Friedrich, Manuel; Kreutz, Leonard; Schmidt, Bernd Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy. (English) Zbl 1462.74035 Arch. Ration. Mech. Anal. 240, No. 2, 627-698 (2021). MSC: 74E15 74A25 74Q15 82B21 PDFBibTeX XMLCite \textit{M. Friedrich} et al., Arch. Ration. Mech. Anal. 240, No. 2, 627--698 (2021; Zbl 1462.74035) Full Text: DOI arXiv
Friedrich, Manuel; Schmidt, Bernd On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime. (English) Zbl 1332.74044 Netw. Heterog. Media 10, No. 2, 321-342 (2015). MSC: 74R10 49J45 70G75 PDFBibTeX XMLCite \textit{M. Friedrich} and \textit{B. Schmidt}, Netw. Heterog. Media 10, No. 2, 321--342 (2015; Zbl 1332.74044) Full Text: DOI arXiv
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
Friedrich, Manuel; Schmidt, Bernd A quantitative geometric rigidity result in SBD. arXiv:1503.06821 Preprint, arXiv:1503.06821 [math.AP] (2015). BibTeX Cite \textit{M. Friedrich} and \textit{B. Schmidt}, ``A quantitative geometric rigidity result in SBD'', Preprint, arXiv:1503.06821 [math.AP] (2015) Full Text: arXiv OA License
Friedrich, Manuel; Schmidt, Bernd An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem. (English) Zbl 1302.74144 J. Nonlinear Sci. 24, No. 1, 145-183 (2014). MSC: 74R10 49J45 74G75 PDFBibTeX XMLCite \textit{M. Friedrich} and \textit{B. Schmidt}, J. Nonlinear Sci. 24, No. 1, 145--183 (2014; Zbl 1302.74144) Full Text: DOI arXiv