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All issues Volume 22 / No 1 (January-March 2016) ESAIM: COCV, 22 1 (2016) 188-207 References
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Issue
ESAIM: COCV
Volume 22, Number 1, January-March 2016
Page(s) 188 - 207
DOI https://doi.org/10.1051/cocv/2015001
Published online 15 January 2016
  1. G. Alberti and A. DeSimone, Quasistatic evolution of sessile drops and contact angle hysteresis. Arch. Ration. Mech. Anal. 202 (2011) 295–348. [CrossRef] [Google Scholar]
  2. L. Ambrosio, N. Fusco and D. Pallara, Functions of bounded variation and free discontinuity problems. Clarendon Press (2000). [Google Scholar]
  3. G. Dal Maso, A. DeSimone, M.G. Mora and M. Morini, Globally stable quasistatic evolution in plasticity with softening. Netw. Heterog. Media 3 (2008) 567–614. [CrossRef] [MathSciNet] [Google Scholar]
  4. G. Dal Maso, A. DeSimone, M.G. Mora and M. Morini, A vanishing viscosity approach to quasistatic evolution in plasticity with softening. Arch. Ration. Mech. Anal. 189 (2008) 469–544. [CrossRef] [MathSciNet] [Google Scholar]
  5. G. Dal Maso, A. DeSimone and F. Solombrino, Quasistatic evolution for Cam-Clay plasticity: a weak formulation via viscoplastic regularization and time rescaling. Cal. Var. Partial Differ. Equ. 40 (2008) 125–181. [Google Scholar]
  6. G. Dal Maso and G. Lazzaroni, Quasistatic crack growth in finite elasticity with non-interpenetration. Ann. Inst. Henri Poincaré Anal. Non Linéaire 27 (2010) 257–290. [Google Scholar]
  7. M. Efendiev and A. Mielke, On the rate-independent limit of systems with dry friction and small viscosity. J. Convex Analysis 13 (2006) 151–167. [Google Scholar]
  8. G. Francfort and C.J. Larsen, Existence and convergence for quasistatic evolution in brittle fracture. Comm. Pure Appl. Math. 56 (2003) 1465–1500. [CrossRef] [MathSciNet] [Google Scholar]
  9. G. Francfort and J.-J. Marigo, Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46 (1998) 1319–1342. [CrossRef] [MathSciNet] [Google Scholar]
  10. G. Francfort and A. Mielke, Existence results for a class of rate-independent material models with nonconvex elastic energies. J. Reine Angew. Math. 595 (2006) 55–91. [CrossRef] [MathSciNet] [Google Scholar]
  11. C.J. Larsen, Epsilon-stable quasistatic brittle fracture evolution. Comm. Pure Appl. Math. 63 (2010) 630–654. [MathSciNet] [Google Scholar]
  12. A. Mainik and A. Mielke, Existence results for energetic models for rate-independent systems. Calc. Var. Partial Differ. Equ. 22 (2005) 73–99. [Google Scholar]
  13. A. Mielke, Finite Elastoplasticity, Lie Groups and Geodesics on SL(d), In Geometry, Dynamics, and Mechanics. Edited by P. Newton, A. Weinstein and P. Holmes. Springer-Verlag (2003) 61–90. [Google Scholar]
  14. A. Mielke, Energetic formulation of multiplicative elasto-plasticity using dissipation distances. Cont. Mech. Thermodyn. 15 (2003) 351–382. [Google Scholar]
  15. A. Mielke, Evolution of Rate-Independent Systems. Handb. Differ. Equ. Evol. Equ. Elsevier B. V. 2 (2005) 461–559. [Google Scholar]
  16. A. Mielke, A Mathematical Framework for Generalized Standard Materials in the Rate-independent Case, in Multifield problems in Fluid and Solid Mechanics. In Ser. Lect. Notes Appl. Comput. Mechanics. Springer (2006). [Google Scholar]
  17. A. Mielke, Modeling and Analysis of Rate-independent Processes. Lipschitz Lectures. University of Bonn (2007). [Google Scholar]
  18. A. Mielke, Differential, Energetic and Metric Formulations for Rate-independent Processes. Lect. Notes of C.I.M.E. Summer School on Nonlinear PDEs and Applications. Cetraro (2008). [Google Scholar]
  19. A. Mielke, R. Rossi and G. Savaré, Modeling solutions with jumps for rate-independent systems on metric spaces. Discrete Contin. Dyn. Syst. 2 (2010) 585–615. [Google Scholar]
  20. A. Mielke, R. Rossi and G. Savaré, BV solutions and viscosity approximations of rate-independent systems. ESAIM: COCV 18 (2012) 36–80. [CrossRef] [EDP Sciences] [Google Scholar]
  21. A. Mielke, R. Rossi and G. Savaré, Balanced Viscosity (BV) solutions to infinite-dimensional rate-independent systems. To appear in J. Eur. Math. Soc. (2016). [Google Scholar]
  22. A. Mielke and F. Theil, A Mathematical Model for Rate-Independent Phase Transformations with Hysteresis. In Models of Continuum Mechanics in Analysis and Engineering. Shaker Ver. Aachen (1999). [Google Scholar]
  23. A. Mielke and F. Theil, On rate-independent hysteresis models. NoDEA Nonlin. Differ. Equ. Appl. 11 (2004) 151–189. [CrossRef] [Google Scholar]
  24. A. Mielke, F. Theil and V. Levitas, A variational formulation of rate-independent phase transformations using an extremum principle. Arch. Rational Mech. Anal. 162 (2002) 137–177. [CrossRef] [MathSciNet] [Google Scholar]
  25. M.N. Minh, Weak solutions to rate-independent systems: Existence and Regularity. Ph.D. thesis (2012). [Google Scholar]
  26. S. Müller, Variational Models for Microstructure and Phase Transitions, In Calculus of Variations and Geometric Evolution Problems, Cetraro. Springer, Berline (1999) 85–210. [Google Scholar]
  27. I.P. Natanson, Theory of Functions of a Real Variable. Frederick Ungar, New York (1965). [Google Scholar]
  28. M. Negri, A comparative analysis on variational models for quasi-static brittle crack propagation. Adv. Calc. Var. 3 (2010) 149–212. [CrossRef] [MathSciNet] [Google Scholar]
  29. F. Schmid and A. Mielke, Vortex pinning in super-conductivity as a rate-independent process. Eur. J. Appl. Math. (2005). [Google Scholar]
  30. U. Stefanelli, A variational characterization of rate-independent evolution. Math. Nach. 282 (2009) 1492–1512. [Google Scholar]
  31. R. Rossi and G. Savaré, A characterization of energetic and BV solutions to one-dimensional rate-independent systems. Discrete Contin. Dyn. Syst. Ser. S. 6 (2013) 167–191. [MathSciNet] [Google Scholar]

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