Coclite, Alessandro; Coclite, Giuseppe M.; Maddalena, Francesco; Politi, Tiziano A Numerical framework for nonlinear peridynamics on two-dimensional manifolds based on implicit P-(EC)\(^k\) schemes. (English) Zbl 07813248 SIAM J. Numer. Anal. 62, No. 2, 622-645 (2024). MSC: 74A70 74S20 35Q74 PDFBibTeX XMLCite \textit{A. Coclite} et al., SIAM J. Numer. Anal. 62, No. 2, 622--645 (2024; Zbl 07813248) Full Text: DOI arXiv
Tian, Hao; Yang, Xianchu; Liu, Chenguang; Liu, Guilin A fast implementation of the linear bond-based peridynamic beam model. (English) Zbl 07800004 Adv. Appl. Math. Mech. 16, No. 2, 305-330 (2024). MSC: 65R20 65Y10 PDFBibTeX XMLCite \textit{H. Tian} et al., Adv. Appl. Math. Mech. 16, No. 2, 305--330 (2024; Zbl 07800004) Full Text: DOI
Yu, Haitao; Sun, Yuqi Nonlocal geometric fracture theory: a nonlocal-local asymptotically compatible framework for continuous-discontinuous deformation of solid materials. (English) Zbl 07772331 Int. J. Numer. Methods Eng. 124, No. 21, 4740-4768 (2023). MSC: 74Rxx 74Sxx 74Axx PDFBibTeX XMLCite \textit{H. Yu} and \textit{Y. Sun}, Int. J. Numer. Methods Eng. 124, No. 21, 4740--4768 (2023; Zbl 07772331) Full Text: DOI
Wang, Bingquan; Oterkus, Selda; Oterkus, Erkan Determination of horizon size in state-based peridynamics. (English) Zbl 1523.74050 Contin. Mech. Thermodyn. 35, No. 3, 705-728 (2023). MSC: 74H45 PDFBibTeX XMLCite \textit{B. Wang} et al., Contin. Mech. Thermodyn. 35, No. 3, 705--728 (2023; Zbl 1523.74050) Full Text: DOI
Bellido, José Carlos; Cueto, Javier; Mora-Corral, Carlos Non-local gradients in bounded domains motivated by continuum mechanics: fundamental theorem of calculus and embeddings. (English) Zbl 07740634 Adv. Nonlinear Anal. 12, Article ID 20220316, 48 p. (2023). MSC: 26A33 35R11 46E35 49J45 74A70 35Q74 42B20 49K21 74B20 74G65 PDFBibTeX XMLCite \textit{J. C. Bellido} et al., Adv. Nonlinear Anal. 12, Article ID 20220316, 48 p. (2023; Zbl 07740634) Full Text: DOI arXiv
Wang, Yunteng; Wu, Wei A bond-level energy-based peridynamics for mixed-mode fracture in rocks. (English) Zbl 07725707 Comput. Methods Appl. Mech. Eng. 414, Article ID 116169, 25 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Wu}, Comput. Methods Appl. Mech. Eng. 414, Article ID 116169, 25 p. (2023; Zbl 07725707) Full Text: DOI
Vieira, Francisco S.; Araújo, Aurélio L. A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids. (English) Zbl 07692985 Comput. Methods Appl. Mech. Eng. 412, Article ID 116081, 37 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{F. S. Vieira} and \textit{A. L. Araújo}, Comput. Methods Appl. Mech. Eng. 412, Article ID 116081, 37 p. (2023; Zbl 07692985) Full Text: DOI
Mehmani, Yashar; Li, Kangan A multiscale preconditioner for microscale deformation of fractured porous media. (English) Zbl 07679173 J. Comput. Phys. 482, Article ID 112061, 23 p. (2023). MSC: 76Mxx 76Sxx 65Nxx PDFBibTeX XMLCite \textit{Y. Mehmani} and \textit{K. Li}, J. Comput. Phys. 482, Article ID 112061, 23 p. (2023; Zbl 07679173) Full Text: DOI
Li, Xiaolong; Hao, Zhiming On deformation and fracture of PBX simulant employing modified three-body potential peridynamics model with deformation-based failure criteria. (English) Zbl 1510.74006 Appl. Math. Modelling 115, 100-126 (2023). MSC: 74A70 PDFBibTeX XMLCite \textit{X. Li} and \textit{Z. Hao}, Appl. Math. Modelling 115, 100--126 (2023; Zbl 1510.74006) Full Text: DOI
Barros de Moraes, Eduardo A.; D’Elia, Marta; Zayernouri, Mohsen Machine learning of nonlocal micro-structural defect evolutions in crystalline materials. (English) Zbl 07644208 Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115743, 20 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{E. A. Barros de Moraes} et al., Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115743, 20 p. (2023; Zbl 07644208) Full Text: DOI arXiv
Laurien, Marie; Javili, Ali; Steinmann, Paul A nonlocal interface approach to peridynamics exemplified by continuum-kinematics-inspired peridynamics. (English) Zbl 07768039 Int. J. Numer. Methods Eng. 123, No. 15, 3464-3484 (2022). MSC: 74A70 74A05 PDFBibTeX XMLCite \textit{M. Laurien} et al., Int. J. Numer. Methods Eng. 123, No. 15, 3464--3484 (2022; Zbl 07768039) Full Text: DOI OA License
Mohajerani, Soheil; Wang, Gang “Touch-aware” contact model for peridynamics modeling of granular systems. (English) Zbl 07768008 Int. J. Numer. Methods Eng. 123, No. 17, 3850-3878 (2022). MSC: 65Nxx 74Sxx 35Qxx PDFBibTeX XMLCite \textit{S. Mohajerani} and \textit{G. Wang}, Int. J. Numer. Methods Eng. 123, No. 17, 3850--3878 (2022; Zbl 07768008) Full Text: DOI
Postek, Eligiusz; Nowak, Zdzisław; Pęcherski, Ryszard B. Viscoplastic flow of functional cellular materials with use of peridynamics. (English) Zbl 1522.74021 Meccanica 57, No. 4, 905-922 (2022). MSC: 74E30 74C10 74A70 74M20 PDFBibTeX XMLCite \textit{E. Postek} et al., Meccanica 57, No. 4, 905--922 (2022; Zbl 1522.74021) Full Text: DOI
Chevaugeon, N.; Moës, N. Lipschitz regularization for fracture: the Lip-field approach. (English) Zbl 1507.74376 Comput. Methods Appl. Mech. Eng. 402, Article ID 115644, 20 p. (2022). MSC: 74R10 74A45 74S05 PDFBibTeX XMLCite \textit{N. Chevaugeon} and \textit{N. Moës}, Comput. Methods Appl. Mech. Eng. 402, Article ID 115644, 20 p. (2022; Zbl 1507.74376) Full Text: DOI arXiv
Dimola, Nunzio; Coclite, Alessandro; Fanizza, Giuseppe; Politi, Tiziano Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics. (English) Zbl 07636106 Adv. Contin. Discrete Models 2022, Paper No. 60, 26 p. (2022). MSC: 74A70 74B20 70G70 35Q70 74S20 PDFBibTeX XMLCite \textit{N. Dimola} et al., Adv. Contin. Discrete Models 2022, Paper No. 60, 26 p. (2022; Zbl 07636106) Full Text: DOI arXiv
D’Avanzo, Paolo; Rapisarda, Alessio Ciro; Sirletti, Salvatore Samuele From the swarm robotics to material deformations. (English) Zbl 1496.70004 Marmo, Francesco (ed.) et al., Mathematical applications in continuum and structural mechanics. Cham: Springer. Adv. Struct. Mater. 127, 87-125 (2022). MSC: 70E60 70E55 70-10 PDFBibTeX XMLCite \textit{P. D'Avanzo} et al., Adv. Struct. Mater. 127, 87--125 (2022; Zbl 1496.70004) Full Text: DOI
Aretusi, Giuliano; Ciallella, Alessandro An application of Coulomb-friction model to predict internal dissipation in concrete. (English) Zbl 1496.74106 Marmo, Francesco (ed.) et al., Mathematical applications in continuum and structural mechanics. Cham: Springer. Adv. Struct. Mater. 127, 73-86 (2022). MSC: 74M25 74-10 PDFBibTeX XMLCite \textit{G. Aretusi} and \textit{A. Ciallella}, Adv. Struct. Mater. 127, 73--86 (2022; Zbl 1496.74106) Full Text: DOI
Ciallella, Alessandro; Giorgio, Ivan; Eugster, Simon R.; Rizzi, Nicola L.; dell’Isola, Francesco Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets. (English) Zbl 1524.74279 Wave Motion 113, Article ID 102986, 26 p. (2022). MSC: 74J30 74K10 PDFBibTeX XMLCite \textit{A. Ciallella} et al., Wave Motion 113, Article ID 102986, 26 p. (2022; Zbl 1524.74279) Full Text: DOI
Liu, Zhiying; Liu, Shankun; Han, Fei; Chu, Liusheng The morphing method to couple local and non-local thermomechanics. (English) Zbl 1498.74083 Comput. Mech. 70, No. 2, 367-384 (2022). MSC: 74S99 74R10 74F05 74A70 PDFBibTeX XMLCite \textit{Z. Liu} et al., Comput. Mech. 70, No. 2, 367--384 (2022; Zbl 1498.74083) Full Text: DOI
Zhao, Jiangming; Larios, Adam; Bobaru, Florin Construction of a peridynamic model for viscous flow. (English) Zbl 07578915 J. Comput. Phys. 468, Article ID 111509, 16 p. (2022). MSC: 76Mxx 74Axx 65Nxx PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Comput. Phys. 468, Article ID 111509, 16 p. (2022; Zbl 07578915) Full Text: DOI
Diehl, Patrick; Lipton, Robert; Wick, Thomas; Tyagi, Mayank A comparative review of peridynamics and phase-field models for engineering fracture mechanics. (English) Zbl 1505.74191 Comput. Mech. 69, No. 6, 1259-1293 (2022). MSC: 74R10 74A70 74S99 74-02 74-05 PDFBibTeX XMLCite \textit{P. Diehl} et al., Comput. Mech. 69, No. 6, 1259--1293 (2022; Zbl 1505.74191) Full Text: DOI
Chang, Haocheng; Chen, Airong; Kareem, Ahsan; Hu, Liang; Ma, Rujin Peridynamic differential operator-based Eulerian particle method for 2D internal flows. (English) Zbl 1507.76155 Comput. Methods Appl. Mech. Eng. 392, Article ID 114568, 15 p. (2022). MSC: 76M28 76D05 PDFBibTeX XMLCite \textit{H. Chang} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114568, 15 p. (2022; Zbl 1507.76155) Full Text: DOI
Kefal, Adnan; Diyaroglu, Cagan; Yildiz, Mehmet; Oterkus, Erkan Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures. (English) Zbl 1507.74055 Comput. Methods Appl. Mech. Eng. 391, Article ID 114520, 45 p. (2022). MSC: 74A70 74R10 74S05 PDFBibTeX XMLCite \textit{A. Kefal} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114520, 45 p. (2022; Zbl 1507.74055) Full Text: DOI
Sperling, S. O.; Hoefnagels, J. P. M.; van den Broek, K.; Geers, M. G. D. A continuum consistent discrete particle method for continuum-discontinuum transitions and complex fracture problems. (English) Zbl 1507.74417 Comput. Methods Appl. Mech. Eng. 390, Article ID 114460, 24 p. (2022). MSC: 74R10 74S60 PDFBibTeX XMLCite \textit{S. O. Sperling} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114460, 24 p. (2022; Zbl 1507.74417) 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
Rahimi, Mohammad Naqib; Kolukisa, Deniz Can; Yildiz, Mehmet; Ozbulut, Murat; Kefal, Adnan A generalized hybrid smoothed particle hydrodynamics-peridynamics algorithm with a novel Lagrangian mapping for solution and failure analysis of fluid-structure interaction problems. (English) Zbl 1507.76170 Comput. Methods Appl. Mech. Eng. 389, Article ID 114370, 39 p. (2022). MSC: 76M28 74F10 PDFBibTeX XMLCite \textit{M. N. Rahimi} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114370, 39 p. (2022; Zbl 1507.76170) Full Text: DOI
Sun, Yuqi; Yu, Haitao A unified non-local fluid transport model for heterogeneous saturated porous media. (English) Zbl 1507.76209 Comput. Methods Appl. Mech. Eng. 389, Article ID 114294, 33 p. (2022). MSC: 76S05 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{H. Yu}, Comput. Methods Appl. Mech. Eng. 389, Article ID 114294, 33 p. (2022; Zbl 1507.76209) Full Text: DOI
Javili, A.; Ekiz, E.; McBride, A. T.; Steinmann, P. Continuum-kinematics-inspired peridynamics: thermo-mechanical problems. (English) Zbl 1521.74044 Contin. Mech. Thermodyn. 33, No. 5, 2039-2063 (2021). MSC: 74F05 74A05 PDFBibTeX XMLCite \textit{A. Javili} et al., Contin. Mech. Thermodyn. 33, No. 5, 2039--2063 (2021; Zbl 1521.74044) Full Text: DOI
Martowicz, Adam; Kantor, Sławomir; Pieczonka, Łukasz; Bryła, Jakub; Roemer, Jakub Phase transformation in shape memory alloys: a numerical approach for thermomechanical modeling via peridynamics. (English) Zbl 1525.74157 Meccanica 56, No. 4, 841-854 (2021). MSC: 74N05 74A15 74A70 PDFBibTeX XMLCite \textit{A. Martowicz} et al., Meccanica 56, No. 4, 841--854 (2021; Zbl 1525.74157) Full Text: DOI
Turco, Emilio; Barchiesi, Emilio Kinematically triggered nonlinear vibrations of Hencky-type pantographic sheets. (English) Zbl 1503.74046 Math. Mech. Complex Syst. 9, No. 3, 311-335 (2021). MSC: 74H45 74K10 74S99 PDFBibTeX XMLCite \textit{E. Turco} and \textit{E. Barchiesi}, Math. Mech. Complex Syst. 9, No. 3, 311--335 (2021; Zbl 1503.74046) Full Text: DOI
Giorgio, Ivan; Spagnuolo, Mario; Andreaus, Ugo; Scerrato, Daria; Bersani, Alberto Maria In-depth gaze at the astonishing mechanical behavior of bone: a review for designing bio-inspired hierarchical metamaterials. (English) Zbl 07582885 Math. Mech. Solids 26, No. 7, 1074-1103 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{I. Giorgio} et al., Math. Mech. Solids 26, No. 7, 1074--1103 (2021; Zbl 07582885) Full Text: DOI
Laurien, Marie; Javili, Ali; Steinmann, Paul Nonlocal wrinkling instabilities in bilayered systems using peridynamics. (English) Zbl 1479.74036 Comput. Mech. 68, No. 5, 1023-1037 (2021). MSC: 74G60 74K35 74A70 PDFBibTeX XMLCite \textit{M. Laurien} et al., Comput. Mech. 68, No. 5, 1023--1037 (2021; Zbl 1479.74036) Full Text: DOI
Boys, B.; Dodwell, T. J.; Hobbs, M.; Girolami, M. PeriPy – a high performance peridynamics package. (English) Zbl 1507.74052 Comput. Methods Appl. Mech. Eng. 386, Article ID 114085, 30 p. (2021). MSC: 74A70 74-04 PDFBibTeX XMLCite \textit{B. Boys} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114085, 30 p. (2021; Zbl 1507.74052) Full Text: DOI arXiv
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
Yang, Dong; He, Xiaoqiao; Zhu, Jiaqi; Bie, Zhiwu A novel damage model in the peridynamics-based cohesive zone method (PD-CZM) for mixed mode fracture with its implicit implementation. (English) Zbl 1506.74039 Comput. Methods Appl. Mech. Eng. 377, Article ID 113721, 32 p. (2021). MSC: 74A70 74S10 65N08 74R10 PDFBibTeX XMLCite \textit{D. Yang} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113721, 32 p. (2021; Zbl 1506.74039) Full Text: DOI
Yu, Yue; You, Huaiqian; Trask, Nathaniel An asymptotically compatible treatment of traction loading in linearly elastic peridynamic fracture. (English) Zbl 1506.74506 Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021). MSC: 74S99 65M70 74A70 PDFBibTeX XMLCite \textit{Y. Yu} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113691, 36 p. (2021; Zbl 1506.74506) Full Text: DOI arXiv
Ghavamian, Ataollah; Lee, Chun Hean; Gil, Antonio J.; Bonet, Javier; Heuzé, Thomas; Stainier, Laurent An entropy-stable smooth particle hydrodynamics algorithm for large strain thermo-elasticity. (English) Zbl 1506.74011 Comput. Methods Appl. Mech. Eng. 379, Article ID 113736, 38 p. (2021). MSC: 74A15 74S60 65M75 PDFBibTeX XMLCite \textit{A. Ghavamian} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113736, 38 p. (2021; Zbl 1506.74011) Full Text: DOI HAL
Bode, T.; Weißenfels, C.; Wriggers, P. A consistent peridynamic formulation for arbitrary particle distributions. (English) Zbl 1506.74033 Comput. Methods Appl. Mech. Eng. 374, Article ID 113605, 18 p. (2021). MSC: 74A70 74S05 74S22 65M75 PDFBibTeX XMLCite \textit{T. Bode} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113605, 18 p. (2021; Zbl 1506.74033) Full Text: DOI
You, Huaiqian; Yu, Yue; Trask, Nathaniel; Gulian, Mamikon; D’Elia, Marta Data-driven learning of nonlocal physics from high-fidelity synthetic data. (English) Zbl 1506.74505 Comput. Methods Appl. Mech. Eng. 374, Article ID 113553, 22 p. (2021). MSC: 74S99 65N99 62G08 74Q10 90C25 90C90 PDFBibTeX XMLCite \textit{H. You} et al., Comput. Methods Appl. Mech. Eng. 374, Article ID 113553, 22 p. (2021; Zbl 1506.74505) Full Text: DOI arXiv
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
Bode, T.; Weißenfels, C.; Wriggers, P. Mixed peridynamic formulations for compressible and incompressible finite deformations. (English) Zbl 1465.74015 Comput. Mech. 65, No. 5, 1365-1376 (2020). MSC: 74A70 74A05 74S99 74B20 PDFBibTeX XMLCite \textit{T. Bode} et al., Comput. Mech. 65, No. 5, 1365--1376 (2020; Zbl 1465.74015) Full Text: DOI
Bode, T.; Weißenfels, C.; Wriggers, P. Peridynamic Petrov-Galerkin method: a generalization of the peridynamic theory of correspondence materials. (English) Zbl 1441.74016 Comput. Methods Appl. Mech. Eng. 358, Article ID 112636, 21 p. (2020). MSC: 74A45 74S05 65N30 PDFBibTeX XMLCite \textit{T. Bode} et al., Comput. Methods Appl. Mech. Eng. 358, Article ID 112636, 21 p. (2020; Zbl 1441.74016) Full Text: DOI
Gu, Xin; Zhang, Qing; Madenci, Erdogan; Xia, Xiaozhou Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model. (English) Zbl 1442.74031 Comput. Methods Appl. Mech. Eng. 357, Article ID 112592, 36 p. (2019). MSC: 74A70 65M75 PDFBibTeX XMLCite \textit{X. Gu} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112592, 36 p. (2019; Zbl 1442.74031) Full Text: DOI