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A remedy to mitigate tensile instability in SPH for simulating large deformation and failure of geomaterials (2405.09654v1)

Published 15 May 2024 in cs.CE

Abstract: Large deformation analysis in geomechanics plays an important role in understanding the nature of post-failure flows and hazards associated with landslides under different natural calamities. In this study, a SPH framework is proposed for large deformation and failure analysis of geomaterials. An adaptive B-spline kernel function in combination with a pressure zone approach is proposed to counteract the numerical issues associated with tensile instability. The proposed algorithm is validated using a soil cylinder drop problem, and the results are compared with FEM. Finally, the effectiveness of the proposed algorithm in the successful removal of tensile instability and stress noise is demonstrated using the well-studied slope failure simulation of a cohesive soil vertical cut.

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References (23)
  1. Bathe KJ, Ozdemir H (1976) Elastic-plastic large deformation static and dynamic analysis. Computers & Structures 6(2):81–92
  2. Snitbhan N, Chen WF (1978) Elastic-plastic large deformation analysis of soil slopes. Computers & structures 9(6):567–577
  3. Hu Y, Randolph M (1998a) A practical numerical approach for large deformation problems in soil. International Journal for Numerical and Analytical Methods in Geomechanics 22(5):327–350
  4. Hu Y, Randolph M (1998b) H-adaptive fe analysis of elasto-plastic non-homogeneous soil with large deformation. Computers and Geotechnics 23(1-2):61–83
  5. Lucy LB (1977) A numerical approach to the testing of the fission hypothesis. The astronomical journal 82:1013–1024
  6. Gingold RA, Monaghan JJ (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Monthly notices of the royal astronomical society 181(3):375–389
  7. Shaw A, Reid SR (2009) Heuristic acceleration correction algorithm for use in sph computations in dynamic structural mechanics. Computer Methods in Applied Mechanics and Engineering 198(49-52):3962–3974
  8. Chakraborty S, Shaw A (2013) A pseudo-spring based fracture model for sph simulation of impact dynamics. International Journal of Impact Engineering 58:84–95
  9. Chakraborty S, Shaw A (2014) Crack propagation in bi-material system via pseudo-spring smoothed particle hydrodynamics. International Journal for Computational Methods in Engineering Science and Mechanics 15(3):294–301
  10. Fan H, Li S (2017) Parallel peridynamics–sph simulation of explosion induced soil fragmentation by using openmp. Computational Particle Mechanics 4(2):199–211
  11. Hurley RC, Andrade JE (2017) Continuum modeling of rate-dependent granular flows in sph. Computational Particle Mechanics 4:119–130
  12. Schuessler I, Schmitt D (1981) Comments on smoothed particle hydrodynamics. Astronomy and Astrophysics 97:373–379
  13. Randles P, Libersky L (1996) Smoothed particle hydrodynamics: Some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering 139(1):375–408
  14. Hicks D, Liebrock L (2004) Conservative smoothing with b-splines stabilizes sph material dynamics in both tension and compression. Applied Mathematics and Computation 150(1):213–234
  15. Dyka C, Ingel R (1995) An approach for tension instability in smoothed particle hydrodynamics (sph). Computers & Structures 57(4):573–580
  16. Randles P, Libersky L (2000) Normalized sph with stress points. International Journal for Numerical Methods in Engineering 48(10):1445–1462
  17. Morris JP (1996) A study of the stability properties of smooth particle hydrodynamics. Publications of the Astronomical Society of Australia 13(1):97–102
  18. Sigalotti LDG, López H (2008) Adaptive kernel estimation and sph tensile instability. Computers & Mathematics with Applications 55(1):23–50
  19. Xu X, Yu P (2018) A technique to remove the tensile instability in weakly compressible sph. Computational Mechanics 62:963–990
  20. Monaghan JJ (2000) Sph without a tensile instability. Journal of computational physics 159(2):290–311
  21. Monaghan JJ (1988) An introduction to sph. Computer physics communications 48(1):89–96
  22. Monaghan J (1989) On the problem of penetration in particle methods. Journal of Computational physics 82(1):1–15
  23. Piegl L, Tiller W (1996) The NURBS book. Springer Science & Business Media

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