| Issue |
Mechanics & Industry
Volume 27, 2026
Overview of recent advances in research for next generation in Mechanical Engineering
|
|
|---|---|---|
| Article Number | 22 | |
| Number of page(s) | 11 | |
| DOI | https://doi.org/10.1051/meca/2026020 | |
| Published online | 30 April 2026 | |
- S.H. Song, G.H. Paulino, Dynamic stress intensity factors for homogeneous and smoothly heterogeneous materials using the interaction integral method, Int. J. Solids Struct. 43, 4830–4866 (2006) [Google Scholar]
- F. Chirino, J. Dominguez, Dynamic analysis of cracks using boundary element method, Eng. Fract. Mech. 34, 1051–1061 (1989) [Google Scholar]
- T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing, Int. J. Numer. Methods Eng. 45, 601–620 (1999) [Google Scholar]
- R.A. Gingold, J.J. Monaghan, Smoothed particle hydrodynamics: theory and application to nonspherical star, Mon. Not. R. Astron. Soc. 181, 375–389 (1977) [Google Scholar]
- W.K. Liu, S. Jun, Y.F. Zhang, Reproducing kernel particle methods, Int. J. Numer. Methods Fluids 20, 1081–1106 (1995) [Google Scholar]
- T. Belytschko, Y.Y. Lu, L. Gu, Crack propagation by element-free Galerkin methods, Eng. Fract. Mech. 51, 295–315 (1995) [Google Scholar]
- S.A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, J. Mech. Phys. Solids 48, 175–209 (2000) [Google Scholar]
- E. Madenci, E. Oterkus, Peridynamic theory and its applications, Springer, New York, 2014 [Google Scholar]
- Y.D. Ha, F. Bobaru, Studies of dynamic crack propagation and crack branching with peridynamics, Int. J. Fract. 162, 229–244 (2010) [Google Scholar]
- A. Shojaei, A. Hermann, P. Seleson, S.A. Silling, T. Rabczuk, C.J. Cyron, Peridynamic elastic waves in two-dimensional unbounded domains: construction of nonlocal Dirichlet-type absorbing boundary conditions, Comput. Methods Appl. Mech. Eng. 407, 115948 (2023) [Google Scholar]
- A. Hermann, A. Shojaei, P. Seleson, C.J. Cyron, S.A. Silling, Dirichlet-type absorbing boundary conditions for peridynamic scalar waves in two-dimensional viscous media, Int. J. Numer. Methods Eng. 124, 3524–3553 (2023) [Google Scholar]
- Z.P. Bazant, W. Luo, V.T. Chau, M.A. Bessa, Wave dispersion and basic concepts of peridynamics compared to classical nonlocal damage models, J. Appl. Mech. 83, 111004 (2016) [Google Scholar]
- S. Li, Y. Jin, H. Lu, P. Sun, X. Huang, Z. Chen, Wave dispersion and quantitative accuracy analysis of bond-based peridynamic models with different attenuation functions, Comput. Mater. Sci. 197, 110667 (2021) [Google Scholar]
- S. Li, H. Lu, Y. Jin, P. Sun, X. Huang, Z. Bie, An improved unibond dual-parameter peridynamic model for fracture analysis of quasi-brittle materials, Int. J. Mech. Sci. 204, 106571 (2021) [Google Scholar]
- D. Huang, G. Lu, P. Qiao, An improved peridynamic approach for quasi-static elastic deformation and brittle fracture analysis, Int. J. Mech. Sci. 94–95, 111–122 (2015) [Google Scholar]
- O. Bouaraquia, Y. Rafiq, M. Mabssout, Wave dispersion analysis and evaluation of dynamic stress intensity factors using peridynamics approach, Appl. Comput. Mech. 18, 5–24 (2024) [Google Scholar]
- S.A. Silling, E. Askari, A meshfree method based on the peridynamic model of solid mechanics, Comput. Struct. 83, 1526–1535 (2005) [Google Scholar]
- F. Bobaru, J.T. Foster, P.H. Geubelle, S.A. Silling, Handbook of peridynamic modeling, CRC Press, Boca Raton, 2017 [Google Scholar]
- V.A. Eremeyev, K. Naumenko, Wave dispersion relations in peridynamics: Influence of kernels and similarities to nonlocal elasticity theories, Int. J. Eng. Sci. 211, 104256 (2025) [Google Scholar]
- J.R. Rice, A path independent integral and the approximate analysis of strain concentration by notches and cracks, J. Appl. Mech. 35, 379–386 (1968) [Google Scholar]
- L.B. Freund, Dynamic fracture mechanics, Cambridge University Press, Cambridge, 1990 [Google Scholar]
- K. Kishimoto, S. Aoki, M. Sakata, Dynamic stress intensity factors using J-integral and finite element method, Eng. Fract. Mech. 13, 387–394 (1980) [Google Scholar]
- J.F. Kalthoff, S. Winkler, Failure mode transition at high rates of shear loading, in: Impact Loading and Dynamic Behavior of Materials, vol. 1, DGM Informationsgesellschaft mbH, 1988, 185–195 [Google Scholar]
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