Xu, Mei; Gracie, Robert; Belytschko, Ted A continuum-to-atomistic bridging domain method for composite lattices. (English) Zbl 1183.74012 Int. J. Numer. Methods Eng. 81, No. 13, 1635-1658 (2010). MSC: 74A25 74A40 PDFBibTeX XMLCite \textit{M. Xu} et al., Int. J. Numer. Methods Eng. 81, No. 13, 1635--1658 (2010; Zbl 1183.74012) Full Text: DOI
Oswald, Jay; Gracie, Robert; Khare, Roopam; Belytschko, Ted An extended finite element method for dislocations in complex geometries: thin films and nanotubes. (English) Zbl 1227.74085 Comput. Methods Appl. Mech. Eng. 198, No. 21-26, 1872-1886 (2009). MSC: 74S05 74K35 74M25 PDFBibTeX XMLCite \textit{J. Oswald} et al., Comput. Methods Appl. Mech. Eng. 198, No. 21--26, 1872--1886 (2009; Zbl 1227.74085) Full Text: DOI
Gracie, Robert; Belytschko, Ted Concurrently coupled atomistic and XFEM models for dislocations and cracks. (English) Zbl 1183.74278 Int. J. Numer. Methods Eng. 78, No. 3, 354-378 (2009). MSC: 74S05 74R10 74A25 PDFBibTeX XMLCite \textit{R. Gracie} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 78, No. 3, 354--378 (2009; Zbl 1183.74278) Full Text: DOI
Guidault, P.-A.; Belytschko, T. Bridging domain methods for coupled atomistic-continuum models with \(L^2\) or \(H^1\) couplings. (English) Zbl 1158.74309 Int. J. Numer. Methods Eng. 77, No. 11, 1566-1592 (2009). MSC: 74A25 74S30 PDFBibTeX XMLCite \textit{P. A. Guidault} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 77, No. 11, 1566--1592 (2009; Zbl 1158.74309) Full Text: DOI
Arroyo, Marino; Belytschko, Ted Continuum mechanics modeling and simulation of carbon nanotubes. (English) Zbl 1106.74006 Meccanica 40, No. 5-6, 455-469 (2005). MSC: 74A25 PDFBibTeX XMLCite \textit{M. Arroyo} and \textit{T. Belytschko}, Meccanica 40, No. 5--6, 455--469 (2005; Zbl 1106.74006) Full Text: DOI Link
Xiao, S. P.; Belytschko, T. A bridging domain method for coupling continua with molecular dynamics. (English) Zbl 1079.74509 Comput. Methods Appl. Mech. Eng. 193, No. 17-20, 1645-1669 (2004). MSC: 74A25 74S30 PDFBibTeX XMLCite \textit{S. P. Xiao} and \textit{T. Belytschko}, Comput. Methods Appl. Mech. Eng. 193, No. 17--20, 1645--1669 (2004; Zbl 1079.74509) Full Text: DOI