Abstract
Combustion that follows a gas explosion quickly evolves into detonation and causes severe damage in thin-walled structures, especially structures that contain small internal flaws. Detonation-driven fracture of thin structures is studied numerically by a 3D meshfree method. Such scenarios are studied through numerical analysis and compared to experimental data.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V. I. Bolobov and N. A. Podlevskikh, “Mechanism of metal ignition due to fracture,” Combust., Expl., Shock Waves, 43, No. 4, 405–413 (2007).
V. I. Bolobov, “Mechanism of self-ignition of titanium alloys in oxygen,” Combust., Expl., Shock Waves, 38, No. 6, 639–645 (2002).
S. G. Vadchenko, N. T. Balikhina, and V. L Kvanin, “Combustion of hollow cylinders,” Combust., Expl., Shock Waves, 38, No. 4, 425–429 (2002).
A. V. Gerasimov, “Protection of an explosion chamber against fracture by a detonation wave,” Combust., Expl., Shock Waves, 33, No. 1, 111–116 (1997).
Yu. I. Voitenko, “Fracture of solids by weak blasts,” Combust., Expl., Shock Waves, 31, No. 4, 492–499 (1995).
N. N. Pilyugin, “Destruction of filled polymer targets by high-velocity impact,” Combust., Expl., Shock Waves, 44, No. 2, 239–247 (2008).
T. Belytschko, Y. Y. Lu, and L. Gu, “Element-free Galerkin methods,” Int. J. Numer. Methods Eng., 37, 229–256 (1994).
W. K. Liu, S. Jun, and Y. F. Zhang, “Reproducing kernel particle methods,” Int. J. Numer. Methods Eng., 20, 1081–1106 (1995).
W. K. Liu, S. Hao, T. Belytschko, S. F. Li, and C. T. Chang, “Multiple scale meshfree methods for damage fracture and localization,” Comput. Mater. Sci., 16, Nos. 1–4, 197–205 (1999).
W. K. Liu, S. Hao, T. Belytschko, S. F. Li, C. T. Chang, “Multi-scale methods,” Int. J. Numer. Meth. Eng., 47, No. 7, 1343–1361 (2000).
S. Hao, H. S. Park, and W. K. Liu, “Moving particle finite element method,” Int. J. Numer. Meth. Eng., 53, No. 8, 1937–1958 (2002).
S. Hao, W. K. Liu, and T. Belytschko, “Moving particle finite element method with global smoothness,” Int. J. Numer. Meth. Eng., 59, No. 7, 1007–1020 (2004).
T. Rabczuk and T. Belytschko, “Cracking particles: a simplified meshfree method for arbitrary evolving cracks,” Int. J. Numer. Meth. Eng., 61, No. 13, 2316–2343 (2004).
T. Rabczuk and J. Eibl, “Simulation of high velocity concrete fragmentation using SPH/MLSPH,” Int. J. Numer. Meth. Eng., 56, 1421–1444 (2003).
S. R. Idelsohn, E. Onate, and F. Del Pin, “The particle finite element method: a powerful tool to solve incompressible flows with free surfaces and breaking waves,” Int. J. Numer. Meth. Eng., 61, 964–989 (2004).
S. Hao, W. K. Liu, and D. Qian, “Localization-induced band and cohesive model,” Trans. ASME, J. Appl. Mech., 67, No. 4. 803–812 (2000).
T. Rabczuk and T. Belytschko, “Adaptivity for structured meshfree particle methods in 2D and 3D,” Int. J. Numer. Meth. Eng., 63, No. 11, 1559–1582 (2005).
T. Rabczuk, T. Belytschko, and S. P. Xiao, “Stable particle methods based on lagrangian kernels,” Comp. Meth. Appl. Mech. Eng., 193, 1035–1063 (2004).
T. Rabczuk, P. M. A. Areias, and T. Belytschko, “A simplified meshfree method for shear bands with cohesive surfaces,” Int. J. Numer. Meth. Eng., 69, No. 5, 993–1021 (2007).
S. Hao, W. K. Liu, P. A. Klein, and A. J. Rosakis, “Modeling and simulation of intersonic crack growth,” Int. J. Solids Struct., 41, No. 7, 1773–1799 (2004).
S. Hao and W. K. Liu, “Moving particle finite element method with super-convergence: Nodal integration formulation and applications,” Comp. Meth. Appl. Mech. Eng., 195, Nos. 44–47, 6059–6072 (2006).
P. Krysl and T. Belytschko, “Analysis of thin shells by the element-free galerkin method,” Int. J. Numer. Meth. Eng., 33, 3057–3078 (1996).
T. Rabczuk, P. M. A. Areias, and T. Belytschko, “A meshfree thin shell method for non-linear dynamic fracture,” Int. J. Numer. Meth. Eng., 72, No. 5, 524–548 (2007).
T. Rabczuk and P. Areias, “A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis,” CMES-Comp. Model. Eng. Sci., 16, No. 2, 115–130 (2006).
B. M. Donning and W. K. Liu, “Meshless methods for shear-deformable beams and plates,” Comp. Meth. Appl. Mech. Eng., 152, Nos. 1–2, 47–71 (1998).
W. Kanok-Nukulchai, W. Barry, K. Saran-Yasoontorn, and P. H. Bouillards, “On elimination of shear locking in the element-free Galerkin method,” Int. J. Numer. Meth. Eng., 52, 705–725 (2001).
H. Noguchi, T. Kawashima, and T. Miyamura, “Element free analysis of shell and spatial structures,” Int. J. Numer. Meth. Eng., 47, 1215–1240 (2000).
D. D. Wang and J. S. Chen, “A locking-free meshfree curved beam formulation with the stabilized conforming nodal integration,” Comput. Mech., 39, No. 1, 83–90 (2006).
G. Yagawa and T. Miyamura, “3-node triangular shell element using mixed formulation and its implementation by free mesh method,” Comput. Struct., 83, 2066–2076 (2005).
S. Li, W. Hao, and W. K. Liu, “Numerical simulations of large deformation of thin shell structures using meshfree methods,” Comput. Mech., 25, 102–116 (2000).
M. Zhou, G. Ravichandran, and A. J. Rosakis, “Dynamically propagating shear bands in impact-loaded prenotched plates. 2. Numerical simulations,” J. Mech. Phys. Solids, 44, No. 6, 1007–1032 (1996).
D. Peirce, C. F. Shih, and A. Needleman, “A tangent modulus method for rate dependent solids.” Comput. Struct., 18, 875–887 (1984).
T. Belytschko and Y. Y. Lu, “Element-free galerkin methods for static and dynamic fracture,” Int. J. Solids Struct., 32, 2547–2570 (1995).
T. Belytschko, Y. Y. Lu, and L. Gu, “Crack propagation by element-free Galerkin methods.” Eng. Fract. Mech., 51, No. 2, 295–315 (1995).
T. W. Chao, “Gaseous detonation-driven fracture of tubes,” Ph. D. Thesis, California Institute of Technology (2004).
W. Fickett and W. C. Davis, Detonation, University of California Press, Berkeley (1979).
C. L. Mader, Numerical Modeling of Detonations, Univ. of California Press, Berkeley (1979).
T. Rabczuk and T. Belytschko, “A three dimensional large deformation meshfree method for arbitrary evolving cracks,” Comput. Meth. Appl. Mech. Eng, 196, 2777–2799 (2007).
G. Zi, T. Rabczuk, and W. Wall, “Extended meshfree methods without branch enrichment for cohesive cracks,” Comput. Mech., 40, No. 2, 367–382 (2007).
T. Rabczuk and T. Belytschko, “Application of particle methods to static fracture of reinforced concrete structures,” Int. J. Fracture, 137, Nos. 1–4, 19–49 (2006).
T. Rabczuk and G. Zi, “A meshfree method based on the local partition of unity for cohesive cracks,” Comput. Mech., 39, No. 6, 743–760 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Fizika Goreniya i Vzryva, Vol. 46, No. 1, pp. 117–125, January–February, 2010.
Rights and permissions
About this article
Cite this article
Gato, C., Shie, Y. Detonation-driven fracture in thin shell structures: Numerical studies. Combust Explos Shock Waves 46, 103–110 (2010). https://doi.org/10.1007/s10573-010-0017-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10573-010-0017-5