A Virtual Test Facility for Simulating Detonation-Induced Fracture of Thin Flexible Shells

  • Ralf Deiterding
  • Fehmi Cirak
  • Sean P. Mauch
  • Daniel I. Meiron
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3992)


The fluid-structure interaction simulation of detonation- and shock-wave-loaded fracturing thin-walled structures requires numerical methods that can cope with large deformations as well as topology changes. We present a robust level-set-based approach that integrates a Lagrangian thin shell finite element solver with fracture and fragmentation capabilities with an Eulerian Cartesian detonation solver with optional dynamic mesh adaptation. As an application example, the rupture of a thin aluminum tube due to the passage of an ethylene-oxygen detonation wave is presented.


Detonation Wave Ghost Cell Subdivision Surface Cohesive Interface Cartesian Mesh 
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  1. 1.
    Chao, T.-W.: Gaseous detonation-driven fracture of tubes. PhD thesis, California Institute of Technology (2004)Google Scholar
  2. 2.
    Cirak, F., Ortiz, M., Schröder, P.: Subdivision surfaces: a new paradigm for thin-shell finite-element analysis. Int. J. Numer. Meth. Engineering 47, 2039–2072 (2000)zbMATHCrossRefGoogle Scholar
  3. 3.
    Cirak, F., Ortiz, M.: Fully C 1-conforming subdivision elements for finite deformation thin-shell analysis. Int. J. Numer. Meth. Engineering 51, 813–833 (2001)zbMATHCrossRefGoogle Scholar
  4. 4.
    Cirak, F., Ortiz, M., Pandolfi, A.: A Cohesive Approach to Thin-Shell Fracture and Fragmentation. Computer Methods in Appl. Mechanics and Engineering 194, 2604–2618 (2005)zbMATHCrossRefGoogle Scholar
  5. 5.
    Cirak, F., Radovitzky, R.: A Lagrangian-Eulerian Shell-Fluid Coupling Algorithm Based on Level Sets. Computers & Structures 83, 491–498 (2005)CrossRefGoogle Scholar
  6. 6.
    Deiterding, R.: Parallel adaptive simulation of multi-dimensional detonation structures. PhD thesis, Brandenburgische Technische Universität Cottbus (September 2003), Available at
  7. 7.
    Deiterding, R., Radovitzky, R., Mauch, S.P., et al.: A virtual test facility for the efficient simulation of solid materials under high energy shock-wave loading. Engineering with Computers (2005) (Invited submission)Google Scholar
  8. 8.
    Fedkiw, R.P., Aslam, T., Merriman, B., Osher, S.: A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method). J. Comput. Phys. 152, 457–492 (1999)MathSciNetzbMATHCrossRefGoogle Scholar
  9. 9.
    Fickett, W., Davis, W.C.: Detonation. University of California Press, Berkeley and Los Angeles, California (1979)Google Scholar
  10. 10.
    Mader, C.L.: Numerical modeling of detonations. University of California Press, Berkeley and Los Angeles, California (1979)Google Scholar
  11. 11.
    Mauch, S.P.: Efficient Algorithms for Solving Static Hamilton-Jacobi Equations. PhD thesis, California Institute of Technology (2003)Google Scholar
  12. 12.
    Toro, E.F.: Riemann solvers and numerical methods for fluid dynamics, 2nd edn. Springer, Heidelberg (1999)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Ralf Deiterding
    • 1
  • Fehmi Cirak
    • 1
  • Sean P. Mauch
    • 1
  • Daniel I. Meiron
    • 1
  1. 1.California Institute of TechnologyPasadenaUSA

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