Abstract
The constitutive behavior of porous materials (including the yield loci, the void growth rate, the macro stress-strain relation and the strain to localization instability) is examined based on the lower bound approach proposed by the present authors. These results are then compared with the experimental and the finite element results as well as those predicted by Gurson's equations. Emphasis is placed on approaching the real behavior from the upper and the lower bound analysis. Calculation is also made on the influence of void nucleation on the critical strain to instability and a modified strain-controlled nucleation criterion is proposed. Finally the instability and fracture of AISI4340 steel in plane strain tension is examined and comparison is made between theoretical and experimental results.
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References
Gurson AL. Continuum theory of ductile rupture by void nucleation and growth: Part 1—Yield criteria and flow rules for porous ductile media.J Eng Mat Tech, 1977, 99: 2–15
Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions.Int J Fract, 1981, 17: 389–407
Sun Y, Wang D. A lower bound approach to the yield loci of porous materials.Acta Mechanica Sinica, 1989, 5: 237–243
Sun Y, Wang D. Analysis of shear localization in porous materials.Acta Mechanica Sinica, 1990, 6: 29–34
Chakrabarti AK. Instability of plastic deformation in the directions of pure shear: II. Experimental,Metall Trans, 1975, 6A: 737–747
Goods SH, Brown LM. The nucleation of cavities by plastic deformation.Acta Metall, 1979, 27: 1–15
Argon AS et al. Cavity formation from inclusions in ductile fracture.Metall Trans, 1975, 6A: 825–838
Chu CC, Needleman A. Void nucleation effects in biaxially stretched sheets.J Eng Mat Tech, 1980, 102: 249–256
Shima S, Oyane M. Plasticity theory for porous metals.Int J Mech Sci, 1976, 18: 285–291
Spitzig WA et al. The evolution of damage and fracture in iron compacts with various initial porosities.Acta Metall, 1988, 36: 1201–1211
Rice JR. The localization of plastic deformation. In: Koiter WT ed. Theoretical and Applied Mechanics. North-Holland, 1977. 207–220
Cox TB, Low JR. An investigation of the plastic fracture of AISI4340 and 18Nickel-200 grade maraging steels.Metall Trans, 1974, 15: 1457–1470
Sun Y. Ph D Thesis. Harbin Institute of Technology, 1989 (in Chinese)
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Yi, S., Duo, W. On the deformation and fracture of porous materials. Acta Mech Sinica 10, 169–175 (1994). https://doi.org/10.1007/BF02486587
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DOI: https://doi.org/10.1007/BF02486587