Abstract
The paper is discussing problems connected with embedment of the incubation time criterion for brittle fracture into finite element computational schemes. Incubation time fracture criterion is reviewed; practical questions of its numerical implementation are extensively discussed. Several examples of how the incubation time fracture criterion can be used as fracture condition in finite element computations are given. The examples include simulations of dynamic crack propagation and arrest, impact crater formation (i.e. fracture in initially intact media), spall fracture in plates, propagation of cracks in pipelines. Applicability of the approach to model initiation, development and arrest of dynamic fracture is claimed.
This is a preview of subscription content, access via your institution.
references
Freund, L.B.: Dynamic Fracture Mechanics. Cambridge University Press, Cambridge (1990)
Petrov, Y.V., Morozov, N.F.: On the modeling of fracture of brittle solids. J. Appl. Mech. 61, 710–712 (1994)
Morozov, N., Petrov, Y.: Dynamics of Fracture, Springer-Verlag, Berlin (2000)
Petrov, Y.V.: On “quantum” nature of dynamic fracture of brittle solids. Dokl Akad Nauk USSR, 321, 66–68 (1991)
Petrov, Y.V., Morozov, N.F., Smirnov, V.I.: Structural micromechanics approach in dynamics of fracture. Fatig. Fract. Eng. Mater. Struct. 26, 363–372 (2003)
Bratov, V.: Energy behavior in dynamic fracture of materials. Dissertation, St. Petersburg State University (2004)
Neuber, H.: Kerbspannunglehre: Grundlagen fur Genaue Spannungsrechnung, Springer-Verlag, Berlin (1937)
Novozhilov, V.V.: About the necessary and sufficient brittle strength criterion. Prikl. Mat. Mekh. 33(2), 212–222 (1969)
Kornev, V.M., Kurguzov, V.D.: Interrelation between toughness and both strength and structural parameters of material. Int. J. Fract. 128, 195–203 (2004)
Petrov, Y.V., Sitnikova, E.V.: Dynamic cracking resistance of structural materials predicted from impact fracture of an aircraft alloy. Tech. Phys. 49(1), 57–60 (2007)
Ravi-Chandar, K., Knauss, W.G.: An experimental investigation into dynamic fracture: I. Crack initiation and arrest. Int. J. Fract. 25, 247–262 (1984)
Bratov, V., Petrov, Y.: Application of incubation time approach to simulate dynamic crack propagation. Int. J. Fract. 146, 53–60 (2007)
Bratov, V., Petrov, Y.: Optimizing energy input for fracture by analysis of the energy required to initiate dynamic mode I crack growth. Int. J. Solid Struct. 44, 2371–2380 (2007)
Bratov, V., Morozov, N., Petrov, Y.: Dynamic Strength of Continuum. St. Petersburg University Press, St. Petersburg (2009)
Bratov, V.A., Morozov, N.F., Petrov, Y.V.: Simulation of smart1 satellite impacting the moon surface. Dokl. Phys. 419(1), 54–58 (2008)
Freund, L.B.: Crack propagation in an elastic solid subjected to general loading. I: Constant rate of extension. J. Mech. Phys. Solid 20, 129–140 (1972)
Freund, L.B.: Crack propagation in an elastic solid subjected to general loading. II: Nonuniform rate of extension. J. Mech. Phys. Solid 20, 141–152 (1972)
Freund, L.B.: Energy flux into the tip of an extending crack in an elastic solid. J. Elast. 2, 341–349 (1972)
Kashtanov, A., Petrov, Y.: Fractal models in fracture mechanics. Int. J. Fract. 128, 271–276 (2004)
ABAQUS: ABAQUS/Standard User’s Manual, HKS Inc., USA (2002)
ANSYS: User’s Guide, Release 11.0. ANSYS Inc., Pennsylvania, USA (2006)
ESA: Impact landing ends SMART-1 mission to the Moon. Available online. http://www.esa.int/esaCP/SEM7A76LARE index 0.html Accessed 20 May 2011 (2006)
ESA, 2006b. Intense final hours for SMART-1, Available online. http://www.esa.int/esaCP/SEMV386LARE index 0.html Accessed 20 May 2011 (2006)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bratov, V. Incubation time fracture criterion for FEM simulations. Acta Mech Sin 27, 541–549 (2011). https://doi.org/10.1007/s10409-011-0484-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-011-0484-2