Santos-Güemes, R.; Segurado, J.; LLorca, J. A generalized line tension model for precipitate strengthening in metallic alloys. (English) Zbl 1483.74010 Eur. J. Mech., A, Solids 93, Article ID 104540, 14 p. (2022). MSC: 74A60 74A40 PDF BibTeX XML Cite \textit{R. Santos-Güemes} et al., Eur. J. Mech., A, Solids 93, Article ID 104540, 14 p. (2022; Zbl 1483.74010) Full Text: DOI arXiv OpenURL
Xu, Shuozhi; Cheng, Justin Y.; Li, Zezhou; Mara, Nathan A.; Beyerlein, Irene J. Phase-field modeling of the interactions between an edge dislocation and an array of obstacles. (English) Zbl 07464527 Comput. Methods Appl. Mech. Eng. 389, Article ID 114426, 27 p. (2022). MSC: 82-XX 74-XX PDF BibTeX XML Cite \textit{S. Xu} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114426, 27 p. (2022; Zbl 07464527) Full Text: DOI OpenURL
Qin, Xiaoxue; Zhang, Luchan; Xiang, Yang A three-dimensional continuum simulation method for grain boundary motion incorporating dislocation structure. (English) Zbl 07435296 J. Sci. Comput. 90, No. 1, Paper No. 3, 26 p. (2022). MSC: 65Mxx 35Qxx 74Axx PDF BibTeX XML Cite \textit{X. Qin} et al., J. Sci. Comput. 90, No. 1, Paper No. 3, 26 p. (2022; Zbl 07435296) Full Text: DOI arXiv OpenURL
De Luca, L.; Kubin, A.; Ponsiglione, M. The core-radius approach to supercritical fractional perimeters, curvatures and geometric flows. (English) Zbl 1476.35091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112585, 48 p. (2022). MSC: 35D40 49J45 35K93 35R11 35Q74 35B40 PDF BibTeX XML Cite \textit{L. De Luca} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 214, Article ID 112585, 48 p. (2022; Zbl 1476.35091) Full Text: DOI OpenURL
Choi, Seung Tae; Mai, Nghia Trong; Nguyen, Vinh Phu Dislocation nucleation and segregation under adhesive contact of a nano-asperity coating on a crystalline solid. (English) Zbl 1484.74012 Eur. J. Mech., A, Solids 89, Article ID 104311, 15 p. (2021). MSC: 74E15 74M15 74A25 PDF BibTeX XML Cite \textit{S. T. Choi} et al., Eur. J. Mech., A, Solids 89, Article ID 104311, 15 p. (2021; Zbl 1484.74012) Full Text: DOI OpenURL
Huang, Yuanjie Electric features of dislocations and electric force between dislocations. (English) Zbl 07357419 Math. Mech. Solids 26, No. 4, 616-628 (2021). MSC: 74-XX PDF BibTeX XML Cite \textit{Y. Huang}, Math. Mech. Solids 26, No. 4, 616--628 (2021; Zbl 07357419) Full Text: DOI OpenURL
Fonseca, Irene; Ginster, Janusz; Wojtowytsch, Stephan On the motion of curved dislocations in three dimensions: simplified linearized elasticity. (English) Zbl 1468.35198 SIAM J. Math. Anal. 53, No. 2, 2373-2426 (2021). MSC: 35Q74 35K93 74N05 74B10 35C20 PDF BibTeX XML Cite \textit{I. Fonseca} et al., SIAM J. Math. Anal. 53, No. 2, 2373--2426 (2021; Zbl 1468.35198) Full Text: DOI arXiv OpenURL
El Hajj, A.; Oussaily, A. Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities. (English) Zbl 1462.35332 J. Nonlinear Sci. 31, No. 1, Paper No. 20, 41 p. (2021). MSC: 35Q53 49L25 35F21 35F25 35L40 35L45 35A01 35A02 74H20 74H25 PDF BibTeX XML Cite \textit{A. El Hajj} and \textit{A. Oussaily}, J. Nonlinear Sci. 31, No. 1, Paper No. 20, 41 p. (2021; Zbl 1462.35332) Full Text: DOI OpenURL
Patrizi, Stefania; Sangsawang, Tharathep From the Peierls-Nabarro model to the equation of motion of the dislocation continuum. (English) Zbl 1451.82057 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112096, 50 p. (2021). MSC: 82D25 35R09 74E15 35R11 47G20 PDF BibTeX XML Cite \textit{S. Patrizi} and \textit{T. Sangsawang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 202, Article ID 112096, 50 p. (2021; Zbl 1451.82057) Full Text: DOI arXiv OpenURL
Starkey, Kyle; Winther, Grethe; El-Azab, Anter Theoretical development of continuum dislocation dynamics for finite-deformation crystal plasticity at the mesoscale. (English) Zbl 1477.74088 J. Mech. Phys. Solids 139, Article ID 103926, 27 p. (2020). MSC: 74N05 74A45 74C99 PDF BibTeX XML Cite \textit{K. Starkey} et al., J. Mech. Phys. Solids 139, Article ID 103926, 27 p. (2020; Zbl 1477.74088) Full Text: DOI OpenURL
Morozov, V. A.; Bogatko, V. I.; Yakovlev, A. B. On the mathematical modeling of loading high-speed material at the department of physical mechanics, St. Petersburg state university. (English. Russian original) Zbl 1457.74177 Vestn. St. Petersbg. Univ., Math. 53, No. 4, 450-458 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 699-713 (2020). MSC: 74R15 74R20 74J40 74-02 PDF BibTeX XML Cite \textit{V. A. Morozov} et al., Vestn. St. Petersbg. Univ., Math. 53, No. 4, 450--458 (2020; Zbl 1457.74177); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 699--713 (2020) Full Text: DOI OpenURL
Sui, Dan; Huber, John E. Modelling and interaction of needle domains in barium titanate single crystals. (English) Zbl 1483.74022 Eur. J. Mech., A, Solids 80, Article ID 103919, 13 p. (2020). MSC: 74E15 74F15 74A60 PDF BibTeX XML Cite \textit{D. Sui} and \textit{J. E. Huber}, Eur. J. Mech., A, Solids 80, Article ID 103919, 13 p. (2020; Zbl 1483.74022) Full Text: DOI Link OpenURL
Cui, Yinan; Po, Giacomo; Pellegrini, Yves-Patrick; Lazar, Markus; Ghoniem, Nasr Computational 3-dimensional dislocation elastodynamics. (English) Zbl 1477.74037 J. Mech. Phys. Solids 126, 20-51 (2019). MSC: 74H15 PDF BibTeX XML Cite \textit{Y. Cui} et al., J. Mech. Phys. Solids 126, 20--51 (2019; Zbl 1477.74037) Full Text: DOI OpenURL
Yuan, Cheng; Yang, Jerry Zhijian; Li, Xiantao An effective and easy-to-implement boundary condition for molecular dynamics simulations. (English) Zbl 07418016 Commun. Comput. Phys. 26, No. 1, 192-205 (2019). MSC: 65L05 70F99 PDF BibTeX XML Cite \textit{C. Yuan} et al., Commun. Comput. Phys. 26, No. 1, 192--205 (2019; Zbl 07418016) Full Text: DOI OpenURL
Bormann, F.; Peerlings, R. H. J.; Geers, M. G. D. On the competition between dislocation transmission and crack nucleation at phase boundaries. (English) Zbl 1473.74107 Eur. J. Mech., A, Solids 78, Article ID 103842, 13 p. (2019). MSC: 74N20 74A60 74A45 74S05 PDF BibTeX XML Cite \textit{F. Bormann} et al., Eur. J. Mech., A, Solids 78, Article ID 103842, 13 p. (2019; Zbl 1473.74107) Full Text: DOI arXiv OpenURL
Bertin, N.; Capolungo, L. A FFT-based formulation for discrete dislocation dynamics in heterogeneous media. (English) Zbl 1380.74116 J. Comput. Phys. 355, 366-384 (2018). MSC: 74S30 74E05 65Y05 65Y10 PDF BibTeX XML Cite \textit{N. Bertin} and \textit{L. Capolungo}, J. Comput. Phys. 355, 366--384 (2018; Zbl 1380.74116) Full Text: DOI OpenURL
El Hajj, Ahmad; Ibrahim, Hassan; Rizik, Vivian Global \(BV\) solution for a non-local coupled system modeling the dynamics of dislocation densities. (English) Zbl 1378.35265 J. Differ. Equations 264, No. 3, 1750-1785 (2018). MSC: 35Q53 49L25 35F25 35L40 35L45 65M06 65M12 65M15 74H20 74H25 35F21 35Q74 74B20 PDF BibTeX XML Cite \textit{A. El Hajj} et al., J. Differ. Equations 264, No. 3, 1750--1785 (2018; Zbl 1378.35265) Full Text: DOI OpenURL
Pan, X.; Hu, W.; Wu, C. T. A generalized approach for solution to image stresses of dislocations. (English) Zbl 1442.74151 J. Mech. Phys. Solids 103, 3-21 (2017). MSC: 74N05 74R99 74S05 PDF BibTeX XML Cite \textit{X. Pan} et al., J. Mech. Phys. Solids 103, 3--21 (2017; Zbl 1442.74151) Full Text: DOI OpenURL
Patrizi, Stefania; Valdinoci, Enrico Long-time behavior for crystal dislocation dynamics. (English) Zbl 1377.82040 Math. Models Methods Appl. Sci. 27, No. 12, 2185-2228 (2017). MSC: 82D25 35R09 74E15 35R11 47G20 82C22 PDF BibTeX XML Cite \textit{S. Patrizi} and \textit{E. Valdinoci}, Math. Models Methods Appl. Sci. 27, No. 12, 2185--2228 (2017; Zbl 1377.82040) Full Text: DOI arXiv OpenURL
Kudryashov, Nikolay A. Analytical properties of nonlinear dislocation equation. (English) Zbl 1376.82102 Appl. Math. Lett. 69, 29-34 (2017). MSC: 82D25 82D20 37K60 37K10 PDF BibTeX XML Cite \textit{N. A. Kudryashov}, Appl. Math. Lett. 69, 29--34 (2017; Zbl 1376.82102) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. Hudson} and \textit{M. Morandotti}, SIAM J. Appl. Math. 77, No. 5, 1678--1705 (2017; Zbl 1426.74147) Full Text: DOI arXiv OpenURL
Buffoni, Boris; Schwetlick, Hartmut; Zimmer, Johannes Travelling waves for a Frenkel-Kontorova chain. (English) Zbl 1406.37056 J. Differ. Equations 263, No. 4, 2317-2342 (2017). MSC: 37K60 35B10 35J05 35C07 70H05 PDF BibTeX XML Cite \textit{B. Buffoni} et al., J. Differ. Equations 263, No. 4, 2317--2342 (2017; Zbl 1406.37056) Full Text: DOI arXiv OpenURL
Lazar, Markus; Pellegrini, Yves-Patrick Distributional and regularized radiation fields of non-uniformly moving straight dislocations, and elastodynamic Tamm problem. (English) Zbl 1482.74078 J. Mech. Phys. Solids 96, 632-659 (2016). MSC: 74H05 74E15 PDF BibTeX XML Cite \textit{M. Lazar} and \textit{Y.-P. Pellegrini}, J. Mech. Phys. Solids 96, 632--659 (2016; Zbl 1482.74078) Full Text: DOI OpenURL
Monavari, Mehran; Sandfeld, Stefan; Zaiser, Michael Continuum representation of systems of dislocation lines: a general method for deriving closed-form evolution equations. (English) Zbl 1482.74019 J. Mech. Phys. Solids 95, 575-601 (2016). MSC: 74A45 PDF BibTeX XML Cite \textit{M. Monavari} et al., J. Mech. Phys. Solids 95, 575--601 (2016; Zbl 1482.74019) Full Text: DOI OpenURL
Aubry, S.; Rhee, M.; Hommes, G.; Bulatov, V. V.; Arsenlis, A. Dislocation dynamics in hexagonal close-packed crystals. (English) Zbl 1482.74133 J. Mech. Phys. Solids 94, 105-126 (2016). MSC: 74N05 74A45 PDF BibTeX XML Cite \textit{S. Aubry} et al., J. Mech. Phys. Solids 94, 105--126 (2016; Zbl 1482.74133) Full Text: DOI OpenURL
Cacace, Simone; Camilli, Fabio A generalized Newton method for homogenization of Hamilton-Jacobi equations. (English) Zbl 1354.65129 SIAM J. Sci. Comput. 38, No. 6, A3589-A3617 (2016). MSC: 65K10 35F21 35B27 49M15 49J20 PDF BibTeX XML Cite \textit{S. Cacace} and \textit{F. Camilli}, SIAM J. Sci. Comput. 38, No. 6, A3589--A3617 (2016; Zbl 1354.65129) Full Text: DOI OpenURL
Pauš, Petr; Yazaki, Shigetoshi Exact solution for dislocation bowing and a posteriori numerical technique for dislocation touching-splitting. (English) Zbl 1461.35143 JSIAM Lett. 7, 57-60 (2015). MSC: 35K93 35C05 35K55 65N08 53E10 PDF BibTeX XML Cite \textit{P. Pauš} and \textit{S. Yazaki}, JSIAM Lett. 7, 57--60 (2015; Zbl 1461.35143) Full Text: DOI OpenURL
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Madeo, Angela; Placidi, Luca; Rosi, Giuseppe The relaxed linear micromorphic continuum: existence, uniqueness and continuous dependence in dynamics. (English) Zbl 1338.74007 Math. Mech. Solids 20, No. 10, 1171-1197 (2015). MSC: 74A60 35Q74 PDF BibTeX XML Cite \textit{I.-D. Ghiba} et al., Math. Mech. Solids 20, No. 10, 1171--1197 (2015; Zbl 1338.74007) Full Text: DOI arXiv OpenURL
Boudjerada, R.; El Hajj, A. Global existence results for eikonal equation with \(BV\) initial data. (English) Zbl 1327.35066 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 947-978 (2015). MSC: 35F25 35A01 74G25 35F21 70H20 35Q74 PDF BibTeX XML Cite \textit{R. Boudjerada} and \textit{A. El Hajj}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 947--978 (2015; Zbl 1327.35066) Full Text: DOI OpenURL
Blass, T.; Fonseca, I.; Leoni, G.; Morandotti, M. Dynamics for systems of screw dislocations. (English) Zbl 1322.34059 SIAM J. Appl. Math. 75, No. 2, 393-419 (2015). Reviewer: Aurelian Cernea (Bucharest) MSC: 34C60 34A60 82D25 74A25 PDF BibTeX XML Cite \textit{T. Blass} et al., SIAM J. Appl. Math. 75, No. 2, 393--419 (2015; Zbl 1322.34059) Full Text: DOI arXiv OpenURL
Ibrahim, H.; Zabad, S. Existence of viscosity solution for a singular Hamilton-Jacobi equation. (English) Zbl 1308.70030 Arab J. Math. Sci. 21, No. 1, 98-108 (2015). MSC: 70H20 35L65 49L25 54C70 74H20 74H25 PDF BibTeX XML Cite \textit{H. Ibrahim} and \textit{S. Zabad}, Arab J. Math. Sci. 21, No. 1, 98--108 (2015; Zbl 1308.70030) Full Text: DOI OpenURL
Ferroni, Francesco; Tarleton, Edmund; Fitzgerald, Steven GPU accelerated dislocation dynamics. (English) Zbl 1349.82157 J. Comput. Phys. 272, 619-628 (2014). MSC: 82D25 82C80 65Y10 PDF BibTeX XML Cite \textit{F. Ferroni} et al., J. Comput. Phys. 272, 619--628 (2014; Zbl 1349.82157) Full Text: DOI OpenURL
Neff, Patrizio; Ghiba, Ionel-Dumitrel; Madeo, Angela A unifying perspective: the relaxed linear micromorphic continuum. (English) Zbl 1341.74135 Contin. Mech. Thermodyn. 26, No. 5, 639-681 (2014). MSC: 74N15 74M25 PDF BibTeX XML Cite \textit{P. Neff} et al., Contin. Mech. Thermodyn. 26, No. 5, 639--681 (2014; Zbl 1341.74135) Full Text: DOI arXiv OpenURL
Zhu, Xiaohong; Xiang, Yang Continuum framework for dislocation structure, energy and dynamics of dislocation arrays and low angle grain boundaries. (English) Zbl 1328.74011 J. Mech. Phys. Solids 69, 175-194 (2014). MSC: 74A45 PDF BibTeX XML Cite \textit{X. Zhu} and \textit{Y. Xiang}, J. Mech. Phys. Solids 69, 175--194 (2014; Zbl 1328.74011) Full Text: DOI OpenURL
Reina, Celia; Marian, Jaime Slip-induced conservation laws for dislocation structures in the finite kinematic framework. (English) Zbl 1328.74013 J. Mech. Phys. Solids 69, 123-131 (2014). MSC: 74A50 74A05 74E15 PDF BibTeX XML Cite \textit{C. Reina} and \textit{J. Marian}, J. Mech. Phys. Solids 69, 123--131 (2014; Zbl 1328.74013) Full Text: DOI OpenURL
Po, Giacomo; Lazar, Markus; Seif, Dariush; Ghoniem, Nasr Singularity-free dislocation dynamics with strain gradient elasticity. (English) Zbl 1328.74016 J. Mech. Phys. Solids 68, 161-178 (2014). MSC: 74B20 74Rxx PDF BibTeX XML Cite \textit{G. Po} et al., J. Mech. Phys. Solids 68, 161--178 (2014; Zbl 1328.74016) Full Text: DOI OpenURL
Po, Giacomo; Ghoniem, Nasr A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion. (English) Zbl 1323.82050 J. Mech. Phys. Solids 66, 103-116 (2014). MSC: 82D25 74F05 PDF BibTeX XML Cite \textit{G. Po} and \textit{N. Ghoniem}, J. Mech. Phys. Solids 66, 103--116 (2014; Zbl 1323.82050) Full Text: DOI OpenURL
Ibrahim, H.; Monneau, R. Reduced ODE dynamics as formal relativistic asymptotics of a Peierls-Nabarro model. (English) Zbl 1311.82047 Eur. J. Appl. Math. 25, No. 4, 511-529 (2014). MSC: 82D25 82C24 PDF BibTeX XML Cite \textit{H. Ibrahim} and \textit{R. Monneau}, Eur. J. Appl. Math. 25, No. 4, 511--529 (2014; Zbl 1311.82047) Full Text: DOI OpenURL
Dipierro, Serena; Figalli, Alessio; Valdinoci, Enrico Strongly nonlocal dislocation dynamics in crystals. (English) Zbl 1304.35731 Commun. Partial Differ. Equations 39, No. 12, 2351-2387 (2014). MSC: 35R09 35Q74 35B65 35B05 35B40 35J25 35D30 35G25 PDF BibTeX XML Cite \textit{S. Dipierro} et al., Commun. Partial Differ. Equations 39, No. 12, 2351--2387 (2014; Zbl 1304.35731) Full Text: DOI arXiv OpenURL
van Zwieten, G. J.; van Brummelen, E. H.; van der Zee, K. G.; Gutiérrez, M. A.; Hanssen, R. F. Discontinuities without discontinuity: the weakly-enforced slip method. (English) Zbl 1296.86008 Comput. Methods Appl. Mech. Eng. 271, 144-166 (2014). MSC: 86A17 74L10 74S05 65N30 74L05 PDF BibTeX XML Cite \textit{G. J. van Zwieten} et al., Comput. Methods Appl. Mech. Eng. 271, 144--166 (2014; Zbl 1296.86008) Full Text: DOI arXiv OpenURL
Li, Dong; Miao, Changxing; Xue, Liutang On the well-posedness of a 2D nonlinear and nonlocal system arising from the dislocation dynamics. (English) Zbl 1292.35165 Commun. Contemp. Math. 16, No. 2, Article ID 1350021, 36 p. (2014). MSC: 35L45 35Q74 74H20 74H25 35B50 35R09 35S11 PDF BibTeX XML Cite \textit{D. Li} et al., Commun. Contemp. Math. 16, No. 2, Article ID 1350021, 36 p. (2014; Zbl 1292.35165) Full Text: DOI arXiv OpenURL
Wang, Hanquan; Xiang, Yang An adaptive level set method based on two-level uniform meshes and its application to dislocation dynamics. (English) Zbl 1352.74474 Int. J. Numer. Methods Eng. 94, No. 6, 573-597 (2013). MSC: 74S20 65M06 65D18 74A05 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Xiang}, Int. J. Numer. Methods Eng. 94, No. 6, 573--597 (2013; Zbl 1352.74474) Full Text: DOI OpenURL
Rosakis, Phoebus; Vainchtein, Anna New solutions for slow moving kinks in a forced Frenkel-Kontorova chain. (English) Zbl 1339.37079 J. Nonlinear Sci. 23, No. 6, 1089-1110 (2013). MSC: 37K60 35C07 74J30 37M05 PDF BibTeX XML Cite \textit{P. Rosakis} and \textit{A. Vainchtein}, J. Nonlinear Sci. 23, No. 6, 1089--1110 (2013; Zbl 1339.37079) Full Text: DOI arXiv OpenURL
Gremaud, Gérard Eulerian theory of deformable environments. Problems of dislocation and straightening in solids. (Théorie eulérienne des milieux déformables. Charges de dislocation et désinclinaison dans les solides.) (French) Zbl 1293.74003 Lausanne: Presses Polytechniques et Universitaires Romandes (PPUR) (ISBN 978-2-88074-964-4/pbk). xxii, 751 p. (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 74-02 76-02 74E15 PDF BibTeX XML Cite \textit{G. Gremaud}, Théorie eulérienne des milieux déformables. Charges de dislocation et désinclinaison dans les solides. Lausanne: Presses Polytechniques et Universitaires Romandes (PPUR) (2013; Zbl 1293.74003) OpenURL
Xiang, Yang; Zhu, Xiaohong A continuum model for the dynamics of dislocation arrays. (English) Zbl 1282.35375 Commun. Math. Sci. 10, No. 4, 1081-1103 (2012). MSC: 35Q74 74A10 74A50 PDF BibTeX XML Cite \textit{Y. Xiang} and \textit{X. Zhu}, Commun. Math. Sci. 10, No. 4, 1081--1103 (2012; Zbl 1282.35375) Full Text: DOI Link OpenURL
Pauš, Petr; Beneš, Michal; Kratochvíl, Jan Simulation of dislocation cross-slip. (English) Zbl 1358.74038 RIMS Kôkyûroku Bessatsu B35, 23-29 (2012). MSC: 74N05 74E15 PDF BibTeX XML Cite \textit{P. Pauš} et al., RIMS Kôkyûroku Bessatsu B35, 23--29 (2012; Zbl 1358.74038) OpenURL
Monneau, Régis; Patrizi, Stefania Derivation of Orowan’s law from the Peierls-Nabarro model. (English) Zbl 1255.35215 Commun. Partial Differ. Equations 37, No. 10-12, 1887-1911 (2012). MSC: 35R09 35B10 35B27 35Q74 74G70 PDF BibTeX XML Cite \textit{R. Monneau} and \textit{S. Patrizi}, Commun. Partial Differ. Equations 37, No. 10--12, 1887--1911 (2012; Zbl 1255.35215) Full Text: DOI arXiv OpenURL
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis Uniqueness and existence of spirals moving by forced mean curvature motion. (English) Zbl 1273.35164 Interfaces Free Bound. 14, No. 3, 365-400 (2012). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K59 35K65 35D40 53C44 35B51 PDF BibTeX XML Cite \textit{N. Forcadel} et al., Interfaces Free Bound. 14, No. 3, 365--400 (2012; Zbl 1273.35164) Full Text: DOI arXiv OpenURL
Cacace, S.; Chambolle, A.; Monneau, R. A posteriori error estimates for the effective Hamiltonian of dislocation dynamics. (English) Zbl 1248.65097 Numer. Math. 121, No. 2, 281-335 (2012). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 65M06 35F21 49L25 65M12 PDF BibTeX XML Cite \textit{S. Cacace} et al., Numer. Math. 121, No. 2, 281--335 (2012; Zbl 1248.65097) Full Text: DOI Link OpenURL
Lazar, M. On the fundamentals of the three-dimensional translation gauge theory of dislocations. (English) Zbl 1269.74011 Math. Mech. Solids 16, No. 3, 253-264 (2011). MSC: 74A60 PDF BibTeX XML Cite \textit{M. Lazar}, Math. Mech. Solids 16, No. 3, 253--264 (2011; Zbl 1269.74011) Full Text: DOI arXiv OpenURL
Siu, K. W.; Ngan, A. H. W.; Jones, I. P. New insight on acoustoplasticity - Ultrasonic irradiation enhances subgrain formation during deformation. (English) Zbl 1426.74020 Int. J. Plast. 27, No. 5, 788-800 (2011). MSC: 74-05 74C99 74J20 PDF BibTeX XML Cite \textit{K. W. Siu} et al., Int. J. Plast. 27, No. 5, 788--800 (2011; Zbl 1426.74020) Full Text: DOI OpenURL
El-Awady, Jaafar A.; Rao, Satish I.; Woodward, Christopher; Dimiduk, Dennis M.; Uchic, Michael D. Trapping and escape of dislocations in micro-crystals with external and internal barriers. (English) Zbl 1426.74099 Int. J. Plast. 27, No. 3, 372-387 (2011). MSC: 74E15 74A60 74S15 74S30 PDF BibTeX XML Cite \textit{J. A. El-Awady} et al., Int. J. Plast. 27, No. 3, 372--387 (2011; Zbl 1426.74099) Full Text: DOI OpenURL
Fan, Haidong; Li, Zhenhuan; Huang, Minsheng; Zhang, Xiong Thickness effects in polycrystalline thin films: surface constraint versus interior constraint. (English) Zbl 1236.74186 Int. J. Solids Struct. 48, No. 11-12, 1754-1766 (2011). MSC: 74K35 74E15 PDF BibTeX XML Cite \textit{H. Fan} et al., Int. J. Solids Struct. 48, No. 11--12, 1754--1766 (2011; Zbl 1236.74186) Full Text: DOI OpenURL
Carlini, Elisabetta; Forcadel, Nicolas; Monneau, Régis A generalized fast marching method for dislocation dynamics. (English) Zbl 1233.82044 SIAM J. Numer. Anal. 49, No. 6, 2470-2500 (2011). MSC: 82D25 82D35 65M06 65M12 49L25 82-08 PDF BibTeX XML Cite \textit{E. Carlini} et al., SIAM J. Numer. Anal. 49, No. 6, 2470--2500 (2011; Zbl 1233.82044) Full Text: DOI Link OpenURL
Lazar, Markus The gauge theory of dislocations: a nonuniformly moving screw dislocation. (English) Zbl 1248.82033 Phys. Lett., A 374, No. 30, 3092-3098 (2010). MSC: 82C44 70S15 78A50 PDF BibTeX XML Cite \textit{M. Lazar}, Phys. Lett., A 374, No. 30, 3092--3098 (2010; Zbl 1248.82033) Full Text: DOI arXiv OpenURL
Akarapu, S.; Zbib, H. M.; Bahr, D. F. Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression. (English) Zbl 1426.74098 Int. J. Plast. 26, No. 2, 239-257 (2010). MSC: 74E15 74A60 74C99 PDF BibTeX XML Cite \textit{S. Akarapu} et al., Int. J. Plast. 26, No. 2, 239--257 (2010; Zbl 1426.74098) Full Text: DOI OpenURL
Ahmed, Naveed; Hartmaier, Alexander A two-dimensional dislocation dynamics model of the plastic deformation of polycrystalline metals. (English) Zbl 1225.74023 J. Mech. Phys. Solids 58, No. 12, 2054-2064 (2010). MSC: 74E15 74A60 74C99 PDF BibTeX XML Cite \textit{N. Ahmed} and \textit{A. Hartmaier}, J. Mech. Phys. Solids 58, No. 12, 2054--2064 (2010; Zbl 1225.74023) Full Text: DOI OpenURL
Yip, Sidney Multiscale materials. (English) Zbl 1218.65006 Fish, Jacob (ed.), Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press (ISBN 978-0-19-923385-4/hbk). 481-513 (2010). MSC: 65C20 PDF BibTeX XML Cite \textit{S. Yip}, in: Multiscale methods. Bridging the scales in science and engineering. Oxford: Oxford University Press. 481--513 (2010; Zbl 1218.65006) Full Text: DOI OpenURL
Pauš, Petr; Beneš, Michal; Kratochvíl, Jan Discrete dislocation dynamics and mean curvature flow. (English) Zbl 1216.82054 Kreiss, Gunilla (ed.) et al., Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29–July 3, 2009. Berlin: Springer (ISBN 978-3-642-11794-7/hbk; 978-3-642-11795-4/ebook). 721-728 (2010). MSC: 82D20 82B20 82-08 PDF BibTeX XML Cite \textit{P. Pauš} et al., in: Numerical mathematics and advanced applications 2009. Proceedings of ENUMATH 2009, the 8th European conference on numerical mathematics and advanced applications, Uppsala, Sweden, June 29--July 3, 2009. Berlin: Springer. 721--728 (2010; Zbl 1216.82054) Full Text: DOI OpenURL
Fish, Jacob; Li, Aiqin; Yavari, Fazel Adaptive generalized mathematical homogenization framework for nanostructured materials. (English) Zbl 1197.74083 Int. J. Numer. Methods Eng. 83, No. 8-9, 1133-1154 (2010). MSC: 74Q05 74M25 74A25 PDF BibTeX XML Cite \textit{J. Fish} et al., Int. J. Numer. Methods Eng. 83, No. 8--9, 1133--1154 (2010; Zbl 1197.74083) Full Text: DOI OpenURL
Li, Shaofan; Sheng, Ni On multiscale non-equilibrium molecular dynamics simulations. (English) Zbl 1197.82023 Int. J. Numer. Methods Eng. 83, No. 8-9, 998-1038 (2010). MSC: 82-08 82C21 PDF BibTeX XML Cite \textit{S. Li} and \textit{N. Sheng}, Int. J. Numer. Methods Eng. 83, No. 8--9, 998--1038 (2010; Zbl 1197.82023) Full Text: DOI OpenURL
Monteillet, Aurélien Convergence of approximation schemes for nonlocal front propagation equations. (English) Zbl 1208.65138 Math. Comput. 79, No. 269, 125-146 (2010). Reviewer: Yaşar Sözen (Istanbul) MSC: 65M12 70H20 49L25 35F21 65M55 PDF BibTeX XML Cite \textit{A. Monteillet}, Math. Comput. 79, No. 269, 125--146 (2010; Zbl 1208.65138) Full Text: DOI OpenURL
Rittel, D.; Osovski, S. Dynamic failure by adiabatic shear banding. (English) Zbl 1425.74015 Int. J. Fract. 162, No. 1-2, 177-185 (2010). MSC: 74-05 74R20 74F05 PDF BibTeX XML Cite \textit{D. Rittel} and \textit{S. Osovski}, Int. J. Fract. 162, No. 1--2, 177--185 (2010; Zbl 1425.74015) Full Text: DOI OpenURL
Vainchtein, Anna Effect of nonlinearity on the steady motion of a twinning dislocation. (English) Zbl 1189.37082 Physica D 239, No. 13, 1170-1179 (2010). MSC: 37K60 82B20 PDF BibTeX XML Cite \textit{A. Vainchtein}, Physica D 239, No. 13, 1170--1179 (2010; Zbl 1189.37082) Full Text: DOI OpenURL
El Hajj, Ahmad; Monneau, Régis Global continuous solutions for diagonal hyperbolic systems with large and monotone data. (English) Zbl 1198.35143 J. Hyperbolic Differ. Equ. 7, No. 1, 139-164 (2010). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L45 35Q35 35L60 74H25 PDF BibTeX XML Cite \textit{A. El Hajj} and \textit{R. Monneau}, J. Hyperbolic Differ. Equ. 7, No. 1, 139--164 (2010; Zbl 1198.35143) Full Text: DOI arXiv OpenURL
Segall, Paul Earthquake and volcano deformation. (English) Zbl 1203.86016 Princeton, NJ: Princeton University Press (ISBN 978-0-691-13302-7/hbk). xxiii, 432 p. (2010). Reviewer: Nina Shokina (Freiburg) MSC: 86A15 86-01 86-02 86A17 PDF BibTeX XML Cite \textit{P. Segall}, Earthquake and volcano deformation. Princeton, NJ: Princeton University Press (2010; Zbl 1203.86016) OpenURL
Jing, Peihua; Khraishi, Tariq A.; Zepeda-Ruiz, Luis A.; Wirth, Brian D. The elastic fields of sub-surface dislocation loops: a comparison between analytical continuum-theory solutions and atomistic calculations. (English) Zbl 1274.74049 Int. J. Theor. Appl. Multiscale Mech. 1, No. 1, 71-85 (2009). MSC: 74A60 74A25 74S30 PDF BibTeX XML Cite \textit{P. Jing} et al., Int. J. Theor. Appl. Multiscale Mech. 1, No. 1, 71--85 (2009; Zbl 1274.74049) Full Text: DOI OpenURL
Bjerkén, Christina; Melin, Solveig Growth of a short fatigue crack - A long term simulation using a dislocation technique. (English) Zbl 1236.74267 Int. J. Solids Struct. 46, No. 5, 1196-1204 (2009). MSC: 74R20 74S15 PDF BibTeX XML Cite \textit{C. Bjerkén} and \textit{S. Melin}, Int. J. Solids Struct. 46, No. 5, 1196--1204 (2009; Zbl 1236.74267) Full Text: DOI OpenURL
Benzerga, A. Amine Micro-pillar plasticity: 2.5D mesoscopic simulations. (English) Zbl 1371.74229 J. Mech. Phys. Solids 57, No. 9, 1459-1469 (2009). MSC: 74M99 74E15 74S05 PDF BibTeX XML Cite \textit{A. A. Benzerga}, J. Mech. Phys. Solids 57, No. 9, 1459--1469 (2009; Zbl 1371.74229) Full Text: DOI OpenURL
Lazar, Markus The gauge theory of dislocations: a uniformly moving screw dislocation. (English) Zbl 1186.74090 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2505-2520 (2009). MSC: 74M25 74A15 PDF BibTeX XML Cite \textit{M. Lazar}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2108, 2505--2520 (2009; Zbl 1186.74090) Full Text: DOI arXiv Link OpenURL
Pauš, Pauš; Beneš, Michal Direct approach to mean-curvature flow with topological changes. (English) Zbl 1192.65128 Kybernetika 45, No. 4, 591-604 (2009). MSC: 65M20 65M06 35L65 PDF BibTeX XML Cite \textit{P. Pauš} and \textit{M. Beneš}, Kybernetika 45, No. 4, 591--604 (2009; Zbl 1192.65128) Full Text: EuDML Link OpenURL
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien Uniqueness results for nonlocal Hamilton-Jacobi equations. (English) Zbl 1169.49028 J. Funct. Anal. 257, No. 5, 1261-1287 (2009). MSC: 49L25 35F25 35Q72 PDF BibTeX XML Cite \textit{G. Barles} et al., J. Funct. Anal. 257, No. 5, 1261--1287 (2009; Zbl 1169.49028) Full Text: DOI arXiv OpenURL
Malashenko, V. V. Dynamic drag of dislocation by point defects in near-surface crystal layer. (English) Zbl 1168.82335 Mod. Phys. Lett. B 23, No. 16, 2041-2047 (2009). MSC: 82D25 82C41 PDF BibTeX XML Cite \textit{V. V. Malashenko}, Mod. Phys. Lett. B 23, No. 16, 2041--2047 (2009; Zbl 1168.82335) Full Text: DOI OpenURL
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monteillet, Aurélien Existence of weak solutions for general nonlocal and nonlinear second-order parabolic equations. (English) Zbl 1166.49027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2801-2810 (2009). MSC: 49L25 35F25 35K65 35A05 35D05 45G10 47H10 PDF BibTeX XML Cite \textit{G. Barles} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 2801--2810 (2009; Zbl 1166.49027) Full Text: DOI arXiv OpenURL
Groh, S.; Marin, E. B.; Horstemeyer, M. F.; Zbib, H. M. Multiscale modeling of the plasticity in an aluminum single crystal. (English) Zbl 1165.74013 Int. J. Plast. 25, No. 8, 1456-1473 (2009). MSC: 74C99 74A60 74E15 74S05 PDF BibTeX XML Cite \textit{S. Groh} et al., Int. J. Plast. 25, No. 8, 1456--1473 (2009; Zbl 1165.74013) Full Text: DOI OpenURL
Liu, Z. L.; Liu, X. M.; Zhuang, Z.; You, X. C. A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. (English) Zbl 1235.74013 Int. J. Plast. 25, No. 8, 1436-1455 (2009). MSC: 74C20 74E15 74A60 74S05 PDF BibTeX XML Cite \textit{Z. L. Liu} et al., Int. J. Plast. 25, No. 8, 1436--1455 (2009; Zbl 1235.74013) Full Text: DOI OpenURL
Pauš, Petr; Beneš, Michal Algorithm for topological changes of parametrically described curves. (English) Zbl 1171.65346 Handlovičová, Angela (ed.) et al., Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry – Podbsanské, Slovakia, March 15–20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry (ISBN 978-80-227-3032-7/pbk). 176-184 (2009). MSC: 65D17 35L65 65M06 PDF BibTeX XML Cite \textit{P. Pauš} and \textit{M. Beneš}, in: Algoritmy 2009. 18th conference on scientific computing, Vysoké Tatry -- Podbsanské, Slovakia, March 15--20, 2009. Proceedings of contributed papers and posters. Bratislava: Slovak University of Technology, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry. 176--184 (2009; Zbl 1171.65346) OpenURL
Imbert, Cyril Level set approach for fractional mean curvature flows. (English) Zbl 1173.35533 Interfaces Free Bound. 11, No. 1, 153-176 (2009). MSC: 35K55 35F25 35K65 49L25 53C44 PDF BibTeX XML Cite \textit{C. Imbert}, Interfaces Free Bound. 11, No. 1, 153--176 (2009; Zbl 1173.35533) Full Text: DOI arXiv Link OpenURL
Delacourt, Martin; Pivato, Marcus Emergent defect dynamics in two-dimensional cellular automata. (English) Zbl 1176.68132 J. Cell. Autom. 4, No. 2, 111-124 (2009). MSC: 68Q80 PDF BibTeX XML Cite \textit{M. Delacourt} and \textit{M. Pivato}, J. Cell. Autom. 4, No. 2, 111--124 (2009; Zbl 1176.68132) OpenURL
Forcadel, Nicolas; Imbert, Cyril; Monneau, Régis Homogenization of some particle systems with two-body interactions and of the dislocation dynamics. (English) Zbl 1154.35306 Discrete Contin. Dyn. Syst. 23, No. 3, 785-826 (2009). MSC: 35B27 35F20 45K05 47G20 49L25 35B10 PDF BibTeX XML Cite \textit{N. Forcadel} et al., Discrete Contin. Dyn. Syst. 23, No. 3, 785--826 (2009; Zbl 1154.35306) Full Text: DOI OpenURL
Forcadel, Nicolas; Monteillet, Aurélien Minimizing movements for dislocation dynamics with a mean curvature term. (English) Zbl 1194.49064 ESAIM, Control Optim. Calc. Var. 15, No. 1, 214-244 (2009). MSC: 49Q15 53C44 49L25 28A75 58A25 PDF BibTeX XML Cite \textit{N. Forcadel} and \textit{A. Monteillet}, ESAIM, Control Optim. Calc. Var. 15, No. 1, 214--244 (2009; Zbl 1194.49064) Full Text: DOI EuDML OpenURL
Spearot, Douglas E. Evolution of the E structural unit during uniaxial and constrained tensile deformation. (English) Zbl 1258.74009 Mech. Res. Commun. 35, No. 1-2, 81-88 (2008). MSC: 74A25 74A60 PDF BibTeX XML Cite \textit{D. E. Spearot}, Mech. Res. Commun. 35, No. 1--2, 81--88 (2008; Zbl 1258.74009) Full Text: DOI OpenURL
Forcadel, Nicolas Dislocation dynamics with a mean curvature term: short time existence and uniqueness. (English) Zbl 1224.49038 Differ. Integral Equ. 21, No. 3-4, 285-304 (2008). MSC: 49L25 35D40 53C44 35G25 35Q99 PDF BibTeX XML Cite \textit{N. Forcadel}, Differ. Integral Equ. 21, No. 3--4, 285--304 (2008; Zbl 1224.49038) OpenURL
Ghorbel, M-A.; Hoch, P.; Monneau, R. A numerical study for the homogenisation of one-dimensional models describing the motion of dislocations. (English) Zbl 1178.65098 Int. J. Comput. Sci. Math. 2, No. 1-2, 28-52 (2008). MSC: 65M06 35F21 35B27 49L25 82D25 PDF BibTeX XML Cite \textit{M-A. Ghorbel} et al., Int. J. Comput. Sci. Math. 2, No. 1--2, 28--52 (2008; Zbl 1178.65098) Full Text: DOI OpenURL
Forcadel, N. An error estimate for a new scheme for mean curvature motion. (English) Zbl 1176.65154 SIAM J. Numer. Anal. 46, No. 5, 2715-2741 (2008). MSC: 65R20 45K05 45G10 53C44 49L25 PDF BibTeX XML Cite \textit{N. Forcadel}, SIAM J. Numer. Anal. 46, No. 5, 2715--2741 (2008; Zbl 1176.65154) Full Text: DOI Link OpenURL
Liu, Z. L.; You, X. C.; Zhuang, Z. A mesoscale investigation of strain rate effect on dynamic deformation of single-crystal copper. (English) Zbl 1169.74363 Int. J. Solids Struct. 45, No. 13, 3674-3687 (2008). MSC: 74E15 74S05 74C99 PDF BibTeX XML Cite \textit{Z. L. Liu} et al., Int. J. Solids Struct. 45, No. 13, 3674--3687 (2008; Zbl 1169.74363) Full Text: DOI OpenURL
Guruprasad, P. J.; Benzerga, A. A. Size effects under homogeneous deformation of single crystals: A discrete dislocation analysis. (English) Zbl 1162.74336 J. Mech. Phys. Solids 56, No. 1, 132-156 (2008). MSC: 74E15 74S05 PDF BibTeX XML Cite \textit{P. J. Guruprasad} and \textit{A. A. Benzerga}, J. Mech. Phys. Solids 56, No. 1, 132--156 (2008; Zbl 1162.74336) Full Text: DOI OpenURL
Barles, Guy; Cardaliaguet, Pierre; Ley, Olivier; Monneau, Régis Global existence results and uniqueness for dislocation equations. (English) Zbl 1158.49029 SIAM J. Math. Anal. 40, No. 1, 44-69 (2008). MSC: 49L25 35F25 35A05 35D05 35B50 45G10 74E15 PDF BibTeX XML Cite \textit{G. Barles} et al., SIAM J. Math. Anal. 40, No. 1, 44--69 (2008; Zbl 1158.49029) Full Text: DOI arXiv OpenURL
Ibrahim, Hassan; Jazar, Mustapha; Monneau, Régis Global existence of solutions to a singular parabolic/Hamilton-Jacobi coupled system with Dirichlet conditions. (English. Abridged French version) Zbl 1166.35313 C. R., Math., Acad. Sci. Paris 346, No. 17-18, 945-950 (2008). MSC: 35D05 35K65 82D25 PDF BibTeX XML Cite \textit{H. Ibrahim} et al., C. R., Math., Acad. Sci. Paris 346, No. 17--18, 945--950 (2008; Zbl 1166.35313) Full Text: DOI OpenURL
Benzerga, A. A. An analysis of exhaustion hardening in micron-scale plasticity. (English) Zbl 1138.74010 Int. J. Plast. 24, No. 7, 1128-1157 (2008). MSC: 74C20 74E15 74A60 PDF BibTeX XML Cite \textit{A. A. Benzerga}, Int. J. Plast. 24, No. 7, 1128--1157 (2008; Zbl 1138.74010) Full Text: DOI OpenURL
Wang, Shaofeng Dislocation equation from the lattice dynamics. (English) Zbl 1133.82012 J. Phys. A, Math. Theor. 41, No. 1, Article ID 015005, 15 p. (2008). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 82D35 PDF BibTeX XML Cite \textit{S. Wang}, J. Phys. A, Math. Theor. 41, No. 1, Article ID 015005, 15 p. (2008; Zbl 1133.82012) Full Text: DOI OpenURL
Denoual, Christophe Modeling dislocation by coupling Peierls-Nabarro and element-free Galerkin methods. (English) Zbl 1173.74468 Comput. Methods Appl. Mech. Eng. 196, No. 13-16, 1915-1923 (2007). MSC: 74S30 74A60 PDF BibTeX XML Cite \textit{C. Denoual}, Comput. Methods Appl. Mech. Eng. 196, No. 13--16, 1915--1923 (2007; Zbl 1173.74468) Full Text: DOI OpenURL
Weinberger, Christopher R.; Cai, Wei Computing image stress in an elastic cylinder. (English) Zbl 1170.74010 J. Mech. Phys. Solids 55, No. 10, 2027-2054 (2007). MSC: 74A60 74B99 74S25 PDF BibTeX XML Cite \textit{C. R. Weinberger} and \textit{W. Cai}, J. Mech. Phys. Solids 55, No. 10, 2027--2054 (2007; Zbl 1170.74010) Full Text: DOI Link OpenURL
Shiari, Behrouz; Miller, Ronald E.; Klug, Dennis D. Multiscale simulation of material removal processes at the nanoscale. (English) Zbl 1177.74305 J. Mech. Phys. Solids 55, No. 11, 2384-2405 (2007). MSC: 74M25 74S05 PDF BibTeX XML Cite \textit{B. Shiari} et al., J. Mech. Phys. Solids 55, No. 11, 2384--2405 (2007; Zbl 1177.74305) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Lefebvre} et al., J. Mech. Phys. Solids 55, No. 4, 788--802 (2007; Zbl 1162.74421) Full Text: DOI OpenURL
Guo, Y.; Zhuang, Z.; Li, X. Y.; Chen, Z. An investigation of the combined size and rate effects on the mechanical responses of FCC metals. (English) Zbl 1144.74006 Int. J. Solids Struct. 44, No. 3-4, 1180-1195 (2007). MSC: 74E15 82D35 PDF BibTeX XML Cite \textit{Y. Guo} et al., Int. J. Solids Struct. 44, No. 3--4, 1180--1195 (2007; Zbl 1144.74006) Full Text: DOI OpenURL
Ohashi, Tetsuya; Kawamukai, Masato; Zbib, Hussein A multiscale approach for modeling scale-dependent yield stress in polycrystalline metals. (English) Zbl 1115.74013 Int. J. Plast. 23, No. 5, 897-914 (2007). MSC: 74E15 74C99 PDF BibTeX XML Full Text: DOI OpenURL
Mastorakos, I. N.; Zbib, H. M. Shielding and amplification of a penny-shape crack due to the presence of dislocations. (English) Zbl 1197.74117 Int. J. Fract. 142, No. 1-2, 103-117 (2006). MSC: 74R10 74E15 74M25 PDF BibTeX XML Cite \textit{I. N. Mastorakos} and \textit{H. M. Zbib}, Int. J. Fract. 142, No. 1--2, 103--117 (2006; Zbl 1197.74117) Full Text: DOI OpenURL
Ngan, A. H. W.; Zuo, L.; Wo, P. C. Size dependence and stochastic nature of yield strength of micron-sized crystals: a case study on \({\text{Ni}}_{3}{\text{Al}}\). (English) Zbl 1149.74320 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2070, 1661-1681 (2006). MSC: 74E15 82D25 PDF BibTeX XML Cite \textit{A. H. W. Ngan} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2070, 1661--1681 (2006; Zbl 1149.74320) Full Text: DOI OpenURL
Xiang, Y. Modeling dislocations at different scales. (English) Zbl 1115.74307 Commun. Comput. Phys. 1, No. 3, 383-424 (2006). MSC: 74A60 74E15 82D25 74-02 PDF BibTeX XML Cite \textit{Y. Xiang}, Commun. Comput. Phys. 1, No. 3, 383--424 (2006; Zbl 1115.74307) OpenURL