel
2 Geymonat, Giuseppe
2 Guo, Zhichang
2 Gupta, Shishir
2 Hagerty, Adrian
2 Harutyunyan, Davit
2 Kawecki, Ellya L.
2 Kreisbeck, Carolin
2 Leoni, Giovanni
2 Lewicka, Marta
2 Li, Jia
2 Licht, Christian
2 Londero, Alessandro
2 Machill, Lennart
2 Maggiani, Giovanni Battista
2 Miara, Bernadette
2 Michaille, Gérard
2 Mielke, Alexander
2 Nandakumaran, Akambadath Keerthiyil
2 Neukamm, Stefan
2 Passarella, Francesca
2 Pence, Thomas J.
2 Puntel, Eric
2 Rammaha, Mohammad A.
2 Rizzoni, Raffaella
2 Seguin, Brian
2 Serpilli, Michele
2 Shcherbakov, Viktor Viktorovich
2 Siddig, Abdelgader
2 Šilhavý, Miroslav
2 Smears, Iain
2 Solombrino, Francesco
2 Song, Zilong
2 Sufian, Abu
2 Vainchtein, Anna
2 Virga, Epifanio G.
2 Vishwakarma, Sumit Kumar
2 Wu, Boying
2 Yang, Limei
2 Yao, Pengfei
2 Zampoli, Vittorio
2 Zanini, Chiara
2 Zeman, Jiri
2 Zhao, Ding
2 Zhou, Zhenyu
...and 175 more Authors
all top 5

Cited in 62 Serials

45 Journal of Elasticity
16 Mathematics and Mechanics of Solids
15 Meccanica
9 Calculus of Variations and Partial Differential Equations
8 Continuum Mechanics and Thermodynamics
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Archive for Rational Mechanics and Analysis
6 Journal of the Mechanics and Physics of Solids
6 SIAM Journal on Mathematical Analysis
5 International Journal of Engineering Science
5 Wave Motion
5 Journal of Differential Equations
5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Journal of Mathematical Analysis and Applications
3 Mathematical Methods in the Applied Sciences
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Optimization
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Nonlinear Science
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 European Journal of Mechanics. A. Solids
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Analysis and Applications (Singapore)
3 Mathematics and Mechanics of Complex Systems
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quarterly of Applied Mathematics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Journal of the European Mathematical Society (JEMS)
2 Nonlinear Analysis. Real World Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Acta Mechanica Sinica
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 International Journal of Solids and Structures
1 Inverse Problems
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Numerical Analysis
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Archive of Applied Mechanics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Communications in Contemporary Mathematics
1 Archives of Computational Methods in Engineering
1 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Discrete and Continuous Dynamical Systems. Series S
1 Advances in Calculus of Variations
1 Science China. Mathematics
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 AIMS Mathematics

Citations by Year