Ren, Huilong; Zhuang, Xiaoying; Fu, Xiaolong; Li, Zhiyuan; Rabczuk, Timon Bond-based nonlocal models by nonlocal operator method in symmetric support domain. (English) Zbl 07822108 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116230, 24 p. (2024). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116230, 24 p. (2024; Zbl 07822108) Full Text: DOI arXiv
Jiang, Yang; Li, Cunyi; Wu, Chi; Rabczuk, Timon; Fang, Jianguang A double-phase field method for mixed mode crack modelling in 3D elasto-plastic solids with crack-direction-based strain energy decomposition. (English) Zbl 07653078 Comput. Methods Appl. Mech. Eng. 405, Article ID 115886, 29 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Methods Appl. Mech. Eng. 405, Article ID 115886, 29 p. (2023; Zbl 07653078) Full Text: DOI
Bharali, Ritukesh; Goswami, Somdatta; Anitescu, Cosmin; Rabczuk, Timon A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation. (English) Zbl 1507.74374 Comput. Methods Appl. Mech. Eng. 394, Article ID 114927, 23 p. (2022). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{R. Bharali} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114927, 23 p. (2022; Zbl 1507.74374) Full Text: DOI arXiv
Zhang, Yongzheng; Ren, Huilong; Areias, Pedro; Zhuang, Xiaoying; Rabczuk, Timon Quasi-static and dynamic fracture modeling by the nonlocal operator method. (English) Zbl 1521.74201 Eng. Anal. Bound. Elem. 133, 120-137 (2021). MSC: 74R10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Eng. Anal. Bound. Elem. 133, 120--137 (2021; Zbl 1521.74201) Full Text: DOI
Zhuang, Xiaoying; Ren, Huilong; Rabczuk, Timon Nonlocal operator method for dynamic brittle fracture based on an explicit phase field model. (English) Zbl 1486.74125 Eur. J. Mech., A, Solids 90, Article ID 104380, 14 p. (2021). MSC: 74R10 74A70 74S99 PDFBibTeX XMLCite \textit{X. Zhuang} et al., Eur. J. Mech., A, Solids 90, Article ID 104380, 14 p. (2021; Zbl 1486.74125) Full Text: DOI
Ashour, Mohammed; Valizadeh, Navid; Rabczuk, Timon Isogeometric analysis for a phase-field constrained optimization problem of morphological evolution of vesicles in electrical fields. (English) Zbl 1506.74117 Comput. Methods Appl. Mech. Eng. 377, Article ID 113669, 27 p. (2021). MSC: 74F15 65D07 74S05 65M60 74S22 78M20 PDFBibTeX XMLCite \textit{M. Ashour} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113669, 27 p. (2021; Zbl 1506.74117) Full Text: DOI
Brighenti, Roberto; Rabczuk, Timon; Zhuang, Xiaoying Phase field approach for simulating failure of viscoelastic elastomers. (English) Zbl 1478.74078 Eur. J. Mech., A, Solids 85, Article ID 104092, 14 p. (2021). MSC: 74R99 74D99 PDFBibTeX XMLCite \textit{R. Brighenti} et al., Eur. J. Mech., A, Solids 85, Article ID 104092, 14 p. (2021; Zbl 1478.74078) Full Text: DOI
Fang, Jianguang; Wu, Chengqing; Rabczuk, Timon; Wu, Chi; Sun, Guangyong; Li, Qing Phase field fracture in elasto-plastic solids: a length-scale insensitive model for quasi-brittle materials. (English) Zbl 1464.74158 Comput. Mech. 66, No. 4, 931-961 (2020); correction ibid. 67, No. 6, 1769-1770 (2021). MSC: 74R20 74S05 PDFBibTeX XMLCite \textit{J. Fang} et al., Comput. Mech. 66, No. 4, 931--961 (2020; Zbl 1464.74158) Full Text: DOI
Zhou, Shuwei; Zhuang, Xiaoying; Rabczuk, Timon Phase field modeling of brittle compressive-shear fractures in rock-like materials: a new driving force and a hybrid formulation. (English) Zbl 1441.74223 Comput. Methods Appl. Mech. Eng. 355, 729-752 (2019). MSC: 74R10 74S05 74L10 PDFBibTeX XMLCite \textit{S. Zhou} et al., Comput. Methods Appl. Mech. Eng. 355, 729--752 (2019; Zbl 1441.74223) Full Text: DOI
Areias, P.; Rabczuk, T.; Msekh, M. A. Phase-field analysis of finite-strain plates and shells including element subdivision. (English) Zbl 1439.74341 Comput. Methods Appl. Mech. Eng. 312, 322-350 (2016). MSC: 74R10 74K20 74K25 PDFBibTeX XMLCite \textit{P. Areias} et al., Comput. Methods Appl. Mech. Eng. 312, 322--350 (2016; Zbl 1439.74341) Full Text: DOI