Development of discrete cracks in concrete loaded by shock waves

International Journal of Impact Engineering

Volumn 36, Issue 5, 2009, Pages 700-710

  Larcher, Martin ^a  

^a JOINT RESEARCH CENTRE   (Italy)

Author keywords

Detonation load; Discrete cohesive cracks; Element free Galerkin method; Hugoniot curve; Strain rate effect

Indexed keywords

COMPUTATIONAL MECHANICS; CONCRETE BEAMS AND GIRDERS; CONCRETE PRODUCTS; CONCRETES; DETONATION; GALERKIN METHODS; SHOCK WAVES; STRAIN RATE;

DETONATION LOAD; DISCRETE COHESIVE CRACKS; ELEMENT-FREE GALERKIN METHOD; HUGONIOT CURVE; STRAIN RATE EFFECT;

CRACKS;

EID: 59649110456     PISSN: 0734743X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijimpeng.2008.10.003     Document Type: Article

References (53)

1. Mosler J., and Meschke G. Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias. Computer Methods in Applied Mechanics and Engineering 193 (2004) 3351-3375
2. Malvern L. The propagation of longitudinal waves of plastic deformation in a bar of material exhibiting a strain-rate effect. Journal of Applied Mechanics 18 (1951) 203-208
3. Tedesco J., Powell J., Ross C.A., and Hughes M. A strain-rate-dependent concrete material model for ADINA. Computers and Structures 64 5-6 (1997) 1053-1068
4. Malvar L.J., Crawford J.E., Wesevich J.W., and Simons D. A plasticity concrete material model for DYNA3D. International Journal of Impact Engineering 19 9-10 (1997) 847-873
5. Holmquist T.J., Johnson G.R., and Cook W.H. A computational constitutive model for concrete subjected to large strains, high strain rates, and high pressures. In: Murphy M.J., and Backofen M.J.E. (Eds). Proceedings of the fourteenth international symposium on ballistics (1993), American Defense Preparedness Association, Arlington, VA 591-600 Quebec ISBN: 0-9618156-9-8.
6. Ockert J. Ein Stoffgesetz für die Schockwellenausbreitung in Beton, Schriftenreihe des Instituts für Massivbau und Baustofftechnologie, Dissertation, Universität Karlsruhe; 1997.
7. Riedel W. Beton unter dynamischen Lasten - Meso- und makromechanische Modelle und ihre Parameter, Fraunhofer-Institut für Kurzzeitdynamik, Ernst-Mach-Institut, Freiburg, Germany, Fraunhofer IRB Verlag; 2004.
8. Rabczuk T., and Eibl J. Simulation of high velocity concrete fragmentation using SPH/MLSPH. International Journal for Numerical Methods in Engineering 56 (2003) 1421-1444
9. Rabczuk T., and Belytschko T. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering 196 (2007) 2777-2799
10. Song J.-H., Wang H., and Belytschko T. A comparative study on finite element methods for dynamic fracture. Computational Mechanics 42 2 (2007) 239-250
11. Comacho G., and Ortiz M. Computational modelling of impact damage in brittle materials. International Journal for Solids Structures 33 20-22 (1996) 2899-2938
12. Moes N., Dolbow J., and Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 46 (1999) 131-150
13. Belytschko T., and Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 45 (1999) 601-620
14. Pedersen R.R., Simone A., and Sluys L.J. Continous-discontinous modelling of dynamic failure of concrete using a viscoelastic viscoplastic damage model. In: Mota Soares C.A., Martins J.A.C., Rodrigues H.C., Ambrosio J.A.C., Pina C.A.B., Mota Soares C.M., Pereira E.B.R., and Folgado J. (Eds). III European conference on computational mechanics (2006), Springer, Dordrecht, The Netherlands Lisbon, Portugal
15. Rabczuk T., and Zi G. A meshfree method based on the local partition of unity for cohesive cracks. Computational Mechanics 39 (2006) 743-760
16. Rabczuk T., and Belytschko T. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering 61 (2004) 2316-2343
17. Song J., Areias P., and Belytschko T. A method for dynamic crack and shear band propagation with phantom nodes. International Journal for Numerical Methods in Engineering 67 (2006) 868-893
18. Herrmann W. Constitutive equation for the dynamic compaction of ductile porous materials. Journal of Applied Physics 40 6 (1969) 2490-2499
19. Schmidt-Hurtienne B. Ein dreiaxiales Schädigungsmodell für Beton unter Einschluss des Dehnrateneffekts bei Hochgeschwindigkeitsbelastung, Schriftenreihe des Instituts für Massivbau und Baustofftechnologie, Dissertation, Universität Karlsruhe; 2001.
20. Belytschko T., Lu Y., and Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering 37 (1994) 229-256
21. Bathe K.-J. Finite element procedures (1996), Prentice Hall, Englewood Cliffs, NJ
22. Beissel S., and Belytschko T. Nodal integration of the element-free Galerkin method. Computer Methods in Applied Mechanics and Engineering 139 (1996) 49-74
23. Belytschko T., and Xiao S. Stability analysis of particle methods with corrected derivatives. Computers and Mathematics with Applications 43 (2002) 329-350
24. Rabczuk T., Belytschko T., and Xiao S. Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering 193 (2004) 1035-1063
25. Ventura G., Xu J., and Belytschko T. A vector level set method and new discontinuity approximations for crack growth by EFG. International Journal for Numerical Methods in Engineering 54 6 (2002) 923-944
26. Menouillard T., Réthoré J., Combescure A., and Bung H. Efficient explicit time stepping for the extended finite element method (X-FEM). International Journal for Numerical Methods in Engineering 68 (2006) 911-939
27. Lu Y., Belytschko T., and Tabbara M. Element-free Galerkin method for wave propagation and dynamic fracture. Computer Methods in Applied Mechanics and Engineering 126 1-2 (1995) 131-154
28. Hsieh S., Ting E., and Chen W. A plasticity-fracture model for concrete. International Journal of Solids and Structures 18 (1982) 181-197
29. CEB. Concrete structures under impact and impulsive loading - synthesis report 187, CEB bulletins; 1988.
30. Ruppert M. Zur numerischen Simulation von hochdynamisch beanspruchten Betonstrukturen, Universität der Bundeswehr, Dissertation; 2000.
31. Ruppert M., Gebekken N., and Greulich S. Simulation of concrete structures under highly dynamic loadings. Structures and Materials 8 (2000) 491-500
32. Ottosen N.S. A failure criterion for concrete. Journal of the Engineering Mechanics Division 103 (1977) 527-535
33. Kupfer H., Hilsdorf H., and Rüsch H. Behavior of concrete under biaxial stresses. Journal of the American Concrete Institute 66 (1969) 656-666
34. Mills L., and Zimmermann R. Compressive strength of plain concrete under multiaxial loading conditions. ACI Journal 67 10 (1970) 802-807
35. Bischoff P., and Perry S. Compressive behaviour of concrete at high strain rates. Materials and Structures 24 (1991) 425-450
36. Bischoff P.H., and Perry S.H. Impact behavior of plain concrete loaded in uniaxial compression. Journal of Engineering Mechanics 121 6 (1995) 685-693
37. Reinhardt H.W., Rossi P., and van Mier J.G. Joint investigation of concrete at high strain rates. Materials and Structures 23 (1990) 213-216
38. Gebbeken N., and Ruppert M. A new material model for concrete in high-dynamic hydrocode simulations. Archive of Applied Mechanics 70 (2000) 463-478
39. Curbach M., and Eibl J. Crack velocity in concrete. Engineering Fracture Mechanics 35 1-3 (1990) 321-326
40. Steiner S. Beton unter Kontaktdetonation - Experimentelle Untersuchungen, in: Beiträge zum 47. DAfStb-Forschungskolloquium, 9.-10. Novermber 2006; 2006. p. 283-93.
41. Hillerborg A., Modeer M., and Petersson P. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research 6 (1976) 773-782
42. Roelfstra P., and Wittmann F. Numerical method to link strain softening with failure of concrete. In: Wittmann F. (Ed). Fracture toughness and fracture energy (1986), Elsevier Scientific Publishing Company, Amsterdam 163-175
43. Schuler H., Mayrhofer C., and Thoma K. Spall experiments for the measurement of the tensile strength and fracture energy of concrete at high strain rates. International Journal of Impact Engineering 32 10 (2006) 1635-1650
44. Weerheijm J. Concrete under impact tensile loading and lateral compression. Ph.D. thesis, Technische Universität Delft; 1992.
45. Körmeling H, Reinhardt H. Determination of the fracture energy of normal concrete and epoxy modified concrete. Tech. Rep. No. 5-83-18, Stevin Laboratory, Delft University of Technology; 1983.
46. Arrea M, Ingraffea A. Mixed-mode crack propagation in mortar and concrete. Tech. Rep. No. 81-13, Dept. of Structural Engineering, Cornell University, Ithaca, N.Y.; 1982.
47. Akkermann J. Rotationsverhalten von Stahlbeton-Rahmenecken, Schriftenreihe des Instituts für Massivbau und Baustofftechnologie, Dissertation, Universität Karlsruhe; 2000.
48. Prasad B.R., Bharatkumar B., Murty D.R., Narayanan R., and Gopalakrishnan S. Fracture mechanics model for analysis of plain and reinforced high-performance concrete beams. Journal of Engineering Mechanics (2005) 831-838
49. Du J., Yon J., Hawkins N., Arakawa K., and Kobayashi A. Fracture process zone for concrete for dynamic loading. ACI Materials Journal 89 3 (1992) 252-258
50. Albritton G, Cole K. Response of deep two-way reinforced and unreinforced concrete slabs to static and dynamic loading. Tech. Rep. N-69-2, U.S. Army Engineer Waterway Experiment Station, Vicksburg, MS; 1969.
51. Plotzitza A. Ein Verfahren zur numerischen Simulation von Betonstrukturen beim Abbruch durch Sprengen, Schriftenreihe des Instituts für Massivbau und Baustofftechnologie, Dissertation, Universität Karlsruhe; 2002.
52. Herrmann N., Eibl J., and Stempniewski L. Experiments on concrete under shock loading. Structures and Materials 11 (2002) 389-398
53. Gravouil A., Moes N., and Belytschko T. Non-planar 3d crack growth by the extended finite element and level sets - part 2: level set update. International Journal for Numerical Methods in Engineering 53 (2002) 2569-2586