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
Rabczuk, Timon; Ren, Huilong; Zhuang, Xiaoying Computational methods based on peridynamics and nonlocal operators. Theory and applications. (English) Zbl 07673235 Computational Methods in Engineering & the Sciences. Cham: Springer (ISBN 978-3-031-20905-5/hbk; 978-3-031-20908-6/pbk; 978-3-031-20906-2/ebook). xiii, 320 p. (2023). MSC: 65-02 65J05 74A70 PDFBibTeX XMLCite \textit{T. Rabczuk} et al., Computational methods based on peridynamics and nonlocal operators. Theory and applications. Cham: Springer (2023; Zbl 07673235) Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon Ductile fracture modeling by phase field, Hencky strain elasticity and finite J2 plasticity using nonlocal operator method. arXiv:2302.13783 Preprint, arXiv:2302.13783 [cond-mat.mtrl-sci] (2023). BibTeX Cite \textit{H. Ren} et al., ``Ductile fracture modeling by phase field, Hencky strain elasticity and finite J2 plasticity using nonlocal operator method'', Preprint, arXiv:2302.13783 [cond-mat.mtrl-sci] (2023) Full Text: arXiv OA License
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
Ren, Huilong; Zhuang, Xiaoying; Trung, Nguyen-Thoi; Rabczuk, Timon A nonlocal operator method for finite deformation higher-order gradient elasticity. (English) Zbl 1506.74045 Comput. Methods Appl. Mech. Eng. 384, Article ID 113963, 28 p. (2021). MSC: 74B05 74B20 PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113963, 28 p. (2021; Zbl 1506.74045) 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
Ren, Huilong; Zhuang, Xiaoying; Trung, Nguyen-Thoi; Rabczuk, Timon Nonlocal operator method for the Cahn-Hilliard phase field model. (English) Zbl 1459.35011 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021). MSC: 35A35 35K35 35K58 65M12 PDFBibTeX XMLCite \textit{H. Ren} et al., Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105687, 26 p. (2021; Zbl 1459.35011) Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Oterkus, Erkan; Zhu, HeHua; Rabczuk, Timon Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method. arXiv:2103.08696 Preprint, arXiv:2103.08696 [math.NA] (2021). BibTeX Cite \textit{H. Ren} et al., ``Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method'', Preprint, arXiv:2103.08696 [math.NA] (2021) Full Text: arXiv OA License
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon A higher order nonlocal operator method for solving partial differential equations. (English) Zbl 1442.65440 Comput. Methods Appl. Mech. Eng. 367, Article ID 113132, 26 p. (2020). MSC: 65N99 PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113132, 26 p. (2020; Zbl 1442.65440) Full Text: DOI
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon A nonlocal operator method for solving partial differential equations. (English) Zbl 1441.35250 Comput. Methods Appl. Mech. Eng. 358, Article ID 112621, 27 p. (2020). MSC: 35R09 35A25 58E30 65M99 PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112621, 27 p. (2020; Zbl 1441.35250) Full Text: DOI arXiv
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon; Zhu, HeHua Dual-support smoothed particle hydrodynamics in solid: variational principle and implicit formulation. (English) Zbl 1464.76157 Eng. Anal. Bound. Elem. 108, 15-29 (2019). MSC: 76M28 65C35 PDFBibTeX XMLCite \textit{H. Ren} et al., Eng. Anal. Bound. Elem. 108, 15--29 (2019; Zbl 1464.76157) Full Text: DOI arXiv
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon Higher order nonlocal operator method. arXiv:1905.02809 Preprint, arXiv:1905.02809 [math.NA] (2019). BibTeX Cite \textit{H. Ren} et al., ``Higher order nonlocal operator method'', Preprint, arXiv:1905.02809 [math.NA] (2019) Full Text: arXiv OA License
Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon Dual-horizon peridynamics: a stable solution to varying horizons. (English) Zbl 1439.74030 Comput. Methods Appl. Mech. Eng. 318, 762-782 (2017). MSC: 74A45 PDFBibTeX XMLCite \textit{H. Ren} et al., Comput. Methods Appl. Mech. Eng. 318, 762--782 (2017; Zbl 1439.74030) Full Text: DOI arXiv
Dai, Zili; Ren, Huilong; Zhuang, Xiaoying; Rabczuk, Timon Dual-support smoothed particle hydrodynamics for elastic mechanics. (English) Zbl 1404.74210 Int. J. Comput. Methods 14, No. 4, Article ID 1750039, 28 p. (2017). MSC: 74S60 65N75 74B99 PDFBibTeX XMLCite \textit{Z. Dai} et al., Int. J. Comput. Methods 14, No. 4, Article ID 1750039, 28 p. (2017; Zbl 1404.74210) Full Text: DOI arXiv