Void growth and coalescence in porous plastic solids

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Koplik, J.¹; Needleman, A.¹

Void growth and coalescence in porous plastic solids

Int J Solids Struct. 1988;24(8):835-853

©1988 Pergamon Press plc

Affiliations

¹Division of Engineering, Brown University, Providence, RI 02912, U.S.A.
Abstract

A boundary value problem simulating a periodic array of spherical voids in an isotropically hardening elastic-viscoplastic matrix is analyzed. The calculations show a shift from a general axisymmetric deformation state to a mode of uniaxial straining at which point the plastic deformation localizes to the ligament between neighboring voids. This event is associated with the accelerated void growth accompanying coalescence. The numerical results are related to the description of void growth and coalescence within a phenomenological constitutive framework for progressively cavitating solids.
Links

DOI: 10.1016/0020-7683(88)90051-0

WoS: A1988Q528200006
History

Received: 1987-10-01

Revised: 1988-02-24

Cited Works (12)

Year	Entry
1959	Puttick KE. Ductile fracture in metals. Philos Mag. 1959;4(44):964-969.
1979	Goods SH, Brown LM. The nucleation of cavities by plastic deformation. Acta Metall. 1979;27(1):1-15.
1977	Gurson AL. Continuum theory of ductile rupture by void nucleation and growth, I: yield criteria and flow rules for porous ductile media. J Eng Mater Technol. 1977;99(1):2-15.
1984	Needleman A, Tvergaard V. An analysis of ductile rupture in notched bars. J Mech Phys Solids. 1984;32(6):461-490.
1982	Tvergaard V. On localization in ductile materials containing spherical voids. Int J Fract. 1982;18(4):237-252.
1969	Rice JR, Tracey DM. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids. 1969;17(3):201-217.
1984	Tvergaard V, Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 1984;32(1):157-169.
1981	Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract. 1981;17(4):389-407.
1975	Gurson AL. Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth, and Interaction [PhD thesis]. Providence, RI: Brown University; June 1975.
1982	Saje M, Pan J, Needleman A. Void nucleation effects on shear localization in porous plastic solids. Int J Fract. 1982;19(3):163-182.
1968	McClintock FA. A criterion for ductile fracture by the growth of holes. J Appl Mech. June 1968;35(2):363-371.
1988	Becker R, Needleman A, Richmond O, Tvergaard V. Void growth and failure in notched bars. J Mech Phys Solids. 1988;36(3):317-351.

Cited By (22)

Year	Entry
2013	Chen Z, Butcher C. Micromechanics Modelling of Ductile Fracture. Dordrecht, Netherlands: Springer; 2013. Solid Mechanics and Its Applications; vol 195.
2013	Miloud MH, Imad A, Benseddiq N, Bouiadjra BB, Bounif A, Serier B. A numerical analysis of relationship between ductility and nucleation and critical void volume fraction parameters of Gurson–Tvergaard–Needleman model. Proc Inst Mech Eng Part C-J Eng Mech Eng Sci. November 2013;227(11):2634-2646.
2000	Zhang ZL, Thaulow C, Ødegård J. A complete Gurson model approach for ductile fracture. Eng Fract Mech. September 1, 2000;67(2):155-168.
2016	Klingbeil D, Svendsen B, Reusch F. Gurson-based modelling of ductile damage and failure during cyclic loading processes at large deformation. Eng Fract Mech. July 2016;160:95-123.
1996	Zhang ZL. A sensitivity analysis of material parameters for the Gurson constitutive model. Fatigue Fract Eng Mater Struct. 1996;19(5):561-570.
1997	Tvergaard V, Needleman A. Nonlocal effects on localization in a void-sheet. Int J Solids Struct. 1997;34(18):2221-2238.
2005	Bilger N, Auslender F, Bornert M, Michel J-C, Moulinec H, Suquet P, Zaoui A. Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis. Int J Solids Struct. January 2005;42(2):517-538.
1988	Becker R, Needleman A, Richmond O, Tvergaard V. Void growth and failure in notched bars. J Mech Phys Solids. 1988;36(3):317-351.
1990	Worswick MJ, Pick RJ. Void growth and constitutive softening in a periodically voided solid. J Mech Phys Solids. 1990;38(5):601-625.
2000	Pardoen T, Hutchinson JW. An extended model for void growth and coalescence. J Mech Phys Solids. December 2000;48(12):2467-2512.
2003	Thomson CIA, Worswick MJ, Pilkey AK, Lloyd DJ. Void coalescence within periodic clusters of particles. J Mech Phys Solids. 2003;51(1):127-146.
2008	Siad L, Ouali MO, Benabbe A. Comparison of explicit and implicit finite element simulations of void growth and coalescence in porous ductile materials. Mater Des. 2008;29(2):319-329.
2012	Chhibber R, Singh H, Arora N, Dutta BK. Micromechanical modelling of reactor pressure vessel steel. Mater Des. April 2012;36:258-274.
2011	Butcher C, Chen ZT. Characterizing void nucleation in a damage-based constitutive model using notched tensile sheet specimens. Theor Appl Fract Mech. April 2011;55(2):140-147.
1997	Pilkey AK. Effect of Second-Phase Particle Clustering on Aluminum-Silicon Alloy Sheet Formability [PhD thesis]. Carleton University; July 15, 1997.
2001	Thomson CIA. Modeling the Effects of Particle Clustering on Ductile Failure [PhD thesis]. Carleton University; May 2001.
2008	Hu C. Locally Enhanced Voronoi Cell Finite Element Model (LE-VCFEM) for Ductile Fracture in Heterogeneous Cast Aluminum [PhD thesis]. Columbus, OH: Ohio State University; 2008.
2015	Guzmán CF. Experimental and Numerical Characterization of Damage and Application to Incremental Forming [PhD thesis]. Liège, Belgique: Université de Liège; November 2015.
2011	Butcher C. A Multi-Scale Damage Percolation Model of Ductile Fracture [PhD thesis]. Fredricton, NB: The University of New Brunswick; August 2011.
2011	Srivastava A. Void Growth and Collapse in a Creeping Single Crystal [Master's thesis]. University of North Texas; August 2011.
2004	Chen Z. The Role of Heterogeneous Particle Distribution in the Prediction of Ductile Fracture [PhD thesis]. University of Waterloo; 2004.
2018	Pathak N. Characterization and Modeling of Sheared Edge Failure in Advanced High Strength Steel [PhD thesis]. University of Waterloo; 2018.