Lazar, Markus Incompatible strain gradient elasticity of Mindlin type: screw and edge dislocations. (English) Zbl 1481.74081 Acta Mech. 232, No. 9, 3471-3494 (2021). Reviewer: Ioan Bucataru (Iaşi) MSC: 74B99 74C99 PDFBibTeX XMLCite \textit{M. Lazar}, Acta Mech. 232, No. 9, 3471--3494 (2021; Zbl 1481.74081) Full Text: DOI
Diaz, Adrian; Davydov, Denis; Chen, Youping On the equivalence of the two foundational formulations for atomistic flux in inhomogeneous transport processes. (English) Zbl 1427.82038 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180688, 18 p. (2019). MSC: 82C70 PDFBibTeX XMLCite \textit{A. Diaz} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2223, Article ID 20180688, 18 p. (2019; Zbl 1427.82038) Full Text: DOI Link
Rigelesaiyin, Ji; Diaz, Adrian; Li, Weixuan; Xiong, Liming; Chen, Youping Asymmetry of the atomic-level stress tensor in homogeneous and inhomogeneous materials. (English) Zbl 1407.74005 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2217, Article ID 20180155, 19 p. (2018). MSC: 74A25 PDFBibTeX XMLCite \textit{J. Rigelesaiyin} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2217, Article ID 20180155, 19 p. (2018; Zbl 1407.74005) Full Text: DOI
Cazeaux, Paul Cauchy-Born strain energy density for coupled incommensurate elastic chains. (English) Zbl 1416.74011 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 729-749 (2018). MSC: 74A25 74E15 35Q74 82B20 PDFBibTeX XMLCite \textit{P. Cazeaux}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 729--749 (2018; Zbl 1416.74011) Full Text: DOI
Fu, Yao; Song, Jeong-Hoon Heat flux expressions that satisfy the conservation laws in atomistic system involving multibody potentials. (English) Zbl 1349.80014 J. Comput. Phys. 294, 191-207 (2015). MSC: 80A20 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{J.-H. Song}, J. Comput. Phys. 294, 191--207 (2015; Zbl 1349.80014) Full Text: DOI
Carcaterra, Antonio Thermodynamic temperature in linear and nonlinear Hamiltonian systems. (English) Zbl 1423.80005 Int. J. Eng. Sci. 80, 189-208 (2014). MSC: 80A10 82C05 PDFBibTeX XMLCite \textit{A. Carcaterra}, Int. J. Eng. Sci. 80, 189--208 (2014; Zbl 1423.80005) Full Text: DOI
He, Minghua; Li, Shaofan An embedded atom hyperelastic constitutive model and multiscale cohesive finite element method. (English) Zbl 1355.74072 Comput. Mech. 49, No. 3, 337-355 (2012). MSC: 74S05 74A25 74B20 74R10 PDFBibTeX XMLCite \textit{M. He} and \textit{S. Li}, Comput. Mech. 49, No. 3, 337--355 (2012; Zbl 1355.74072) Full Text: DOI
Xiong, Liming; Tucker, Garritt; McDowell, David L.; Chen, Youping Coarse-grained atomistic simulation of dislocations. (English) Zbl 1270.74008 J. Mech. Phys. Solids 59, No. 2, 160-177 (2011). MSC: 74A25 74A60 PDFBibTeX XMLCite \textit{L. Xiong} et al., J. Mech. Phys. Solids 59, No. 2, 160--177 (2011; Zbl 1270.74008) Full Text: DOI Link
To, Albert C.; Fu, Yao; Liu, Wing Kam Denoising methods for thermomechanical decomposition for quasi-equilibrium molecular dynamics simulations. (English) Zbl 1228.74118 Comput. Methods Appl. Mech. Eng. 200, No. 23-24, 1979-1992 (2011). MSC: 74S30 74A25 74F05 PDFBibTeX XMLCite \textit{A. C. To} et al., Comput. Methods Appl. Mech. Eng. 200, No. 23--24, 1979--1992 (2011; Zbl 1228.74118) Full Text: DOI
Jones, Reese E.; Zimmerman, Jonathan A. The construction and application of an atomistic \(\mathbf J\)-integral via Hardy estimates of continuum fields. (English) Zbl 1429.74016 J. Mech. Phys. Solids 58, No. 9, 1318-1337 (2010). MSC: 74A45 74A25 PDFBibTeX XMLCite \textit{R. E. Jones} and \textit{J. A. Zimmerman}, J. Mech. Phys. Solids 58, No. 9, 1318--1337 (2010; Zbl 1429.74016) Full Text: DOI
Podio-Guidugli, Paolo On (Andersen-)Parrinello-Rahman molecular dynamics, the related metadynamics, and the use of the Cauchy-Born rule. (English) Zbl 1272.74015 J. Elasticity 100, No. 1-2, 145-153 (2010). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 74A25 74A60 82B21 PDFBibTeX XMLCite \textit{P. Podio-Guidugli}, J. Elasticity 100, No. 1--2, 145--153 (2010; Zbl 1272.74015) Full Text: DOI
Tsai, Jia-Lin; Tzeng, Shi-Hua; Tzou, Yu-Jen Characterizing the fracture parameters of a graphene sheet using atomistic simulation and continuum mechanics. (English) Zbl 1183.74242 Int. J. Solids Struct. 47, No. 3-4, 503-509 (2010). MSC: 74R10 74A25 PDFBibTeX XMLCite \textit{J.-L. Tsai} et al., Int. J. Solids Struct. 47, No. 3--4, 503--509 (2010; Zbl 1183.74242) Full Text: DOI
Zimmerman, Jonathan A.; Jones, Reese E.; Templeton, Jeremy A. A material frame approach for evaluating continuum variables in atomistic simulations. (English) Zbl 1303.74005 J. Comput. Phys. 229, No. 6, 2364-2389 (2010). MSC: 74A10 74A60 PDFBibTeX XMLCite \textit{J. A. Zimmerman} et al., J. Comput. Phys. 229, No. 6, 2364--2389 (2010; Zbl 1303.74005) Full Text: DOI
Fackeldey, Konstantin; Krause, Rolf Multiscale coupling in function space-weak coupling between molecular dynamics and continuum mechanics. (English) Zbl 1176.74179 Int. J. Numer. Methods Eng. 79, No. 12, 1517-1535 (2009). MSC: 74S05 74A25 PDFBibTeX XMLCite \textit{K. Fackeldey} and \textit{R. Krause}, Int. J. Numer. Methods Eng. 79, No. 12, 1517--1535 (2009; Zbl 1176.74179) Full Text: DOI
Pacheco, A. A.; Batra, R. C. Instabilities in shear and simple shear deformations of gold crystals. (English) Zbl 1172.74020 J. Mech. Phys. Solids 56, No. 11, 3116-3143 (2008). MSC: 74G60 74E15 74A25 PDFBibTeX XMLCite \textit{A. A. Pacheco} and \textit{R. C. Batra}, J. Mech. Phys. Solids 56, No. 11, 3116--3143 (2008; Zbl 1172.74020) Full Text: DOI