Miehe, C.; Hofacker, M.; Schänzel, L.-M.; Aldakheel, F. Phase field modeling of fracture in multi-physics problems. II: Coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids. (English) Zbl 1423.74837 Comput. Methods Appl. Mech. Eng. 294, 486-522 (2015). MSC: 74R10 74C05 74F05 PDFBibTeX XMLCite \textit{C. Miehe} et al., Comput. Methods Appl. Mech. Eng. 294, 486--522 (2015; Zbl 1423.74837) Full Text: DOI
Hofacker, M.; Miehe, C. A phase field model of dynamic fracture: robust field updates for the analysis of complex crack patterns. (English) Zbl 1352.74022 Int. J. Numer. Methods Eng. 93, No. 3, 276-301 (2013). MSC: 74A45 PDFBibTeX XMLCite \textit{M. Hofacker} and \textit{C. Miehe}, Int. J. Numer. Methods Eng. 93, No. 3, 276--301 (2013; Zbl 1352.74022) Full Text: DOI
Miehe, Christian; Hofacker, Martina; Welschinger, Fabian A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. (English) Zbl 1231.74022 Comput. Methods Appl. Mech. Eng. 199, No. 45-48, 2765-2778 (2010). MSC: 74A45 74S05 PDFBibTeX XMLCite \textit{C. Miehe} et al., Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2765--2778 (2010; Zbl 1231.74022) Full Text: DOI
Miehe, C.; Welschinger, F.; Hofacker, M. Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations. (English) Zbl 1202.74014 Int. J. Numer. Methods Eng. 83, No. 10, 1273-1311 (2010). MSC: 74A45 74A15 74S05 PDFBibTeX XMLCite \textit{C. Miehe} et al., Int. J. Numer. Methods Eng. 83, No. 10, 1273--1311 (2010; Zbl 1202.74014) Full Text: DOI
Miehe, C.; Welschinger, F.; Hofacker, M. A phase field model of electromechanical fracture. (English) Zbl 1200.74123 J. Mech. Phys. Solids 58, No. 10, 1716-1740 (2010). MSC: 74R10 74R05 74F15 PDFBibTeX XMLCite \textit{C. Miehe} et al., J. Mech. Phys. Solids 58, No. 10, 1716--1740 (2010; Zbl 1200.74123) Full Text: DOI