Schmeller, Leonie; Peschka, Dirk Gradient flows for coupling order parameters and mechanics. (English) Zbl 1523.74086 SIAM J. Appl. Math. 83, No. 1, 225-253 (2023). MSC: 74N20 74B20 74S05 74S20 PDFBibTeX XMLCite \textit{L. Schmeller} and \textit{D. Peschka}, SIAM J. Appl. Math. 83, No. 1, 225--253 (2023; Zbl 1523.74086) Full Text: DOI
Crismale, Vito Energetic solutions for the coupling of associative plasticity with damage in geomaterials. (English) Zbl 1491.74091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112957, 26 p. (2022). MSC: 74R20 74C05 74L10 74G65 35Q74 PDFBibTeX XMLCite \textit{V. Crismale}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112957, 26 p. (2022; Zbl 1491.74091) Full Text: DOI arXiv
Almi, Stefano; Belz, Sandro; Micheletti, Stefano; Perotto, Simona A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity. (English) Zbl 1476.49036 Math. Models Methods Appl. Sci. 31, No. 1, 37-81 (2021). MSC: 49M25 65K15 65N50 74G65 74K25 74R10 74S05 PDFBibTeX XMLCite \textit{S. Almi} et al., Math. Models Methods Appl. Sci. 31, No. 1, 37--81 (2021; Zbl 1476.49036) Full Text: DOI arXiv
Rossi, Riccarda; Stefanelli, Ulisse; Thomas, Marita Rate-independent evolution of sets. (English) Zbl 1458.35006 Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 89-119 (2021). MSC: 35A15 35R37 74R10 49Q10 PDFBibTeX XMLCite \textit{R. Rossi} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 1, 89--119 (2021; Zbl 1458.35006) Full Text: DOI arXiv
Thomas, Marita; Bilgen, Carola; Weinberg, Kerstin Analysis and simulations for a phase-field fracture model at finite strains based on modified invariants. (English) Zbl 07812950 ZAMM, Z. Angew. Math. Mech. 100, No. 12, Article ID e201900288, 51 p. (2020). MSC: 74Rxx 49Jxx 74Axx PDFBibTeX XMLCite \textit{M. Thomas} et al., ZAMM, Z. Angew. Math. Mech. 100, No. 12, Article ID e201900288, 51 p. (2020; Zbl 07812950) Full Text: DOI OA License
Bartels, Sören; Milicevic, Marijo Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. (English) Zbl 07357906 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1635-1660 (2020). MSC: 65K15 65N15 65N50 49M29 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{M. Milicevic}, ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1635--1660 (2020; Zbl 07357906) Full Text: DOI arXiv
Almi, Stefano Irreversibility and alternate minimization in phase field fracture: a viscosity approach. (English) Zbl 1447.35312 Z. Angew. Math. Phys. 71, No. 4, Paper No. 128, 21 p. (2020). Reviewer: Kaïs Ammari (Monastir) MSC: 35Q74 49J45 74R05 74R10 74G05 PDFBibTeX XMLCite \textit{S. Almi}, Z. Angew. Math. Phys. 71, No. 4, Paper No. 128, 21 p. (2020; Zbl 1447.35312) Full Text: DOI arXiv
Almi, Stefano; Negri, Matteo Analysis of staggered evolutions for nonlinear energies in phase field fracture. (English) Zbl 1448.74012 Arch. Ration. Mech. Anal. 236, No. 1, 189-252 (2020). MSC: 74A45 74R10 74H80 35Q74 PDFBibTeX XMLCite \textit{S. Almi} and \textit{M. Negri}, Arch. Ration. Mech. Anal. 236, No. 1, 189--252 (2020; Zbl 1448.74012) Full Text: DOI arXiv
Melching, David; Scala, Riccardo; Zeman, Jan Damage model for plastic materials at finite strains. (English) Zbl 07804536 ZAMM, Z. Angew. Math. Mech. 99, No. 9, Article ID e201800032, 28 p. (2019). MSC: 74A45 74C15 49J40 49J45 PDFBibTeX XMLCite \textit{D. Melching} et al., ZAMM, Z. Angew. Math. Mech. 99, No. 9, Article ID e201800032, 28 p. (2019; Zbl 07804536) Full Text: DOI OA License
Rossi, Riccarda Visco-energetic solutions to some rate-independent systems in damage, delamination, and plasticity. (English) Zbl 1425.35190 Math. Models Methods Appl. Sci. 29, No. 6, 1079-1138 (2019). MSC: 35Q74 49J40 74C05 74Rxx 74A45 74P10 PDFBibTeX XMLCite \textit{R. Rossi}, Math. Models Methods Appl. Sci. 29, No. 6, 1079--1138 (2019; Zbl 1425.35190) Full Text: DOI arXiv
Alessi, Roberto; Crismale, Vito; Orlando, Gianluca Fatigue effects in elastic materials with variational damage models: a vanishing viscosity approach. (English) Zbl 1417.74005 J. Nonlinear Sci. 29, No. 3, 1041-1094 (2019). MSC: 74C05 74A45 74R20 35Q74 49J45 PDFBibTeX XMLCite \textit{R. Alessi} et al., J. Nonlinear Sci. 29, No. 3, 1041--1094 (2019; Zbl 1417.74005) Full Text: DOI arXiv
Scala, Riccardo; Van Goethem, Nicolas Variational evolution of dislocations in single crystals. (English) Zbl 1426.35211 J. Nonlinear Sci. 29, No. 1, 319-344 (2019). Reviewer: Ramón Quintanilla de Latorre (Barcelona) MSC: 35Q74 74B20 35A15 74G65 PDFBibTeX XMLCite \textit{R. Scala} and \textit{N. Van Goethem}, J. Nonlinear Sci. 29, No. 1, 319--344 (2019; Zbl 1426.35211) Full Text: DOI HAL
Thomas, Marita; Bilgen, Carola; Weinberg, Kerstin Phase-field fracture at finite strains based on modified invariants: a note on its analysis and simulations. (English) Zbl 1525.74186 GAMM-Mitt. 40, No. 3, 207-237 (2018). MSC: 74R10 74R20 35Q74 74B20 PDFBibTeX XMLCite \textit{M. Thomas} et al., GAMM-Mitt. 40, No. 3, 207--237 (2018; Zbl 1525.74186) Full Text: DOI
Lazzaroni, Giuliano; Rossi, Riccarda; Thomas, Marita; Toader, Rodica Rate-independent damage in thermo-viscoelastic materials with inertia. (English) Zbl 1412.35325 J. Dyn. Differ. Equations 30, No. 3, 1311-1364 (2018). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 74H20 74R05 74C05 74F05 35B40 35A15 80A20 PDFBibTeX XMLCite \textit{G. Lazzaroni} et al., J. Dyn. Differ. Equations 30, No. 3, 1311--1364 (2018; Zbl 1412.35325) Full Text: DOI arXiv
Thomas, Marita; Zanini, Chiara Cohesive zone-type delamination in visco-elasticity. (English) Zbl 1366.35190 Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1487-1517 (2017). MSC: 35Q74 35A15 74H20 74C10 49J53 49J45 74C05 PDFBibTeX XMLCite \textit{M. Thomas} and \textit{C. Zanini}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1487--1517 (2017; Zbl 1366.35190) Full Text: DOI
Bartels, Sören; Milicevic, Marijo Iterative finite element solution of a constrained total variation regularized model problem. (English) Zbl 1365.65178 Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1207-1232 (2017). MSC: 65K15 65N30 49M27 94A08 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{M. Milicevic}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 6, 1207--1232 (2017; Zbl 1365.65178) Full Text: DOI
Rossi, Riccarda; Thomas, Marita Coupling rate-independent and rate-dependent processes: existence results. (English) Zbl 1368.35009 SIAM J. Math. Anal. 49, No. 2, 1419-1494 (2017). MSC: 35A15 35Q74 35K85 49Q20 74C05 PDFBibTeX XMLCite \textit{R. Rossi} and \textit{M. Thomas}, SIAM J. Math. Anal. 49, No. 2, 1419--1494 (2017; Zbl 1368.35009) Full Text: DOI
Crismale, Vito Globally stable quasistatic evolution for a coupled elastoplastic-damage model. (English) Zbl 1342.74026 ESAIM, Control Optim. Calc. Var. 22, No. 3, 883-912 (2016). MSC: 74C05 74R05 74G65 35Q74 49J45 PDFBibTeX XMLCite \textit{V. Crismale}, ESAIM, Control Optim. Calc. Var. 22, No. 3, 883--912 (2016; Zbl 1342.74026) Full Text: DOI
Bartels, Sören; Milicevic, Marijo Stability and experimental comparison of prototypical iterative schemes for total variation regularized problems. (English) Zbl 1342.65152 Comput. Methods Appl. Math. 16, No. 3, 361-388 (2016). MSC: 65K15 49M29 PDFBibTeX XMLCite \textit{S. Bartels} and \textit{M. Milicevic}, Comput. Methods Appl. Math. 16, No. 3, 361--388 (2016; Zbl 1342.65152) Full Text: DOI
Knees, Dorothee; Rossi, Riccarda; Zanini, Chiara A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains. (English) Zbl 1330.35438 Nonlinear Anal., Real World Appl. 24, 126-162 (2015). MSC: 35Q74 74B20 35B65 35A15 35D30 PDFBibTeX XMLCite \textit{D. Knees} et al., Nonlinear Anal., Real World Appl. 24, 126--162 (2015; Zbl 1330.35438) Full Text: DOI arXiv
Farshbaf-Shaker, M. Hassan; Heinemann, Christian A phase field approach for optimal boundary control of damage processes in two-dimensional viscoelastic media. (English) Zbl 1325.35212 Math. Models Methods Appl. Sci. 25, No. 14, 2749-2793 (2015). MSC: 35Q74 49J20 74A45 74D10 74R10 35A01 35A02 35D35 35M33 35M87 74H20 74H25 74P99 PDFBibTeX XMLCite \textit{M. H. Farshbaf-Shaker} and \textit{C. Heinemann}, Math. Models Methods Appl. Sci. 25, No. 14, 2749--2793 (2015; Zbl 1325.35212) Full Text: DOI arXiv
Rossi, Riccarda; Thomas, Marita From an adhesive to a brittle delamination model in thermo-visco-elasticity. (English) Zbl 1323.35101 ESAIM, Control Optim. Calc. Var. 21, No. 1, 1-59 (2015). Reviewer: Igor Bock (Bratislava) MSC: 35K85 47J20 49J45 49S05 74F05 74R10 PDFBibTeX XMLCite \textit{R. Rossi} and \textit{M. Thomas}, ESAIM, Control Optim. Calc. Var. 21, No. 1, 1--59 (2015; Zbl 1323.35101) Full Text: DOI Link
Bartels, Sören Error control and adaptivity for a variational model problem defined on functions of bounded variation. (English) Zbl 1311.65141 Math. Comput. 84, No. 293, 1217-1240 (2015). MSC: 65N30 65N15 35J25 65N50 PDFBibTeX XMLCite \textit{S. Bartels}, Math. Comput. 84, No. 293, 1217--1240 (2015; Zbl 1311.65141) Full Text: DOI
Roubíček, Tomáš; Thomas, Marita; Panagiotopoulos, Christos G. Stress-driven local-solution approach to quasistatic brittle delamination. (English) Zbl 1326.74104 Nonlinear Anal., Real World Appl. 22, 645-663 (2015). MSC: 74M15 74R10 35Q74 74A50 PDFBibTeX XMLCite \textit{T. Roubíček} et al., Nonlinear Anal., Real World Appl. 22, 645--663 (2015; Zbl 1326.74104) Full Text: DOI