Aguiar, Adair R.; Seitenfuss, Alan B. Determination of material properties of a linearly elastic peridynamic material. (English) Zbl 07601698 Math. Mech. Solids 27, No. 6, 1069-1091 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{A. R. Aguiar} and \textit{A. B. Seitenfuss}, Math. Mech. Solids 27, No. 6, 1069--1091 (2022; Zbl 07601698) 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
Chen, Jianbing; Ren, Yudong; Lu, Guangda Meso-scale physical modeling of energetic degradation function in the nonlocal macro-meso-scale consistent damage model for quasi-brittle materials. (English) Zbl 1506.74348 Comput. Methods Appl. Mech. Eng. 374, Article ID 113588, 40 p. (2021). MSC: 74R10 74S05 PDFBibTeX XMLCite \textit{J. Chen} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113588, 40 p. (2021; Zbl 1506.74348) Full Text: DOI
Zhou, Xiao-Ping; Tian, Da-Lang A novel linear elastic constitutive model for continuum-kinematics-inspired peridynamics. (English) Zbl 1506.74043 Comput. Methods Appl. Mech. Eng. 373, Article ID 113479, 37 p. (2021). MSC: 74A70 74B05 PDFBibTeX XMLCite \textit{X.-P. Zhou} and \textit{D.-L. Tian}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113479, 37 p. (2021; Zbl 1506.74043) Full Text: DOI
Chen, Hailong; Chan, WaiLam Higher-order peridynamic material correspondence models for elasticity. (English) Zbl 1456.74011 J. Elasticity 142, No. 1, 135-161 (2020). MSC: 74A70 74A20 74B99 PDFBibTeX XMLCite \textit{H. Chen} and \textit{W. Chan}, J. Elasticity 142, No. 1, 135--161 (2020; Zbl 1456.74011) 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
Buryachenko, Valeriy A. Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites. (English) Zbl 1446.74079 Math. Mech. Solids 25, No. 3, 682-704 (2020). MSC: 74A40 74A70 74A60 74G65 PDFBibTeX XMLCite \textit{V. A. Buryachenko}, Math. Mech. Solids 25, No. 3, 682--704 (2020; Zbl 1446.74079) Full Text: DOI
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
Buryachenko, Valeriy A. Computational homogenization in linear elasticity of peristatic periodic structure composites. (English) Zbl 07254366 Math. Mech. Solids 24, No. 8, 2497-2525 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{V. A. Buryachenko}, Math. Mech. Solids 24, No. 8, 2497--2525 (2019; Zbl 07254366) Full Text: DOI
Du, Qiang; Tao, Yunzhe; Tian, Xiaochuan A peridynamic model of fracture mechanics with bond-breaking. (English) Zbl 1395.74041 J. Elasticity 132, No. 2, 197-218 (2018). MSC: 74H20 74H25 45K05 47G10 74R10 PDFBibTeX XMLCite \textit{Q. Du} et al., J. Elasticity 132, No. 2, 197--218 (2018; Zbl 1395.74041) Full Text: DOI
Du, Qiang; Tian, Xiaochuan Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling. (English) Zbl 1394.45002 SIAM J. Appl. Math. 78, No. 3, 1536-1552 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 45A05 45K05 47G10 74G65 PDFBibTeX XMLCite \textit{Q. Du} and \textit{X. Tian}, SIAM J. Appl. Math. 78, No. 3, 1536--1552 (2018; Zbl 1394.45002) Full Text: DOI arXiv
Van Le, Quang; Bobaru, Florin Objectivity of state-based peridynamic models for elasticity. (English) Zbl 1387.74013 J. Elasticity 131, No. 1, 1-17 (2018). MSC: 74B05 74A45 74G15 74G65 74G70 PDFBibTeX XMLCite \textit{Q. Van Le} and \textit{F. Bobaru}, J. Elasticity 131, No. 1, 1--17 (2018; Zbl 1387.74013) Full Text: DOI
Du, Qiang; Lipton, Robert; Mengesha, Tadele Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media. (English) Zbl 1348.74287 ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1425-1455 (2016). MSC: 74Q05 74E05 74H10 45F99 45P05 PDFBibTeX XMLCite \textit{Q. Du} et al., ESAIM, Math. Model. Numer. Anal. 50, No. 5, 1425--1455 (2016; Zbl 1348.74287) Full Text: DOI
Aguiar, Adair R. On the determination of a peridynamic constant in a linear constitutive model. (English) Zbl 1329.74011 J. Elasticity 122, No. 1, 27-39 (2016); erratum ibid. 122, No. 1, 41-42 (2016). MSC: 74A20 74B05 PDFBibTeX XMLCite \textit{A. R. Aguiar}, J. Elasticity 122, No. 1, 27--39 (2016; Zbl 1329.74011) Full Text: DOI DOI
Mengesha, Tadele; Du, Qiang Nonlocal constrained value problems for a linear peridynamic Navier equation. (English) Zbl 1297.74051 J. Elasticity 116, No. 1, 27-51 (2014). MSC: 74G65 74H20 74H25 45A05 45K05 47G10 PDFBibTeX XMLCite \textit{T. Mengesha} and \textit{Q. Du}, J. Elasticity 116, No. 1, 27--51 (2014; Zbl 1297.74051) Full Text: DOI