Full Article - Open Access.

Idioma principal

AN EXPLICIT DYNAMICS APPROACH TO THE SIMULATION OF CRACK PROPAGATION IN THIN SHELLS USING REDUCED INTEGRATION SOLID-SHELL ELEMENTS

Pagani, M.; Perego, U.;

Full Article:

Fracture propagation in laminated shell structures, due to impact or cutting, is a highly nonlinear problem which is more conveniently simulated using explicit finite element approaches. Solid-shell elements are better suited for the discretization in the presence of complex material behavior and delamination, since they allow for a correct representation of the through the thickness stress. In the presence of cutting problems with sharp blades, classical crack-propagation approaches based on cohesive interfaces may prove inadequate. New “directional” cohesive interface elements are here proposed to account for the interaction with the cutter edge. The element small thickness leads to very high eigenfrequencies, which imply overly small stable time-steps. A new selective mass scaling technique is here proposed to increase the time-step without affecting accuracy.

Full Article:

Palavras-chave: Cutting, Explicit Dynamics, Crack Propagation, Mass Scaling, Solid-Shell Elements.,

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-18478

Referências bibliográficas
  • [1] F. Cirak, M. Ortiz, and A. Pandolfi, “A cohesive approach to thin-shell fracture and fragmentation,” Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 21-24, pp. 2604–2618, 2005.
  • [2] P. M. A. Areias and T. Belytschko, “Non-linear analysis of shells with arbitrary evolving cracks using xfem,” International Journal for Numerical Methods in Engineering, vol. 62, no. 3, pp. 384–415, 2005.
  • [3] P. M. A. Areias, J. H. Song, and T. Belytschko, “Analysis of fracture in thin shells by overlapping paired elements,” Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 41-43, pp. 5343–5360, 2006.
  • [4] P. D. Zavattieri, “Modeling of crack propagation in thin-walled structures using a cohesive model for shell elements,” Journal of Applied Mechanics, vol. 73, no. 6, pp. 948–958, 2006.
  • [5] J. H. Song and T. Belytschko, “Dynamic fracture of shells subjected to impulsive loads,” Journal of Applied Mechanics, vol. 76, no. 5, pp. 051 301 1–051 301 9, 2009.
  • [6] T. Atkins, The science and engineering of cutting. Buttherworth Heinemann, Oxford, UK, 2009.
  • [7] A. Frangi, M. Pagani, U. Perego, and R. Borsari, “Directional cohesive elements for the simulation of blade cutting of thin shells,” Computer Modeling in Engineering Andamp; Sciences, vol. 57, no. 3, pp. 205–224, 2010.
  • [8] M. Schwarze and S. Reese, “A reduced integration solid-shell finite element based on the EAS and the ANS concept–Large deformation problems,” International Journal for Numerical Methods in Engineering, vol. 85, no. 3, pp. 289–329, 2011.
  • [9] R. W. Macek and B. H. Aubert, “A mass penalty technique to control the critical time increment in explicit dynamic finite element analyses,” Earthquake Engng. Struct. Dyn., vol. 24, no. 10, pp. 1315–1331, 1995.
  • [10] L. Olovsson, K. Simonsson, and M. Unosson, “Selective mass scaling for explicit finite element analyses,” Int. J. Numer. Meth. Engng., vol. 63, no. 10, pp. 1436–1445, 2005.
  • [11] E. Hinton, T. Rock, and O. C. Zienkiewicz, “A note on mass lumping and related processes in the finite element method,” Earthquake Engng. Struct. Dyn., vol. 4, no. 3, pp. 245–249, 1976.
  • [12] L. Olovsson, M. Unosson, and K. Simonsson, “Selective mass scaling for thin walled structures modeled with tri-linear solid elements,” Computational Mechanics, vol. 34, no. 2, pp. 134–136, 2004.
  • [13] F. Abed-Meraim and A. Combescure, “An improved assumed strain solid-shell element formulation with physical stabilization for geometric non-linear applications and elasticplastic stability analysis,” International Journal for Numerical Methods in Engineering, vol. 80, no. 13, pp. 1640–1686, 2009.
  • [14] W. A. Wall, M. Gee, and E. Ramm, “The challenge of a three-dimensional shell formulation: the conditioning problem,” in Proc. IASS-IACM 2000, Fourth International Colloquium on Computation for Shells Andamp; Spatial Structures, 2000, pp. 1–21.
  • [15] M. Gee, E. Ramm, and W. Wall, “Parallel multilevel solution of nonlinear shell structures,” Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 21-24, pp. 2513–2533, 2005.
  • [16] K.-J. Bathe and E. N. Dvorkin, “A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation,” International Journal for Numerical Methods in Engineering, vol. 21, no. 2, pp. 367–383, 1985.
Como citar:

Pagani, M.; Perego, U.; "AN EXPLICIT DYNAMICS APPROACH TO THE SIMULATION OF CRACK PROPAGATION IN THIN SHELLS USING REDUCED INTEGRATION SOLID-SHELL ELEMENTS", p. 1576-1586 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18478

últimos 30 dias | último ano | desde a publicação


downloads


visualizações


indexações