Simulation of critical behaviour on damage evolution

doi:10.1088/1674-1056/19/3/036201

Abstract Based on a damage evolution equation and a critical damage function model, this paper has completed the numerical simulation of ductile spall fracture. The free-surface velocity and damage distribution have been used to determine jointly the physical parameters D_l (the critical linking damage), D_f (the critical fracturing damage) and k (the softening rate of critical damage function model）of the critical damage function model, which are 0.11, 0.51 and 0.57 respectively. Results indicate that the parameters determined by any of shots could be applicable to the rest of other shots, which is convincing proof for the universal property of critical damage function. In our experiments, the shock pressure is about 1 GPa to 2.5 GPa. For the reason of limited pressure range, there are still some limitations in the methods of present analysis. Moreover, according to the damage evolution characteristic of pure aluminum obtained by experiments, two critical damages are obtained, which are 0.11 and 0.51 respectively. The results are coincident with the experimental ones, which indicate that the critical growth behaviour of damage occurs in the plastic metal under dynamic loading.

Keywords: critical damage numerical simulation universal property

Received: 05 May 2009
Revised: 04 July 2009
Accepted manuscript online:

PACS:	62.20.M-	(Structural failure of materials)
	62.50.-p	(High-pressure effects in solids and liquids)
	62.20.F-	(Deformation and plasticity)
	81.40.Np	(Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)
	81.40.Lm	(Deformation, plasticity, and creep)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10876014) and the Science and Technology Foundation of State Key Laboratory of Shock Wave and Detonation Physics (Grant No.~9140C6701010701).

Cite this article:

Qi Mei-Lan(祁美兰) and He Hong-Liang(贺红亮) Simulation of critical behaviour on damage evolution 2010 Chin. Phys. B 19 036201

[1]	Curran D R, Seaman L and Shockey D A 1987 Phys. Rep. 147 253
[2]	Zurek A K, Thissell W R and Trujillo C P 2003 Los AlamosScience p111
[3]	Bandstra J P and Koss D A 2004 Mater. Sci. Eng. A 387--403 399
[4]	Chen J, Chen D Q, Sun J S and Xu Y 2008 Acta. Phys. Sin. 57 6437 (in Chinese)
[5]	Li Y J, Xu A G, Yang Q L, Zhang G C and Zhao Y H 2008 Chin.Phys. B 17 940
[6]	Bandstra J P, Koss D A, Geltmacher A and Everett R K 2004 Mater.Sci. Eng. A 366 269
[7]	Potirniche G P, Hearndon J L, Horstemeyer M F and Ling X W 2005Int. J. Plasticity 22 921
[8]	Sepp?l? E T, Belak J and Rudd R E 2004 Phys. Rev.Lett. 93 1
[9]	Feng J P 1992 Damage Function Model of Dynamic Ductile Fracturein Metal (Beijing: Beijing University of Technology) (in Chinese)
[10]	Wang Y G, He H L, Wang L L and Jing F Q 2006Key. Eng. Mater. 121 324
[11]	Aharony A and Stauffer D 1998 Phys. Rev. Lett. 81 252
[12]	Strachan A, Cagin T and Goddard III W A 2001 Phys. Rev. B 63 1
[13]	Saltykov S A 1958 Stereometric Metallography 2nd. ed (Moscow: Metallurgizdat) p40
[14]	Qi M L and He H L 2008 Journal Wuhan University ofTechnology 30 23(in Cihnese)
[15]	Qi M L, He H L and Yan S L 2007 Acta. Phys. Sin. 56 5965 (inChinese)

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