Sozio, Fabio; Yavari, Arash A geometric field theory of dislocation mechanics. (English) Zbl 1525.74037 J. Nonlinear Sci. 33, No. 5, Paper No. 83, 83 p. (2023). MSC: 74C15 74A60 74E15 53Z05 PDFBibTeX XMLCite \textit{F. Sozio} and \textit{A. Yavari}, J. Nonlinear Sci. 33, No. 5, Paper No. 83, 83 p. (2023; Zbl 1525.74037) Full Text: DOI arXiv
Bishara, Dana; Li, Shaofan A machine-learning aided multiscale homogenization model for crystal plasticity: application for face-centered cubic single crystals. (English) Zbl 1522.74110 Comput. Mech. 72, No. 1, 77-93 (2023). MSC: 74S99 74S05 74E15 74C20 74Q15 74A25 68T05 PDFBibTeX XMLCite \textit{D. Bishara} and \textit{S. Li}, Comput. Mech. 72, No. 1, 77--93 (2023; Zbl 1522.74110) Full Text: DOI
Jones, Reese; Safta, Cosmin; Frankel, Ari Deep learning and multi-level featurization of graph representations of microstructural data. (English) Zbl 1522.74111 Comput. Mech. 72, No. 1, 57-75 (2023). MSC: 74S99 74M25 68T05 68T07 PDFBibTeX XMLCite \textit{R. Jones} et al., Comput. Mech. 72, No. 1, 57--75 (2023; Zbl 1522.74111) Full Text: DOI arXiv
Dipierro, Serena; Patrizi, Stefania; Valdinoci, Enrico A fractional glance to the theory of edge dislocations. (English) Zbl 1518.35585 Indrei, Emanuel (ed.) et al., Geometric and functional inequalities and recent topics in nonlinear PDEs. Virtual conference, Purdue University, West Lafayette, IN, USA, February 28 – March 1, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 781, 103-135 (2023). MSC: 35Q74 74N05 74Q05 74Q10 35B40 35B36 82D25 26A33 35R11 PDFBibTeX XMLCite \textit{S. Dipierro} et al., Contemp. Math. 781, 103--135 (2023; Zbl 1518.35585) Full Text: DOI arXiv
Zhang, Yujie; Fan, Jitang; Gan, Bin; Guo, Xiang; Ruan, Haihui; Zhu, Linli Constitutive modeling of mechanical behaviors in gradient nanostructured alloys with hierarchical dual-phased microstructures. (English) Zbl 1501.74006 Acta Mech. 233, No. 8, 3197-3212 (2022). MSC: 74A20 74A60 74N15 74C99 82D35 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Acta Mech. 233, No. 8, 3197--3212 (2022; Zbl 1501.74006) Full Text: DOI
Courte, Luca; Dondl, Patrick; Ortiz, Michael A proof of Taylor scaling for curvature-driven dislocation motion through random arrays of obstacles. (English) Zbl 1487.35187 Arch. Ration. Mech. Anal. 244, No. 2, 317-341 (2022). MSC: 35D40 35K86 PDFBibTeX XMLCite \textit{L. Courte} et al., Arch. Ration. Mech. Anal. 244, No. 2, 317--341 (2022; Zbl 1487.35187) Full Text: DOI arXiv
Abdelaziz, Batoul; El Badia, Abdellatif; El Hajj, Ahmad Identification and stability of small-sized dislocations using a direct algorithm. (English) Zbl 1481.35388 Inverse Probl. Imaging 16, No. 1, 197-214 (2022). MSC: 35R30 35Q70 74G75 74B05 74B10 74C10 PDFBibTeX XMLCite \textit{B. Abdelaziz} et al., Inverse Probl. Imaging 16, No. 1, 197--214 (2022; Zbl 1481.35388) Full Text: DOI
Meng, Changyu; Wei, Haoyang; Chen, Hailong; Liu, Yongming Modeling plasticity of cubic crystals using a nonlocal lattice particle method. (English) Zbl 1502.74019 Comput. Methods Appl. Mech. Eng. 385, Article ID 114069, 21 p. (2021). MSC: 74C05 65N75 74E15 PDFBibTeX XMLCite \textit{C. Meng} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114069, 21 p. (2021; Zbl 1502.74019) Full Text: DOI
Yu, Zhijie; Lin, Zhongya; Wei, Yueguang Investigation on cross-scale indentation scaling relationships of elastic-plastic solids. (English) Zbl 1489.74042 Acta Mech. 232, No. 4, 1479-1496 (2021). MSC: 74M15 74C05 74M25 PDFBibTeX XMLCite \textit{Z. Yu} et al., Acta Mech. 232, No. 4, 1479--1496 (2021; Zbl 1489.74042) Full Text: DOI
Wang, Yan; Wu, Hui; Sun, Lizhong; Jiang, Wenjuan; Lu, Chunsheng; Ma, Zengsheng Coupled electrochemical-mechanical modeling with strain gradient plasticity for lithium-ion battery electrodes. (English) Zbl 1472.74054 Eur. J. Mech., A, Solids 87, Article ID 104230, 8 p. (2021). MSC: 74E40 74C99 74S20 78A55 PDFBibTeX XMLCite \textit{Y. Wang} et al., Eur. J. Mech., A, Solids 87, Article ID 104230, 8 p. (2021; Zbl 1472.74054) Full Text: DOI
Hexner, Daniel; Liu, Andrea J.; Nagel, Sidney R. Periodic training of creeping solids. (English) Zbl 1485.74016 Proc. Natl. Acad. Sci. USA 117, No. 50, 31691 (2020). MSC: 74C05 PDFBibTeX XMLCite \textit{D. Hexner} et al., Proc. Natl. Acad. Sci. USA 117, No. 50, 31691 (2020; Zbl 1485.74016) Full Text: DOI arXiv
Lucardesi, Ilaria; Morandotti, Marco; Scala, Riccardo; Zucco, Davide Upscaling of screw dislocations with increasing tangential strain. (English) Zbl 1440.74098 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 421-445 (2020). MSC: 74E15 35Q74 35J25 74B05 49J40 PDFBibTeX XMLCite \textit{I. Lucardesi} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 2, 421--445 (2020; Zbl 1440.74098) Full Text: DOI arXiv
Steigmann, David J. A primer on plasticity. (English) Zbl 1444.74011 Merodio, José (ed.) et al., Constitutive modelling of solid continua. Based on the international workshop on modelling of nonlinear continua, Castro Urdiales, Spain, June 26–30, 2017. Cham: Springer. Solid Mech. Appl. 262, 125-153 (2020). MSC: 74C20 74E15 74-01 PDFBibTeX XMLCite \textit{D. J. Steigmann}, Solid Mech. Appl. 262, 125--153 (2020; Zbl 1444.74011) Full Text: DOI
Gurrutxaga-Lerma, B. A stochastic study of the collective effect of random distributions of dislocations. (English) Zbl 1474.74013 J. Mech. Phys. Solids 124, 10-34 (2019). MSC: 74A45 74S60 PDFBibTeX XMLCite \textit{B. Gurrutxaga-Lerma}, J. Mech. Phys. Solids 124, 10--34 (2019; Zbl 1474.74013) Full Text: DOI Link
Yoshida, Sanichiro Wave dynamics of deformation and fracture. (English) Zbl 1429.74085 Altenbach, Holm (ed.) et al., Dynamical processes in generalized continua and structures. Dedicated to Dmitry Anatol’evich Indeitsev on the occasion to his 70th birthday. Cham: Springer. Adv. Struct. Mater. 103, 485-525 (2019). MSC: 74Rxx PDFBibTeX XMLCite \textit{S. Yoshida}, Adv. Struct. Mater. 103, 485--525 (2019; Zbl 1429.74085) Full Text: DOI
Darvishvand, Amer; Zajkani, Asghar Nonlinear plastic buckling analysis of micro-scale thin plates established on higher order mechanism-based strain gradient plasticity framework. (English) Zbl 1473.74044 Eur. J. Mech., A, Solids 77, Article ID 103777, 11 p. (2019). MSC: 74G60 74K20 74C99 74M25 74G65 74S99 PDFBibTeX XMLCite \textit{A. Darvishvand} and \textit{A. Zajkani}, Eur. J. Mech., A, Solids 77, Article ID 103777, 11 p. (2019; Zbl 1473.74044) Full Text: DOI
Ginster, Janusz Strain-gradient plasticity as the \(\Gamma\)-limit of a nonlinear dislocation energy with mixed growth. (English) Zbl 1422.49012 SIAM J. Math. Anal. 51, No. 4, 3424-3464 (2019). MSC: 49J45 74C05 PDFBibTeX XMLCite \textit{J. Ginster}, SIAM J. Math. Anal. 51, No. 4, 3424--3464 (2019; Zbl 1422.49012) Full Text: DOI arXiv
Langer, J. S. Statistical thermodynamics of crystal plasticity. (English) Zbl 1420.82014 J. Stat. Phys. 175, No. 3-4, 531-541 (2019). MSC: 82C35 82D25 82-03 01A70 82C03 PDFBibTeX XMLCite \textit{J. S. Langer}, J. Stat. Phys. 175, No. 3--4, 531--541 (2019; Zbl 1420.82014) Full Text: DOI arXiv
Ginster, Janusz Plasticity as the \(\Gamma\)-limit of a two-dimensional dislocation energy: the critical regime without the assumption of well-separateness. (English) Zbl 1460.74009 Arch. Ration. Mech. Anal. 233, No. 3, 1253-1288 (2019). MSC: 74C99 74E15 PDFBibTeX XMLCite \textit{J. Ginster}, Arch. Ration. Mech. Anal. 233, No. 3, 1253--1288 (2019; Zbl 1460.74009) Full Text: DOI arXiv
Dahlberg, C. F. O.; Ortiz, M. Fractional strain-gradient plasticity. (English) Zbl 1472.74035 Eur. J. Mech., A, Solids 75, 348-354 (2019). MSC: 74C99 74S40 74-10 PDFBibTeX XMLCite \textit{C. F. O. Dahlberg} and \textit{M. Ortiz}, Eur. J. Mech., A, Solids 75, 348--354 (2019; Zbl 1472.74035) Full Text: DOI
Ariza, Pilar; Conti, Sergio; Garroni, Adriana; Ortiz, Michael Variational modeling of dislocations in crystals in the line-tension limit. (English) Zbl 1402.82018 Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 583-598 (2018). MSC: 82D25 74N05 PDFBibTeX XMLCite \textit{P. Ariza} et al., in: European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18--22, 2016. Zürich: European Mathematical Society (EMS). 583--598 (2018; Zbl 1402.82018) Full Text: DOI
Li, Mingda; Cui, Wenping; Dresselhaus, Mildred S.; Chen, Gang Electron energy can oscillate near a crystal dislocation. (English) Zbl 1512.82036 New J. Phys. 19, No. 1, Article ID 013033, 12 p. (2017). MSC: 82D25 74N05 PDFBibTeX XMLCite \textit{M. Li} et al., New J. Phys. 19, No. 1, Article ID 013033, 12 p. (2017; Zbl 1512.82036) Full Text: DOI
Pouriayevali, Habib; Xu, Bai-Xiang A study of gradient strengthening based on a finite-deformation gradient crystal-plasticity model. (English) Zbl 1392.74018 Contin. Mech. Thermodyn. 29, No. 6, 1389-1412 (2017); erratum ibid. 29, No. 6, 1413–1414 (2017). MSC: 74C15 74N05 74S05 PDFBibTeX XMLCite \textit{H. Pouriayevali} and \textit{B.-X. Xu}, Contin. Mech. Thermodyn. 29, No. 6, 1389--1412 (2017; Zbl 1392.74018) Full Text: DOI arXiv
Erdle, Hannes; Böhlke, Thomas A gradient crystal plasticity theory for large deformations with a discontinuous accumulated plastic slip. (English) Zbl 1398.74048 Comput. Mech. 60, No. 6, 923-942 (2017). MSC: 74E15 74A60 74S05 74C15 74C10 PDFBibTeX XMLCite \textit{H. Erdle} and \textit{T. Böhlke}, Comput. Mech. 60, No. 6, 923--942 (2017; Zbl 1398.74048) Full Text: DOI
Fischle, Andreas; Neff, Patrizio; Raabe, Dierk The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments. (English) Zbl 1392.74009 Z. Angew. Math. Phys. 68, No. 4, Paper No. 90, 30 p. (2017). MSC: 74A35 74A30 74B20 74E15 74G65 82D25 PDFBibTeX XMLCite \textit{A. Fischle} et al., Z. Angew. Math. Phys. 68, No. 4, Paper No. 90, 30 p. (2017; Zbl 1392.74009) Full Text: DOI arXiv
Hudson, Thomas; Morandotti, Marco Properties of screw dislocation dynamics: time estimates on boundary and interior collisions. (English) Zbl 1426.74147 SIAM J. Appl. Math. 77, No. 5, 1678-1705 (2017). MSC: 74H10 37N15 74H05 82D25 PDFBibTeX XMLCite \textit{T. Hudson} and \textit{M. Morandotti}, SIAM J. Appl. Math. 77, No. 5, 1678--1705 (2017; Zbl 1426.74147) Full Text: DOI arXiv
Sun, Bohua Incompatible deformation field and Riemann curvature tensor. (English) Zbl 1365.74009 AMM, Appl. Math. Mech., Engl. Ed. 38, No. 3, 311-332 (2017); erratum ibid. 39, No. 8, 1217-1218 (2018). MSC: 74A05 70G45 53Z05 PDFBibTeX XMLCite \textit{B. Sun}, AMM, Appl. Math. Mech., Engl. Ed. 38, No. 3, 311--332 (2017; Zbl 1365.74009) Full Text: DOI
Hudson, T. Upscaling a model for the thermally-driven motion of screw dislocations. (English) Zbl 1367.82011 Arch. Ration. Mech. Anal. 224, No. 1, 291-352 (2017). Reviewer: Guy Jumarie (Montréal) MSC: 82D25 60F05 60J75 74A25 74E15 82B20 PDFBibTeX XMLCite \textit{T. Hudson}, Arch. Ration. Mech. Anal. 224, No. 1, 291--352 (2017; Zbl 1367.82011) Full Text: DOI arXiv
Fonseca, I.; Leoni, G.; Morini, M. Equilibria and dislocations in epitaxial growth. (English) Zbl 1364.82041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 88-121 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C24 82D37 74K35 82B24 49Q20 PDFBibTeX XMLCite \textit{I. Fonseca} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 88--121 (2017; Zbl 1364.82041) Full Text: DOI
Le, K. C.; Sembiring, P.; Tran, T. N. Continuum dislocation theory accounting for redundant dislocations and Taylor hardening. (English) Zbl 1423.74084 Int. J. Eng. Sci. 106, 155-167 (2016). MSC: 74A60 74E15 74C15 PDFBibTeX XMLCite \textit{K. C. Le} et al., Int. J. Eng. Sci. 106, 155--167 (2016; Zbl 1423.74084) Full Text: DOI arXiv
Waimann, Johanna; Junker, Philipp; Hackl, Klaus A coupled dissipation functional for modeling the functional fatigue in polycrystalline shape memory alloys. (English) Zbl 1406.74161 Eur. J. Mech., A, Solids 55, 110-121 (2016). MSC: 74E15 74N05 PDFBibTeX XMLCite \textit{J. Waimann} et al., Eur. J. Mech., A, Solids 55, 110--121 (2016; Zbl 1406.74161) Full Text: DOI
Michel, Jean-Claude; Suquet, Pierre A model-reduction approach to the micromechanical analysis of polycrystalline materials. (English) Zbl 1382.74095 Comput. Mech. 57, No. 3, 483-508 (2016). MSC: 74M25 74E15 PDFBibTeX XMLCite \textit{J.-C. Michel} and \textit{P. Suquet}, Comput. Mech. 57, No. 3, 483--508 (2016; Zbl 1382.74095) Full Text: DOI HAL
Conti, Sergio; Garroni, Adriana; Ortiz, Michael The line-tension approximation as the dilute limit of linear-elastic dislocations. (English) Zbl 1457.35079 Arch. Ration. Mech. Anal. 218, No. 2, 699-755 (2015). MSC: 35Q74 74B10 74N05 35B65 PDFBibTeX XMLCite \textit{S. Conti} et al., Arch. Ration. Mech. Anal. 218, No. 2, 699--755 (2015; Zbl 1457.35079) Full Text: DOI
Shi, Weichen A brief note on the self-balanced singular elastic field caused by an edge dislocation. (English) Zbl 1354.74083 Appl. Math. Comput. 226, 194-197 (2014). MSC: 74G70 PDFBibTeX XMLCite \textit{W. Shi}, Appl. Math. Comput. 226, 194--197 (2014; Zbl 1354.74083) Full Text: DOI
Zhu, Yichao; Chapman, Stephen Jonathan A natural transition between equilibrium patterns of dislocation dipoles. (English) Zbl 1305.74014 J. Elasticity 117, No. 1, 51-61 (2014). MSC: 74A60 74N15 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{S. J. Chapman}, J. Elasticity 117, No. 1, 51--61 (2014; Zbl 1305.74014) Full Text: DOI
Miehe, C.; Mauthe, S.; Hildebrand, F. E. Variational gradient plasticity at finite strains. III: Local-global updates and regularization techniques in multiplicative plasticity for single crystals. (English) Zbl 1295.74012 Comput. Methods Appl. Mech. Eng. 268, 735-762 (2014). MSC: 74C05 74N05 74N15 PDFBibTeX XMLCite \textit{C. Miehe} et al., Comput. Methods Appl. Mech. Eng. 268, 735--762 (2014; Zbl 1295.74012) Full Text: DOI
Hudson, Thomas; Ortner, Christoph Existence and stability of a screw dislocation under anti-plane deformation. (English) Zbl 1342.82146 Arch. Ration. Mech. Anal. 213, No. 3, 887-929 (2014). MSC: 82D25 74A25 74N05 PDFBibTeX XMLCite \textit{T. Hudson} and \textit{C. Ortner}, Arch. Ration. Mech. Anal. 213, No. 3, 887--929 (2014; Zbl 1342.82146) Full Text: DOI arXiv
Nadler, Ben Isotropic rate-dependent finite plasticity using the theory of material evolution. (English) Zbl 1307.74023 Acta Mech. 223, No. 11, 2425-2436 (2012). MSC: 74C10 74A05 PDFBibTeX XMLCite \textit{B. Nadler}, Acta Mech. 223, No. 11, 2425--2436 (2012; Zbl 1307.74023) Full Text: DOI
Lee, Myoung-Gyu; Han, Chung-Souk An explicit finite element approach with patch projection technique for strain gradient plasticity formulations. (English) Zbl 1366.74072 Comput. Mech. 49, No. 2, 171-183 (2012). MSC: 74S05 74C15 PDFBibTeX XMLCite \textit{M.-G. Lee} and \textit{C.-S. Han}, Comput. Mech. 49, No. 2, 171--183 (2012; Zbl 1366.74072) Full Text: DOI
Nadler, Ben; Epstein, Marcelo Slip-plane plasticity using the theory of material evolution. (English) Zbl 1269.74034 Math. Mech. Solids 16, No. 4, 381-392 (2011). MSC: 74C99 PDFBibTeX XMLCite \textit{B. Nadler} and \textit{M. Epstein}, Math. Mech. Solids 16, No. 4, 381--392 (2011; Zbl 1269.74034) Full Text: DOI
Gupta, A.; Steigmann, D. J.; Stölken, J. S. Aspects of the phenomenological theory of elastic-plastic deformation. (English) Zbl 1320.74027 J. Elasticity 104, No. 1-2, 249-266 (2011). MSC: 74C15 74E15 PDFBibTeX XMLCite \textit{A. Gupta} et al., J. Elasticity 104, No. 1--2, 249--266 (2011; Zbl 1320.74027) Full Text: DOI
Liu, Fang; Fu, Qiang; Chen, Cen; Liang, Naigang An elasto-plastic damage constitutive theory and its prediction of evolution of subsequent yield surfaces and elastic constants. (English) Zbl 1416.74021 Int. J. Plast. 27, No. 9, 1355-1383 (2011). MSC: 74C15 74R20 PDFBibTeX XMLCite \textit{F. Liu} et al., Int. J. Plast. 27, No. 9, 1355--1383 (2011; Zbl 1416.74021) Full Text: DOI Link
Lim, H.; Lee, M. G.; Kim, J. H.; Adams, B. L.; Wagoner, R. H. Simulation of polycrystal deformation with grain and grain boundary effects. (English) Zbl 1426.74133 Int. J. Plast. 27, No. 9, 1328-1354 (2011). MSC: 74F15 74E20 74A60 74S05 PDFBibTeX XMLCite \textit{H. Lim} et al., Int. J. Plast. 27, No. 9, 1328--1354 (2011; Zbl 1426.74133) Full Text: DOI
Segurado, Javier; LLorca, Javier Discrete dislocation dynamics analysis of the effect of lattice orientation on void growth in single crystals. (English) Zbl 1426.74102 Int. J. Plast. 26, No. 6, 806-819 (2010). MSC: 74E15 74M25 74C99 PDFBibTeX XMLCite \textit{J. Segurado} and \textit{J. LLorca}, Int. J. Plast. 26, No. 6, 806--819 (2010; Zbl 1426.74102) Full Text: DOI Link
Dingreville, Rémi; Battaile, Corbett C.; Brewer, Luke N.; Holm, Elizabeth A.; Boyce, Brad L. The effect of microstructural representation on simulations of microplastic ratcheting. (English) Zbl 1434.74037 Int. J. Plast. 26, No. 5, 617-633 (2010). MSC: 74C20 74S05 74M25 74R20 74-05 PDFBibTeX XMLCite \textit{R. Dingreville} et al., Int. J. Plast. 26, No. 5, 617--633 (2010; Zbl 1434.74037) Full Text: DOI
Shi, Z.; Feng, X.; Huang, Y.; Xiao, J.; Hwang, K. C. The equivalent axisymmetric model for Berkovich indenters in power-law hardening materials. (English) Zbl 1421.74079 Int. J. Plast. 26, No. 1, 141-148 (2010). MSC: 74M15 74S05 74C05 PDFBibTeX XMLCite \textit{Z. Shi} et al., Int. J. Plast. 26, No. 1, 141--148 (2010; Zbl 1421.74079) Full Text: DOI
Clayton, J. D. Modeling finite deformations in trigonal ceramic crystals with lattice defects. (English) Zbl 1431.74030 Int. J. Plast. 26, No. 9, 1357-1386 (2010). MSC: 74C99 74F05 74E15 PDFBibTeX XMLCite \textit{J. D. Clayton}, Int. J. Plast. 26, No. 9, 1357--1386 (2010; Zbl 1431.74030) Full Text: DOI
Horstemeyer, Mark F.; Bammann, Douglas J. Historical review of internal state variable theory for inelasticity. (English) Zbl 1431.74031 Int. J. Plast. 26, No. 9, 1310-1334 (2010). MSC: 74C99 PDFBibTeX XMLCite \textit{M. F. Horstemeyer} and \textit{D. J. Bammann}, Int. J. Plast. 26, No. 9, 1310--1334 (2010; Zbl 1431.74031) Full Text: DOI
Feng, Lu; Kang, Yilan; Zhang, Guang; Wang, Shibin Mechanism-based strain gradient Drucker-Prager elastoplasticity for pressure-sensitive materials. (English) Zbl 1196.74013 Int. J. Solids Struct. 47, No. 20, 2693-2705 (2010). MSC: 74C05 PDFBibTeX XMLCite \textit{L. Feng} et al., Int. J. Solids Struct. 47, No. 20, 2693--2705 (2010; Zbl 1196.74013) Full Text: DOI
Hütter, M. Viscoplasticity of metals: comments on statistical approaches to dislocation reactions. (English) Zbl 1425.74103 J. Non-Newton. Fluid Mech. 165, No. 17-18, 1014-1019 (2010). MSC: 74C10 74A25 82D35 PDFBibTeX XMLCite \textit{M. Hütter}, J. Non-Newton. Fluid Mech. 165, No. 17--18, 1014--1019 (2010; Zbl 1425.74103) Full Text: DOI
El Hajj, A. Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities. (English) Zbl 1184.35198 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 1, 21-35 (2010). MSC: 35L60 54C70 35L45 35Q74 74H20 74H25 PDFBibTeX XMLCite \textit{A. El Hajj}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 1, 21--35 (2010; Zbl 1184.35198) Full Text: DOI arXiv
Le, K. C.; Kochmann, D. M. A simple model for dynamic recrystallization during severe plastic deformation. (English) Zbl 1264.74029 Arch. Appl. Mech. 79, No. 6-7, 579-586 (2009). MSC: 74E15 74C99 74A60 PDFBibTeX XMLCite \textit{K. C. Le} and \textit{D. M. Kochmann}, Arch. Appl. Mech. 79, No. 6--7, 579--586 (2009; Zbl 1264.74029) Full Text: DOI
Clayton, J. D. A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire. (English) Zbl 1186.74029 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2101, 307-334 (2009). MSC: 74E15 74C05 74B20 PDFBibTeX XMLCite \textit{J. D. Clayton}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2101, 307--334 (2009; Zbl 1186.74029) Full Text: DOI
Liu, X. M.; Liu, Z. L.; You, X. C.; Nie, J. F.; Zhuang, Z. The stability of FCC crystal Cu under uniaxial loading in [001] direction. (English) Zbl 1168.82334 Mod. Phys. Lett. B 23, No. 15, 1871-1880 (2009). MSC: 82D25 PDFBibTeX XMLCite \textit{X. M. Liu} et al., Mod. Phys. Lett. B 23, No. 15, 1871--1880 (2009; Zbl 1168.82334) Full Text: DOI
Vinogradov, V.; Willis, J. R. The pair distribution function for an array of screw dislocations. (English) Zbl 1169.74332 Int. J. Solids Struct. 45, No. 13, 3726-3738 (2008). MSC: 74A60 74E15 PDFBibTeX XMLCite \textit{V. Vinogradov} and \textit{J. R. Willis}, Int. J. Solids Struct. 45, No. 13, 3726--3738 (2008; Zbl 1169.74332) Full Text: DOI
Hussein, M. I.; Borg, U.; Niordson, C. F.; Deshpande, V. S. Plasticity size effects in voided crystals. (English) Zbl 1162.74338 J. Mech. Phys. Solids 56, No. 1, 114-131 (2008). MSC: 74E15 74C99 PDFBibTeX XMLCite \textit{M. I. Hussein} et al., J. Mech. Phys. Solids 56, No. 1, 114--131 (2008; Zbl 1162.74338) Full Text: DOI
Shi, Z. F.; Huang, B.; Tan, H.; Huang, Y.; Zhang, T. Y.; Wu, P. D.; Hwang, K. C.; Gao, H. Determination of the microscale stress-strain curve and strain gradient effect from the micro-bend of ultra-thin beams. (English) Zbl 1140.74419 Int. J. Plast. 24, No. 9, 1606-1624 (2008). MSC: 74C99 74K10 PDFBibTeX XMLCite \textit{Z. F. Shi} et al., Int. J. Plast. 24, No. 9, 1606--1624 (2008; Zbl 1140.74419) Full Text: DOI
Counts, William A.; Braginsky, Michael V.; Battaile, Corbett C.; Holm, Elizabeth A. Predicting the Hall-Petch effect in fcc metals using non-local crystal plasticity. (English) Zbl 1154.74007 Int. J. Plast. 24, No. 7, 1243-1263 (2008). MSC: 74C99 74E15 74S05 PDFBibTeX XMLCite \textit{W. A. Counts} et al., Int. J. Plast. 24, No. 7, 1243--1263 (2008; Zbl 1154.74007) Full Text: DOI
Regueiro, R. A.; Dixit, P.; Garikipati, K. On standard and vector finite element analysis of a strict anti-plane shear plasticity model with elastic curvature. (English) Zbl 1173.74439 Comput. Methods Appl. Mech. Eng. 196, No. 25-28, 2692-2712 (2007). MSC: 74S05 74C15 PDFBibTeX XMLCite \textit{R. A. Regueiro} et al., Comput. Methods Appl. Mech. Eng. 196, No. 25--28, 2692--2712 (2007; Zbl 1173.74439) Full Text: DOI
Lefebvre, S.; Devincre, B.; Hoc, T. Yield stress strengthening in ultrafine-grained metals: a two-dimensional simulation of dislocation dynamics. (English) Zbl 1162.74421 J. Mech. Phys. Solids 55, No. 4, 788-802 (2007). MSC: 74M25 74C99 PDFBibTeX XMLCite \textit{S. Lefebvre} et al., J. Mech. Phys. Solids 55, No. 4, 788--802 (2007; Zbl 1162.74421) Full Text: DOI
Nicot, François; Darve, Félix On the elastic and plastic strain decomposition in granular materials. (English) Zbl 1200.74036 Granul. Matter 8, No. 3-4, 221-237 (2006). MSC: 74E20 74C05 PDFBibTeX XMLCite \textit{F. Nicot} and \textit{F. Darve}, Granul. Matter 8, No. 3--4, 221--237 (2006; Zbl 1200.74036) Full Text: DOI
Steinberg, Lev Mesoelastic deformation with strain singularities. (English) Zbl 1133.74003 Math. Mech. Solids 11, No. 4, 385-400 (2006). MSC: 74A20 74G70 PDFBibTeX XMLCite \textit{L. Steinberg}, Math. Mech. Solids 11, No. 4, 385--400 (2006; Zbl 1133.74003) Full Text: DOI
Nemat-Nasser, S.; Maximenko, A.; Olevsky, E. Modeling the plastic response of thin metal membranes. (English) Zbl 1120.74594 J. Mech. Phys. Solids 54, No. 11, 2474-2494 (2006). MSC: 74K15 74E15 74C99 PDFBibTeX XMLCite \textit{S. Nemat-Nasser} et al., J. Mech. Phys. Solids 54, No. 11, 2474--2494 (2006; Zbl 1120.74594) Full Text: DOI
Huang, Y.; Zhang, F.; Hwang, K. C.; Nix, W. D.; Pharr, G. M.; Feng, G. A model of size effects in nano-indentation. (English) Zbl 1120.74658 J. Mech. Phys. Solids 54, No. 8, 1668-1686 (2006). MSC: 74M15 74M25 74S05 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Mech. Phys. Solids 54, No. 8, 1668--1686 (2006; Zbl 1120.74658) Full Text: DOI
Sarkar, A.; Barat, P. Scaling behavior and complexity of the Portevin-Le Chatelier effect. (English) Zbl 1342.74034 Mod. Phys. Lett. B 20, No. 18, 1075-1092 (2006). MSC: 74C99 74R99 PDFBibTeX XMLCite \textit{A. Sarkar} and \textit{P. Barat}, Mod. Phys. Lett. B 20, No. 18, 1075--1092 (2006; Zbl 1342.74034) Full Text: DOI arXiv
Alvarez, Olivier; Hoch, Philippe; Bouar, Yann Le; Monneau, Régis Dislocation dynamics: Short-time existence and uniqueness of the solution. (English) Zbl 1158.74335 Arch. Ration. Mech. Anal. 181, No. 3, 449-504 (2006). MSC: 74E15 74A60 82D25 PDFBibTeX XMLCite \textit{O. Alvarez} et al., Arch. Ration. Mech. Anal. 181, No. 3, 449--504 (2006; Zbl 1158.74335) Full Text: DOI
Wen, Jie; Hwang, Keh-Chih; Huang, Yonggang Extension of the Gurson model accounting for the void size effect. (English) Zbl 1200.74018 Acta Mech. Sin. 21, No. 2, 142-150 (2005). MSC: 74C99 74F10 PDFBibTeX XMLCite \textit{J. Wen} et al., Acta Mech. Sin. 21, No. 2, 142--150 (2005; Zbl 1200.74018) Full Text: DOI
Han, Chung-Souk; Gao, Huajian; Huang, Yonggang; Nix, William D. Mechanism-based strain gradient crystal plasticity. I: Theory. (English) Zbl 1120.74356 J. Mech. Phys. Solids 53, No. 5, 1188-1203 (2005). MSC: 74C15 74E15 74A60 PDFBibTeX XMLCite \textit{C.-S. Han} et al., J. Mech. Phys. Solids 53, No. 5, 1188--1203 (2005; Zbl 1120.74356) Full Text: DOI
Clayton, J. D. Dynamic plasticity and fracture in high density polycrystals: constitutive modeling and numerical simulation. (English) Zbl 1101.74020 J. Mech. Phys. Solids 53, No. 2, 261-301 (2005). MSC: 74E15 74R20 74C10 74S05 74F05 PDFBibTeX XMLCite \textit{J. D. Clayton}, J. Mech. Phys. Solids 53, No. 2, 261--301 (2005; Zbl 1101.74020) Full Text: DOI
Buehler, Markus J.; Hartmaier, Alexander; Gao, Huajian; Duchaineau, Mark; Abraham, Farid F. Atomic plasticity: description and analysis of a one-billion atom simulation of ductile materials failure. (English) Zbl 1112.74480 Comput. Methods Appl. Mech. Eng. 193, No. 48-51, 5257-5282 (2004). MSC: 74R20 74S30 74A25 PDFBibTeX XMLCite \textit{M. J. Buehler} et al., Comput. Methods Appl. Mech. Eng. 193, No. 48--51, 5257--5282 (2004; Zbl 1112.74480) Full Text: DOI
Liu, B.; Qiu, X.; Huang, Y.; Hwang, K. C.; Li, M.; Liu, C. The size effect on void growth in ductile materials. (English) Zbl 1077.74514 J. Mech. Phys. Solids 51, No. 7, 1171-1187 (2003). MSC: 74A60 74C05 PDFBibTeX XMLCite \textit{B. Liu} et al., J. Mech. Phys. Solids 51, No. 7, 1171--1187 (2003; Zbl 1077.74514) Full Text: DOI
Kysar, Jeffrey W. Energy dissipation mechanisms in ductile fracture. (English) Zbl 1145.74409 J. Mech. Phys. Solids 51, No. 5, 795-824 (2003). MSC: 74R20 74M25 PDFBibTeX XMLCite \textit{J. W. Kysar}, J. Mech. Phys. Solids 51, No. 5, 795--824 (2003; Zbl 1145.74409) Full Text: DOI
Sasaki, Kazuaki; Kishida, Michiya; Ekida, Yutaka Stress analysis in continuous media with an edge dislocation by finite element dislocation model. (English) Zbl 1034.74047 Int. J. Numer. Methods Eng. 54, No. 5, 671-683 (2002). MSC: 74S05 74E05 PDFBibTeX XMLCite \textit{K. Sasaki} et al., Int. J. Numer. Methods Eng. 54, No. 5, 671--683 (2002; Zbl 1034.74047) Full Text: DOI
Rengarajan, G.; Reddy, J. N. On the inelastic behavior of crystalline silicon at elevated temperatures. (English) Zbl 1014.74018 J. Mech. Phys. Solids 49, No. 8, 1665-1700 (2001). MSC: 74E15 74C99 74M25 74F05 PDFBibTeX XMLCite \textit{G. Rengarajan} and \textit{J. N. Reddy}, J. Mech. Phys. Solids 49, No. 8, 1665--1700 (2001; Zbl 1014.74018) Full Text: DOI
Kysar, Jeffrey W. Continuum simulations of directional dependence of crack growth along a copper/sapphire bicrystal interface. I: Experiments and crystal plasticity background. II: Crack tip stress/deformation analysis. (English) Zbl 1162.74447 J. Mech. Phys. Solids 49, No. 5, 1099-1153 (2001). MSC: 74R20 74E15 74-05 PDFBibTeX XMLCite \textit{J. W. Kysar}, J. Mech. Phys. Solids 49, No. 5, 1099--1153 (2001; Zbl 1162.74447) Full Text: DOI
Jaswon, M. A.; El-Damanawi, K. E. K. The uniformly moving edge dislocation. (English) Zbl 0977.74004 ZAMM, Z. Angew. Math. Mech. 81, No. 2, 135-139 (2001). MSC: 74B05 74M25 PDFBibTeX XMLCite \textit{M. A. Jaswon} and \textit{K. E. K. El-Damanawi}, ZAMM, Z. Angew. Math. Mech. 81, No. 2, 135--139 (2001; Zbl 0977.74004) Full Text: DOI
Choksi, R.; del Piero, G.; Fonseca, I.; Owen, D. Structured deformations as energy minimizers in models of fracture and hystersis. (English) Zbl 1001.74566 Math. Mech. Solids 4, No. 3, 321-356 (1999). MSC: 74G65 49Q20 74G60 PDFBibTeX XMLCite \textit{R. Choksi} et al., Math. Mech. Solids 4, No. 3, 321--356 (1999; Zbl 1001.74566) Full Text: DOI
Youtsos, A. G.; Mura, T. Buckling of a rectangular plate under a self-equilibrating stress due to dislocations. (English) Zbl 0810.73019 Acta Mech. 104, No. 1-2, 97-103 (1994). MSC: 74G60 74K20 PDFBibTeX XMLCite \textit{A. G. Youtsos} and \textit{T. Mura}, Acta Mech. 104, No. 1--2, 97--103 (1994; Zbl 0810.73019) Full Text: DOI
Naghdi, P. M.; Srinivasa, A. R. Some general results in the theory of crystallographic slip. (English) Zbl 0812.73009 Z. Angew. Math. Phys. 45, No. 5, 687-732 (1994). Reviewer: E.Syrkin (Khar’kov) MSC: 74E10 74A60 74M25 82D25 PDFBibTeX XMLCite \textit{P. M. Naghdi} and \textit{A. R. Srinivasa}, Z. Angew. Math. Phys. 45, No. 5, 687--732 (1994; Zbl 0812.73009) Full Text: DOI
Fonseca, Irene; Parry, Gareth Equilibrium configurations of defective crystals. (English) Zbl 0785.73007 Arch. Ration. Mech. Anal. 120, No. 3, 245-283 (1992). Reviewer: G.Capriz (Pisa) MSC: 74E10 74A60 74M25 74S30 74P10 PDFBibTeX XMLCite \textit{I. Fonseca} and \textit{G. Parry}, Arch. Ration. Mech. Anal. 120, No. 3, 245--283 (1992; Zbl 0785.73007) Full Text: DOI
Naghdi, P. M. A critical review of the state of finite plasticity. (English) Zbl 0712.73032 Z. Angew. Math. Phys. 41, No. 3, 315-394 (1990). MSC: 74C15 74C20 74C99 74A20 PDFBibTeX XMLCite \textit{P. M. Naghdi}, Z. Angew. Math. Phys. 41, No. 3, 315--394 (1990; Zbl 0712.73032) Full Text: DOI
Davini, Cesare A proposal for a continuum theory of defective crystals. (English) Zbl 0623.73002 Arch. Ration. Mech. Anal. 96, 295-317 (1986). Reviewer: P.P.Teodorescu MSC: 74Axx 74A60 74M25 74A99 74A20 82D25 PDFBibTeX XMLCite \textit{C. Davini}, Arch. Ration. Mech. Anal. 96, 295--317 (1986; Zbl 0623.73002) Full Text: DOI