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1

Singular Kernels, Multiscale Decomposition of Microstructure, and Dislocation Models

Sergio Conti, Adriana Garroni, Stefan Müller

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 445 KB

english, 2011

2

From 1-homogeneous supremal functionals to difference quotients: relaxation and Γ-convergence

Adriana Garroni, Marcello Ponsiglione, Francesca Prinari

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2006

Language:

english

File:

PDF, 389 KB

english, 2006

3

Gradient bounds for minimizers of free discontinuity problems related to cohesive zone models in fracture mechanics

Gianni Dal Maso, Adriana Garroni

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2008

Language:

english

File:

PDF, 174 KB

english, 2008

4

Metastability and Dynamics of Discrete Topological Singularities in Two Dimensions: A Γ-Convergence Approach

Alicandro, Roberto, De Luca, Lucia, Garroni, Adriana, Ponsiglione, Marcello

Journal:

Archive for Rational Mechanics and Analysis

Year:

2014

Language:

english

File:

PDF, 634 KB

english, 2014

5

Asymptotic Behavior of Nonlinear Elliptic Systems on Varying Domains

Diaz, Juan Casado, Garroni, Adriana

Journal:

SIAM Journal on Mathematical Analysis

Year:

2000

Language:

english

File:

PDF, 671 KB

english, 2000

6

Modeling of dislocations and relaxation of functionals on 1-currents with discrete multiplicity

Conti, Sergio, Garroni, Adriana, Massaccesi, Annalisa

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 502 KB

english, 2015

7

The Line-Tension Approximation as the Dilute Limit of Linear-Elastic Dislocations

Conti, Sergio, Garroni, Adriana, Ortiz, Michael

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 876 KB

english, 2015

8

Minimising movements for the motion of discrete screw dislocations along glide directions

Alicandro, Roberto, De Luca, Lucia, Garroni, Adriana, Ponsiglione, Marcello

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 497 KB

english, 2017

9

Correctors and error estimates in the homogenization of a Mullins–Sekerka problem

Adriana Garroni, Barbara Niethammer

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2002

File:

PDF, 158 KB

2002

10

A capacitary method for the asymptotic analysis of dirichlet problems for monotone operators

Gianni Dal Maso, Adriana Garroni, Igor V. Skrypnik

Journal:

Journal d'Analyse Mathématique

Year:

1997

Language:

english

File:

PDF, 2.08 MB

english, 1997

11

Special functions with bounded variation and with weakly differentiable traces on the jump set

Luigi Ambrosio, Andrea Braides, Adriana Garroni

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

1998

Language:

english

File:

PDF, 458 KB

english, 1998

12

A Variational View of Partial Brittle Damage Evolution

Gilles A. Francfort, Adriana Garroni

Journal:

Archive for Rational Mechanics and Analysis

Year:

2006

Language:

english

File:

PDF, 264 KB

english, 2006

13

A Variational Model for Dislocations in the Line Tension Limit

Adriana Garroni, Stefan Müller

Journal:

Archive for Rational Mechanics and Analysis

Year:

2006

Language:

english

File:

PDF, 384 KB

english, 2006

14

Threshold-based Quasi-static Brittle Damage Evolution

Adriana Garroni, Christopher J. Larsen

Journal:

Archive for Rational Mechanics and Analysis

Year:

2009

Language:

english

File:

PDF, 383 KB

english, 2009

15

Variational Formulation of Softening Phenomena in Fracture Mechanics: The One‐Dimensional Case

Andrea Braides, Gianni Dal Maso, Adriana Garroni

Journal:

Archive for Rational Mechanics and Analysis

Year:

1999

Language:

english

File:

PDF, 282 KB

english, 1999

16

A 1D Macroscopic Phase Field Model for Dislocations and a Second Order $\Gamma$-Limit

Focardi, Matteo, Garroni, Adriana

Journal:

Multiscale Modeling and Simulation

Year:

2008

Language:

english

File:

PDF, 322 KB

english, 2008

17

Γ -convergence of functionals on divergence-free fields

Ansini, Nadia, Garroni, Adriana

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2007

Language:

english

File:

PDF, 233 KB

english, 2007

18

Some Three-Dimensional Problems Related to Dielectric Breakdown and Polycrystal Plasticity

Adriana Garroni and Robert V. Kohn

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2003

Language:

english

File:

PDF, 386 KB

english, 2003

19

Boundary Effects in the Gradient Theory of Phase Transitions

Bertini, Lorenzo, Buttà, Paolo, Garroni, Adriana

Journal:

SIAM Journal on Mathematical Analysis

Year:

2012

Language:

english

File:

PDF, 284 KB

english, 2012

20

Gradient theory for plasticity via homogenization of discrete dislocations

Garroni, Adriana, Leoni, Giovanni, Ponsiglione, Marcello

Journal:

Journal of the European Mathematical Society

Year:

2010

Language:

english

File:

PDF, 309 KB

english, 2010

21

HOMOGENIZATION OF L ∞ FUNCTIONALS

BRIANI, ARIELA, PRINARI, FRANCESCA, GARRONI, ADRIANA

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2004

Language:

english

File:

PDF, 279 KB

english, 2004

22

NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS

MASO, GIANNI DAL, GARRONI, ADRIANA

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1994

Language:

english

File:

PDF, 1.37 MB

english, 1994

23

HOMOGENIZATION OF PERIODIC NONLINEAR MEDIA WITH STIFF AND SOFT INCLUSIONS

BRAIDES, ANDREA, GARRONI, ADRIANA

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1995

Language:

english

File:

PDF, 801 KB

english, 1995

24

Dislocation microstructures and strain-gradient plasticity with one active slip plane

Conti, Sergio, Garroni, Adriana, Müller, Stefan

Journal:

Journal of the Mechanics and Physics of Solids

Year:

2016

Language:

english

File:

PDF, 763 KB

english, 2016

25

Quasi-static damage evolution and homogenization: A case study of non-commutability

Braides, Andrea, Cassano, Biagio, Garroni, Adriana, Sarrocco, David

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2016

Language:

english

File:

PDF, 426 KB

english, 2016

26

Homogenization of vector-valued partition problems and dislocation cell structures in the plane

Conti, Sergio, Garroni, Adriana, Müller, Stefan

Journal:

Bollettino dell'Unione Matematica Italiana

Year:

2017

Language:

english

File:

PDF, 691 KB

english, 2017

27

Interfacial Energies of Systems of Chiral Molecules

Braides, Andrea, Garroni, Adriana, Palombaro, Mariapia

Journal:

Multiscale Modeling and Simulation

Year:

2016

Language:

english

File:

PDF, 10.51 MB

english, 2016

28

Boundary-layer analysis of a pile-up of walls of edge dislocations at a lock

Garroni, Adriana, van Meurs, Patrick, Peletier, Mark A., Scardia, Lucia

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2016

Language:

english

File:

PDF, 558 KB

english, 2016

29

Variational Methods for the Modelling of Inelastic Solids

Dolzmann, Georg, Garroni, Adriana, Hackl, Klaus, Ortiz, Michael

Journal:

Oberwolfach Reports

Year:

2019

Language:

english

File:

PDF, 2.04 MB

english, 2019

30

A multi-phase transition model for dislocations with interfacial microstructure

Cacace, Simone, Garroni, Adriana

Journal:

Interfaces and Free Boundaries

Year:

2009

Language:

english

File:

PDF, 366 KB

english, 2009

31

A multi-phase transition model for dislocations with interfacial microstructure

Cacace, Simone, Garroni, Adriana

Journal:

Interfaces and Free Boundaries

Year:

2009

File:

PDF, 366 KB

2009