Approximate models for ductile metals containing non-spherical voids—Case of axisymmetric prolate ellipsoidal cavities

Gologanu, Mihai; Leblond, Jean-Baptiste; Devaux, J.

doi:10.1016/0022-5096(93)90029-f

Cited by 497 publications

(282 citation statements)

References 13 publications

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“…Studies focussing on the effect of void shape have also been carried out by Gologanu et al (1993Gologanu et al ( , 1994 and Pardoen and Hutchinson (2000). These studies all rest on conventional models of plasticity, which is size-independent.…”

Section: Introductionmentioning

confidence: 99%

Void growth to coalescence in a non-local material

Niordson

2008

European Journal of Mechanics - A/Solids

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-The size-effect in metals containing distributed spherical voids is analyzed numerically using a finite strain generalization of a length scale dependent plasticity theory. Results are obtained for stress-triaxialities relevant in front of a crack tip in an elastic-plastic metal. The influence of different material length parameters in a multi-parameter theory is studied, and it is shown that the important length parameter is the same as under purely hydrostatic loading. It is quantified how micron scale voids grow less rapidly than larger voids, and the implications of this in the overall strength of the material is emphasized. The size effect on the onset of coalescence is studied, and results for the void volume fraction and the strain at the onset of coalescence are presented. It is concluded that for cracked specimens not only the void volume fraction, but also the typical void size is of importance to the fracture strength of ductile materials.

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Section: Introductionmentioning

confidence: 99%

Void growth to coalescence in a non-local material

Niordson

2008

European Journal of Mechanics - A/Solids

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“…The voids are thus assumed to rotate with the material. This is the assumption also proposed by Gologanu [20][21][22]. A more accurate void rotation law, motivated by 3D finite element void cell calculations, as been recently developed (see [43] in which a modified version of the coalescence model is also introduced).…”

Section: Yield Surfacesmentioning

confidence: 99%

“…• The first yield surface Φ growth is a Gurson-type yield surface derived by GologanuLeblond-Devaux for spheroidal voids [20][21][22] and extended to strain hardening materials [10]. The yield function Φ coalescence has been developed in the spirit of the work by Thomason [23], extended to the full coalescence response and to strain hardening materials.…”

Section: Yield Surfacesmentioning

confidence: 99%

“…An extension of the Gurson model [1] based on the contributions by Gologanu et al [20][21][22] and Thomason [23] and accounting for the effect of the growth and coalescence of spheroidal voids 1 on the behaviour of the material has been presented by Pardoen and Hutchinson [10][11][12]. The response of the matrix is assumed to obey J2 flow theory.…”

Section: Appendix a -Brief Description Of The Extended Gurson Modelmentioning

confidence: 99%

“…• Gologanu et al [20][21][22] derived analytical relationships for the dummy parameters C, η, g, κ, h 1 , h 2 , α 2 in terms of the state variables W and f (see also [10] for full expression).…”

Section: Yield Surfacesmentioning

confidence: 99%

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