Micromechanics Modelling of Ductile Fracture

Affiliations

¹Department of Mechanical Engineering, University of New Brunswick, Dineen Drive 15, Fredericton, E3B 5A3, New Brunswick, Canada

²Department of Mechanical and Mechatronic, University of Waterloo, University Avenue West 200, Waterloo, N2L 3G1, Ontario, Canada

Links

DOI: 10.1007/978-94-007-6098-1

ISBN: 978-94-007-6097-4

Cited Works (44)

Year	Entry
2006	Orlov OS. A Three-Dimensional Damage Percolation Model [PhD thesis]. Waterloo, ON: University of Waterloo; 2006.
1948	Hill R. A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lon Ser-A. May 27, 1948;193(1033):281-297.
1997	Tvergaard V, Needleman A. Nonlocal effects on localization in a void-sheet. Int J Solids Struct. 1997;34(18):2221-2238.
2001	Thomson CIA. Modeling the Effects of Particle Clustering on Ductile Failure [PhD thesis]. Carleton University; May 2001.
1990	Thomason PF. Ductile Fracture of Metals. Pergamon Press; 1990.
2003	Chen ZT, Worswick MJ, Cinotti N, Pilkey AK, Lloyd D. A linked FEM-damage percolation model of aluminum alloy sheet forming. Int J Plast. December 2003;19(12):2099-2120.
2004	Chen Z. The Role of Heterogeneous Particle Distribution in the Prediction of Ductile Fracture [PhD thesis]. University of Waterloo; 2004.
1997	Pilkey AK. Effect of Second-Phase Particle Clustering on Aluminum-Silicon Alloy Sheet Formability [PhD thesis]. Carleton University; July 15, 1997.
1981	Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int J Fract. 1981;17(4):389-407.
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.
1998	Pilkey AK, Worswick MJ, Thomson CIE, Burger G, Lloyd DJ. Effect of second-phase particle clustering on formability of Al-Si sheet. In: Wilkinson DS, Poole W, Alpas A, eds. Advances in Industrial Materials. The Metallurgical Society of CIM; 1998:105-121.
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.
1984	Tvergaard V, Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 1984;32(1):157-169.
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.
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.
1948	Voce E. The relationship between stress and strain for homogeneous deformations. J Inst Metals. 1948;74:537-562.
2011	Griffin J, Butcher C, Chen Z. On using a dual bound approach to characterize the yield behaviour of porous ductile materials containing void clusters. Int J Fract. 2011;169(1):97-104.
1996	Zhang ZL. A sensitivity analysis of material parameters for the Gurson constitutive model. Fatigue Fract Eng Mater Struct. 1996;19(5):561-570.
1968	McClintock FA. A criterion for ductile fracture by the growth of holes. J Appl Mech. June 1968;35(2):363-371.
2006	Bardelcik A. Effect of Pre-Bending and Hydroforming Parameters on the Formability of Advanced High Strength Steel Tube [Master's thesis]. University of Waterloo; 2006.
2004	Lievers WB, Pilkey AK, Lloyd DJ. Using incremental forming to calibrate a void nucleation model for automotive aluminum sheet alloys. Acta Mater. June 7, 2004;52(10):3001-3007.
1979	Goods SH, Brown LM. The nucleation of cavities by plastic deformation. Acta Metall. 1979;27(1):1-15.
2001	Worswick MJ, Chen ZT, Pilkey AK, Lloyd D, Court S. Damage characterization and damage percolation modelling in aluminum alloy sheet. Acta Mater. August 16, 2001;49(14):2791-2803.
1957	Eshelby JD. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proc R Soc Lon Ser-A. 1957;241(1226):376-396.
1988	Koplik J, Needleman A. Void growth and coalescence in porous plastic solids. Int J Solids Struct. 1988;24(8):835-853.
2011	Butcher C. A Multi-Scale Damage Percolation Model of Ductile Fracture [PhD thesis]. Fredricton, NB: The University of New Brunswick; August 2011.
1999	Thomson CIA, Worswick MJ, Pilkey AK, Lloyd DJ, Burger G. Modeling void nucleation and growth within periodic clusters of particles. J Mech Phys Solids. 1999;47(1):1-26.
2009	Butcher CJ, Chen Z. Continuum void nucleation model for Al-Mg alloy sheet based on measured particle distribution. Acta Mech Solida Sin. October 2009;22(5):391-398.
1998	Worswick MJ, Pelletier P. Numerical simulation of ductile fracture during high strain rate deformation. Euro Phys J Appl Phys. 1998;4(3):257-267.
1969	Rice JR, Tracey DM. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids. 1969;17(3):201-217.
2007	Weck AG. The Role of Coalescence on Ductile Fracture [PhD thesis]. Hamilton, ON: McMaster University; March 2007.
2005	Baradari JG. Damage in Hydroforming of Pre-Bent Aluminum Alloy Tubes [PhD thesis]. University of Waterloo; 2005.
2000	Pardoen T, Hutchinson JW. An extended model for void growth and coalescence. J Mech Phys Solids. December 2000;48(12):2467-2512.
1980	Chu CC, Needleman A. Void nucleation effects in biaxially stretched sheets. J Eng Mater Technol. 1980;102(3):249-256.
2009	Butcher CJ, Chen ZT. Damage percolation modeling of void nucleation within heterogeneous particle distributions. Model Simul Mater Sci Eng. 2009;17(7):075003.
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.
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.
1987	Needleman A. A continuum model for void nucleation by inclusion debonding. J Appl Mech. September 1987;54(3):525-531.
1993	Thomason PF. Ductile fracture by the growth and coalescence of microvoids of non-uniform size and spacing. Acta Metall Mater. July 1993;41(7):2127-2134.
2006	Butcher C, Chen Z, Worswick M. A lower bound damage-based finite element simulation of stretch flange forming of Al–Mg alloys. Int J Fract. December 2006;142(3-4):289-298.
1995	Tvergaard V, Needleman A. Effects of nonlocal damage in porous plastic solids. Int J Solids Struct. April–May 1995;32(8-9):1063-1077.
1973	Mori T, Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. May 1973;21(5):571-574.
1988	Worswick MJ. Cavity Growth and Constitutive Softening in Ductile Solids [PhD thesis]. University of Waterloo; 1988.
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.

Cited By (5)

Year	Entry
2018	Scott H. Effects of Microstructure and Particle Population on Void Damage Evolution in Complex Phase Steel [PhD thesis]. Queen's University; September 2018.
2017	Cui Y. Molecular Dynamics Insights Into Nanovoid Behavior in Metals: From Sparsely-Arranged Nanovoids to Densely-Arranged Nanopores [PhD thesis]. Edmonton, AB: University of Alberta; 2017.
2018	Kim S. Dynamic and Quasi-Static Response of Warm and Hot Formed Aluminum Beams Under Three-Point Bending [Master's thesis]. University of Waterloo; 2018.
2021	Samadian P. Constitutive and Fracture Characterization and Modelling of Monolithic and Tailor-Welded Blanks of Press-Hardening Steels [PhD thesis]. University of Waterloo; 2021.
2022	Rahmaan MT. Constitutive and Fracture Characterization of High Strength Aluminum Alloys At Low and Elevated Strain Rates [PhD thesis]. University of Waterloo; 2022.