Yang, Zhenghao; Naumenko, Konstantin; Ma, Chien-Ching; Oterkus, Erkan; Oterkus, Selda Peridynamic analysis of curved elastic beams. (English) Zbl 07736647 Eur. J. Mech., A, Solids 101, Article ID 105075, 10 p. (2023). MSC: 74K10 74A70 74H45 PDFBibTeX XMLCite \textit{Z. Yang} et al., Eur. J. Mech., A, Solids 101, Article ID 105075, 10 p. (2023; Zbl 07736647) Full Text: DOI
Zhang, Yajie; Shi, Zuoqiang A second-order nonlocal approximation for Poisson model with Dirichlet boundary. (English) Zbl 07735432 Res. Math. Sci. 10, No. 3, Paper No. 36, 24 p. (2023). MSC: 47G10 35R01 35J25 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Z. Shi}, Res. Math. Sci. 10, No. 3, Paper No. 36, 24 p. (2023; Zbl 07735432) Full Text: DOI
Xia, Yang; Wang, Hongshuai; Zheng, Guojun; Shen, Guozhe; Hu, Ping Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure. (English) Zbl 1507.74059 Comput. Methods Appl. Mech. Eng. 398, Article ID 115193, 26 p. (2022). MSC: 74A70 74K25 74R10 74S22 PDFBibTeX XMLCite \textit{Y. Xia} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115193, 26 p. (2022; Zbl 1507.74059) Full Text: DOI
Behzadinasab, Masoud; Alaydin, Mert; Trask, Nathaniel; Bazilevs, Yuri A general-purpose, inelastic, rotation-free Kirchhoff-Love shell formulation for peridynamics. (English) Zbl 1507.74051 Comput. Methods Appl. Mech. Eng. 389, Article ID 114422, 44 p. (2022). MSC: 74A70 74S05 74K25 PDFBibTeX XMLCite \textit{M. Behzadinasab} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114422, 44 p. (2022; Zbl 1507.74051) Full Text: DOI arXiv
Yang, Zhenghao; Oterkus, Erkan; Oterkus, Selda Peridynamic modelling of higher order functionally graded plates. (English) Zbl 07589916 Math. Mech. Solids 26, No. 12, 1737-1759 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{Z. Yang} et al., Math. Mech. Solids 26, No. 12, 1737--1759 (2021; Zbl 07589916) Full Text: DOI
Javili, A.; McBride, A. T.; Mergheim, J.; Steinmann, P. Towards elasto-plastic continuum-kinematics-inspired peridynamics. (English) Zbl 1506.74035 Comput. Methods Appl. Mech. Eng. 380, Article ID 113809, 28 p. (2021). MSC: 74A70 74C05 PDFBibTeX XMLCite \textit{A. Javili} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113809, 28 p. (2021; Zbl 1506.74035) Full Text: DOI
You, Huaiqian; Lu, Xin Yang; Trask, Nathaniel; Yu, Yue An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. (English) Zbl 1484.45010 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 811-851 (2021). Reviewer: Pierluigi Maponi (Camerino) MSC: 45K05 76R50 65R20 PDFBibTeX XMLCite \textit{H. You} et al., ESAIM, Math. Model. Numer. Anal. 55, 811--851 (2021; Zbl 1484.45010) Full Text: DOI
Yang, Zhenghao; Oterkus, Erkan; Oterkus, Selda A state-based peridynamic formulation for functionally graded Kirchhoff plates. (English) Zbl 07357415 Math. Mech. Solids 26, No. 4, 530-551 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{Z. Yang} et al., Math. Mech. Solids 26, No. 4, 530--551 (2021; Zbl 07357415) Full Text: DOI
Jha, P. K.; Lipton, R. Finite element approximation of nonlocal dynamic fracture models. (English) Zbl 1465.74163 Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1675-1710 (2021). MSC: 74S05 74R99 74A70 74S20 65M12 PDFBibTeX XMLCite \textit{P. K. Jha} and \textit{R. Lipton}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 3, 1675--1710 (2021; Zbl 1465.74163) Full Text: DOI arXiv
Shen, Guozhe; Xia, Yang; Li, Weidong; Zheng, Guojun; Hu, Ping Modeling of peridynamic beams and shells with transverse shear effect via interpolation method. (English) Zbl 1506.74037 Comput. Methods Appl. Mech. Eng. 378, Article ID 113716, 28 p. (2021). MSC: 74A70 74K10 74K25 PDFBibTeX XMLCite \textit{G. Shen} et al., Comput. Methods Appl. Mech. Eng. 378, Article ID 113716, 28 p. (2021; Zbl 1506.74037) Full Text: DOI
Shen, Guozhe; Xia, Yang; Hu, Ping; Zheng, Guojun Construction of peridynamic beam and shell models on the basis of the micro-beam bond obtained via interpolation method. (English) Zbl 1479.74080 Eur. J. Mech., A, Solids 86, Article ID 104174, 14 p. (2021). MSC: 74K10 74K25 74A70 74S99 PDFBibTeX XMLCite \textit{G. Shen} et al., Eur. J. Mech., A, Solids 86, Article ID 104174, 14 p. (2021; Zbl 1479.74080) Full Text: DOI
Javili, A.; Firooz, S.; McBride, A. T.; Steinmann, P. The computational framework for continuum-kinematics-inspired peridynamics. (English) Zbl 1465.74016 Comput. Mech. 66, No. 4, 795-824 (2020); correction ibid. 66, No. 4, 825 (2020). MSC: 74A70 74S99 PDFBibTeX XMLCite \textit{A. Javili} et al., Comput. Mech. 66, No. 4, 795--824 (2020; Zbl 1465.74016) Full Text: DOI arXiv
Yang, Zhenghao; Vazic, Bozo; Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda A Kirchhoff plate formulation in a state-based peridynamic framework. (English) Zbl 1446.74161 Math. Mech. Solids 25, No. 3, 727-738 (2020). MSC: 74K20 74A70 PDFBibTeX XMLCite \textit{Z. Yang} et al., Math. Mech. Solids 25, No. 3, 727--738 (2020; Zbl 1446.74161) Full Text: DOI Link
Yolum, Ugur; Güler, M. A. On the peridynamic formulation for an orthotropic Mindlin plate under bending. (English) Zbl 1446.74162 Math. Mech. Solids 25, No. 2, 263-287 (2020). MSC: 74K20 74A70 74E10 PDFBibTeX XMLCite \textit{U. Yolum} and \textit{M. A. Güler}, Math. Mech. Solids 25, No. 2, 263--287 (2020; Zbl 1446.74162) Full Text: DOI
You, Huaiqian; Lu, Xinyang; Task, Nathaniel; Yu, Yue An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. (English) Zbl 1474.45069 ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1373-1413 (2020). MSC: 45K05 76R50 65R20 PDFBibTeX XMLCite \textit{H. You} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 4, 1373--1413 (2020; Zbl 1474.45069) Full Text: DOI arXiv
Javili, A.; McBride, A. T.; Steinmann, P. Continuum-kinematics-inspired peridynamics. Mechanical problems. (English) Zbl 1479.74007 J. Mech. Phys. Solids 131, 125-146 (2019). MSC: 74A05 74A15 PDFBibTeX XMLCite \textit{A. Javili} et al., J. Mech. Phys. Solids 131, 125--146 (2019; Zbl 1479.74007) Full Text: DOI
Javili, Ali; Morasata, Rico; Oterkus, Erkan; Oterkus, Selda Peridynamics review. (English) Zbl 07273389 Math. Mech. Solids 24, No. 11, 3714-3739 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Javili} et al., Math. Mech. Solids 24, No. 11, 3714--3739 (2019; Zbl 07273389) Full Text: DOI Link
Diyaroglu, Cagan; Oterkus, Erkan; Oterkus, Selda An Euler-Bernoulli beam formulation in an ordinary state-based peridynamic framework. (English) Zbl 1447.74025 Math. Mech. Solids 24, No. 2, 361-376 (2019). MSC: 74K10 74A70 74S99 70F99 PDFBibTeX XMLCite \textit{C. Diyaroglu} et al., Math. Mech. Solids 24, No. 2, 361--376 (2019; Zbl 1447.74025) Full Text: DOI
Tao, Yunzhe; Tian, Xiaochuan; Du, Qiang Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. (English) Zbl 1411.74058 Appl. Math. Comput. 305, 282-298 (2017). MSC: 74S05 65N30 45K05 74A45 PDFBibTeX XMLCite \textit{Y. Tao} et al., Appl. Math. Comput. 305, 282--298 (2017; Zbl 1411.74058) Full Text: DOI
Wang, Linjuan; Xu, Jifeng; Wang, Jianxiang Static and dynamic Green’s functions in peridynamics. (English) Zbl 1366.82013 J. Elasticity 126, No. 1, 95-125 (2017); erratum ibid. 126, No. 1, 127 (2017). MSC: 82B21 74A99 45A05 45B05 45J05 44A10 43A30 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Elasticity 126, No. 1, 95--125 (2017; Zbl 1366.82013) Full Text: DOI
O’Grady, James; Foster, John A meshfree method for bending and failure in non-ordinary peridynamic shells. (English) Zbl 1382.74061 Comput. Mech. 57, No. 6, 921-929 (2016). MSC: 74H15 74R10 74K20 74K25 74G15 74S30 PDFBibTeX XMLCite \textit{J. O'Grady} and \textit{J. Foster}, Comput. Mech. 57, No. 6, 921--929 (2016; Zbl 1382.74061) Full Text: DOI