Bonacini, Marco; Conti, Sergio; Iurlano, Flaviana Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models. (English) Zbl 1460.74002 Arch. Ration. Mech. Anal. 239, No. 3, 1501-1576 (2021). MSC: 74A45 74R99 35Q74 PDFBibTeX XMLCite \textit{M. Bonacini} et al., Arch. Ration. Mech. Anal. 239, No. 3, 1501--1576 (2021; Zbl 1460.74002) Full Text: DOI arXiv
Caffarelli, L.; Cagnetti, F.; Figalli, A. Optimal regularity and structure of the free boundary for minimizers in cohesive zone models. (English) Zbl 1442.49005 Arch. Ration. Mech. Anal. 237, No. 1, 299-345 (2020). Reviewer: Francesco Rossi (Padova) MSC: 49J20 35R35 49J10 49K40 35J20 49S05 74R99 PDFBibTeX XMLCite \textit{L. Caffarelli} et al., Arch. Ration. Mech. Anal. 237, No. 1, 299--345 (2020; Zbl 1442.49005) 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
Chambolle, Antonin; Crismale, Vito A density result in \(GSBD^p\) with applications to the approximation of brittle fracture energies. (English) Zbl 1411.74050 Arch. Ration. Mech. Anal. 232, No. 3, 1329-1378 (2019). MSC: 74R10 74P10 49Q10 PDFBibTeX XMLCite \textit{A. Chambolle} and \textit{V. Crismale}, Arch. Ration. Mech. Anal. 232, No. 3, 1329--1378 (2019; Zbl 1411.74050) Full Text: DOI arXiv
Chambolle, Antonin; Conti, Sergio; Francfort, Gilles A. Approximation of a brittle fracture energy with a constraint of non-interpenetration. (English) Zbl 1391.35366 Arch. Ration. Mech. Anal. 228, No. 3, 867-889 (2018). Reviewer: Dongbing Zha (Shanghai) MSC: 35Q74 74B10 74R10 74A45 35A15 74G65 35R09 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Arch. Ration. Mech. Anal. 228, No. 3, 867--889 (2018; Zbl 1391.35366) Full Text: DOI arXiv
Barchiesi, Marco Toughening by crack deflection in the homogenization of brittle composites with soft inclusions. (English) Zbl 1387.35569 Arch. Ration. Mech. Anal. 227, No. 2, 749-766 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q74 74R10 PDFBibTeX XMLCite \textit{M. Barchiesi}, Arch. Ration. Mech. Anal. 227, No. 2, 749--766 (2018; Zbl 1387.35569) Full Text: DOI arXiv
Friedrich, Manuel A derivation of linearized Griffith energies from nonlinear models. (English) Zbl 1367.35169 Arch. Ration. Mech. Anal. 225, No. 1, 425-467 (2017). MSC: 35Q74 74B10 74B20 74R05 35B45 PDFBibTeX XMLCite \textit{M. Friedrich}, Arch. Ration. Mech. Anal. 225, No. 1, 425--467 (2017; Zbl 1367.35169) Full Text: DOI arXiv
Ehrlacher, V.; Ortner, C.; Shapeev, A. V. Analysis of boundary conditions for crystal defect atomistic simulations. (English) Zbl 1358.35187 Arch. Ration. Mech. Anal. 222, No. 3, 1217-1268 (2016). Reviewer: Adina Chirila (Brasov) MSC: 35Q74 74B05 74B20 74E15 74R99 35B65 PDFBibTeX XMLCite \textit{V. Ehrlacher} et al., Arch. Ration. Mech. Anal. 222, No. 3, 1217--1268 (2016; Zbl 1358.35187) Full Text: DOI arXiv
Conti, Sergio; Ortiz, Michael Optimal scaling in solids undergoing ductile fracture by crazing. (English) Zbl 1343.35226 Arch. Ration. Mech. Anal. 219, No. 2, 607-636 (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q74 74R05 74G65 26A33 PDFBibTeX XMLCite \textit{S. Conti} and \textit{M. Ortiz}, Arch. Ration. Mech. Anal. 219, No. 2, 607--636 (2016; Zbl 1343.35226) Full Text: DOI
Friedrich, Manuel; Schmidt, Bernd An analysis of crystal cleavage in the passage from atomistic models to continuum theory. (English) Zbl 1329.82025 Arch. Ration. Mech. Anal. 217, No. 1, 263-308 (2015). MSC: 82B20 74R05 74A45 74A60 74G65 74E15 82D25 PDFBibTeX XMLCite \textit{M. Friedrich} and \textit{B. Schmidt}, Arch. Ration. Mech. Anal. 217, No. 1, 263--308 (2015; Zbl 1329.82025) Full Text: DOI arXiv
Kupferman, Raz; Moshe, Michael; Solomon, Jake P. Metric description of singular defects in isotropic materials. (English) Zbl 1323.35173 Arch. Ration. Mech. Anal. 216, No. 3, 1009-1047 (2015). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 35Q74 74B10 74A60 74M25 74R99 PDFBibTeX XMLCite \textit{R. Kupferman} et al., Arch. Ration. Mech. Anal. 216, No. 3, 1009--1047 (2015; Zbl 1323.35173) Full Text: DOI arXiv
Henao, Duvan; Mora-Corral, Carlos; Xu, Xianmin \(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity. (English) Zbl 1457.35081 Arch. Ration. Mech. Anal. 216, No. 3, 813-879 (2015). MSC: 35Q74 74B20 74G65 74S05 74R10 PDFBibTeX XMLCite \textit{D. Henao} et al., Arch. Ration. Mech. Anal. 216, No. 3, 813--879 (2015; Zbl 1457.35081) Full Text: DOI Link
Fokoua, Landry; Conti, Sergio; Ortiz, Michael Optimal scaling in solids undergoing ductile fracture by void sheet formation. (English) Zbl 1294.35161 Arch. Ration. Mech. Anal. 212, No. 1, 331-357 (2014). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q74 74C99 PDFBibTeX XMLCite \textit{L. Fokoua} et al., Arch. Ration. Mech. Anal. 212, No. 1, 331--357 (2014; Zbl 1294.35161) Full Text: DOI
Laydi, Mohamed Rachid; Lexcellent, Christian Rice local phase angle study for a delamination problem between a shape memory alloy and an elastic material. (English) Zbl 1427.74010 Arch. Ration. Mech. Anal. 204, No. 3, 977-1007 (2012). MSC: 74A45 74N99 35Q74 PDFBibTeX XMLCite \textit{M. R. Laydi} and \textit{C. Lexcellent}, Arch. Ration. Mech. Anal. 204, No. 3, 977--1007 (2012; Zbl 1427.74010) Full Text: DOI HAL
Fiaschi, Alice; Knees, Dorothee; Stefanelli, Ulisse Young-measure quasi-static damage evolution. (English) Zbl 1281.74005 Arch. Ration. Mech. Anal. 203, No. 2, 415-453 (2012). MSC: 74A45 74G65 74G25 PDFBibTeX XMLCite \textit{A. Fiaschi} et al., Arch. Ration. Mech. Anal. 203, No. 2, 415--453 (2012; Zbl 1281.74005) Full Text: DOI
Nazarov, Sergueï A.; Specovius-Neugebauer, Maria Modeling of cracks with nonlinear effects at the tip zones and the generalized energy criterion. (English) Zbl 1261.74029 Arch. Ration. Mech. Anal. 202, No. 3, 1019-1057 (2011). MSC: 74R10 74B05 74G65 35Q74 PDFBibTeX XMLCite \textit{S. A. Nazarov} and \textit{M. Specovius-Neugebauer}, Arch. Ration. Mech. Anal. 202, No. 3, 1019--1057 (2011; Zbl 1261.74029) Full Text: DOI
Chambolle, Antonin; Giacomini, Alessandro; Ponsiglione, Marcello Crack initiation in brittle materials. (English) Zbl 1138.74042 Arch. Ration. Mech. Anal. 188, No. 2, 309-349 (2008). MSC: 74R10 74G65 PDFBibTeX XMLCite \textit{A. Chambolle} et al., Arch. Ration. Mech. Anal. 188, No. 2, 309--349 (2008; Zbl 1138.74042) Full Text: DOI arXiv
Giacomini, Alessandro; Ponsiglione, Marcello A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications. (English) Zbl 1089.74011 Arch. Ration. Mech. Anal. 180, No. 3, 399-447 (2006). MSC: 74A45 74Q05 49J45 PDFBibTeX XMLCite \textit{A. Giacomini} and \textit{M. Ponsiglione}, Arch. Ration. Mech. Anal. 180, No. 3, 399--447 (2006; Zbl 1089.74011) Full Text: DOI arXiv
Dal Maso, Gianni; Francfort, Gilles A.; Toader, Rodica Quasistatic crack growth in nonlinear elasticity. (English) Zbl 1064.74150 Arch. Ration. Mech. Anal. 176, No. 2, 165-225 (2005). MSC: 74R10 74B20 74G65 74G25 PDFBibTeX XMLCite \textit{G. Dal Maso} et al., Arch. Ration. Mech. Anal. 176, No. 2, 165--225 (2005; Zbl 1064.74150) Full Text: DOI arXiv
Dal Maso, Gianni; Toader, Rodica A model for the quasi-static growth of brittle fractures: Existence and approximation results. (English) Zbl 1042.74002 Arch. Ration. Mech. Anal. 162, No. 2, 101-135 (2002). Reviewer: Anatoliy S. Semenov (Odessa) MSC: 74A45 74R10 74G65 PDFBibTeX XMLCite \textit{G. Dal Maso} and \textit{R. Toader}, Arch. Ration. Mech. Anal. 162, No. 2, 101--135 (2002; Zbl 1042.74002) Full Text: DOI arXiv
Friedman, Avner; Hu, Bei; Velazquez, Juan J. L. The evolution of stress intensity factors and the propagation of cracks in elastic media. (English) Zbl 0970.74058 Arch. Ration. Mech. Anal. 152, No. 2, 103-139 (2000). MSC: 74R10 74G70 35Q72 PDFBibTeX XMLCite \textit{A. Friedman} et al., Arch. Ration. Mech. Anal. 152, No. 2, 103--139 (2000; Zbl 0970.74058) Full Text: DOI
Braides, Andrea; Dal Maso, Gianni; Garroni, Adriana Variational formulation of softening phenomena in fracture mechanics: The one-dimensional case. (English) Zbl 0945.74006 Arch. Ration. Mech. Anal. 146, No. 1, 23-58 (1999). MSC: 74A45 74A60 74R20 74G65 PDFBibTeX XMLCite \textit{A. Braides} et al., Arch. Ration. Mech. Anal. 146, No. 1, 23--58 (1999; Zbl 0945.74006) Full Text: DOI
Braides, Andrea; Defranceschi, Anneliese; Vitali, Enrico Homogenization of free discontinuity problems. (English) Zbl 0924.35015 Arch. Ration. Mech. Anal. 135, No. 4, 297-356 (1996). MSC: 35B27 74E05 35A15 74R99 PDFBibTeX XMLCite \textit{A. Braides} et al., Arch. Ration. Mech. Anal. 135, No. 4, 297--356 (1996; Zbl 0924.35015) Full Text: DOI
Wendland, W. L.; Stephan, E. P. A hypersingular boundary integral method for two-dimensional screen and crack problems. (English) Zbl 0725.73091 Arch. Ration. Mech. Anal. 112, No. 4, 363-390 (1990). Reviewer: J.C.F.Telles (Rio de Janeiro) MSC: 74S15 74R99 74J20 65R10 74S30 PDFBibTeX XMLCite \textit{W. L. Wendland} and \textit{E. P. Stephan}, Arch. Ration. Mech. Anal. 112, No. 4, 363--390 (1990; Zbl 0725.73091) Full Text: DOI
Demengel, Françoise Compactness theorems for spaces of functions with bounded derivatives and applications to limit analysis problems in plasticity. (English) Zbl 0669.73030 Arch. Ration. Mech. Anal. 105, No. 2, 123-161 (1989). Reviewer: S.Minagawa MSC: 74R20 49J27 74S30 49Q05 46A50 PDFBibTeX XMLCite \textit{F. Demengel}, Arch. Ration. Mech. Anal. 105, No. 2, 123--161 (1989; Zbl 0669.73030) Full Text: DOI
Villaggio, Piero The motion of a detaching elastic body. (English) Zbl 0544.73016 Arch. Ration. Mech. Anal. 85, 161-170 (1984). Reviewer: G.P.Ostermeyer MSC: 74B99 74H99 74A55 74M15 74R99 PDFBibTeX XMLCite \textit{P. Villaggio}, Arch. Ration. Mech. Anal. 85, 161--170 (1984; Zbl 0544.73016) Full Text: DOI
Simmonds, J. G.; Nicholson, J. W. On Sanders’ energy-release rate integral and conservation laws in finite elastostatics. (English) Zbl 0463.73034 Arch. Ration. Mech. Anal. 76, 1-8 (1981). MSC: 74B20 74R05 74R99 28B05 PDFBibTeX XMLCite \textit{J. G. Simmonds} and \textit{J. W. Nicholson}, Arch. Ration. Mech. Anal. 76, 1--8 (1981; Zbl 0463.73034) Full Text: DOI