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Erschienen in: International Journal of Material Forming 2/2017

08.09.2015 | Review

Models for ductile damage and fracture prediction in cold bulk metal forming processes: a review

verfasst von: Trong Son Cao

Erschienen in: International Journal of Material Forming | Ausgabe 2/2017

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Abstract

Ductile damage and fracture prediction in real size structures subjected to complex loading conditions has been of utmost interest in the scientific and engineering community in the past century. Numerical simulations with nonlinear finite element (FE) codes allow investigating various complicated problems for damage and fracture prediction in real scale models, which is an important topic in many industries, including metal forming industry. For all industrial cold forming processes, the ability of numerical modeling to predict ductile fracture is crucial. However, this ability is still limited because of the complex loading paths (multi-axial and non-proportional loadings) and important shear effects in several forming processes. The development robust damage and fracture prediction models is essential to obtain realistic results for both geometry precision and mechanical properties. The present article reviews the models in three approaches of ductile damage, namely: uncoupled phenomenological model (or fracture criteria), coupled phenomenological models, and micromechanics-based models, which have been developed to predict ductile fracture in metal forming processes. The objective is to supply to engineers and scientists an overview on a “top-down” procedure to be able to construct predictive tools for metal forming processes.

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Fußnoten
1
The upper bound method consists of two stages: (1) find a kinematically admissible velocity field (or a family of velocity fields that is compatible with the boundary conditions); (2) within the proposed family, find the one that minimizes the plastic dissipation.
 
2
In Fig. 2a, at low stress triaxiality (η<1), a change of the stress triaxiality leads to a more significant change of E c than at higher stress triaxiality.
 
3
MnS inclusions are soft inclusions, which are two times softer than steel matrix. The inclusion in a matrix is said soft when its yield stress is smaller than that of matrix. In the other case, it is said hard. The ratio between the particle yield stress and the matrix yield stress is called the relative plasticity [43].
 
4
Poisson’s ratio was shown to have minor influence [44].
 
5
The word “complete” refers to the capacity of this model to simulate the whole process of ductile fracture, from void nucleation to void coalescence.
 
6
In the studies of Zapara et al. [60] and Tutyshkin et al. [61], the cylindrical specimens contained artificial voids, i.e., drilled holes were used, which allowed describing more accurately the fracture mechanisms in their upsetting tests (due to the difficulty of observing real voids inside the normal cylindrical sample under compression).
 
7
\(\eta _{av} = \frac {1}{\overline {\epsilon }_{f}}{\int }_{0}^{\overline {\epsilon }_{f}}{\eta (\overline {\epsilon }_{p}) d\overline {\epsilon }_{p}} \text {, } \overline {\theta }_{av} = \frac {1}{\overline {\epsilon }_{f}}{\int }_{0}^{\overline {\epsilon }_{f}}{\overline {\theta }(\overline {\epsilon }_{p}) d\overline {\epsilon }_{p}}\) are respectively the strain-averaged values of the stress triaxiality and the Lode parameter.
 
8
The volume fraction that can be nucleated is equal to \({\int }_{0}^{\infty {A\left (\overline {\epsilon }_{p}\right )d{\overline {\epsilon }_{p}}}}\), whereas \(f_{N} = {\int }_{-\infty }^{\infty {A\left (\overline {\epsilon }_{p}\right )d{\overline {\epsilon }_{p}}}}\). If S N is small enough with respect to 𝜖 N , \(f_{N} = {\int }_{-\infty }^{\infty {A\left (\overline {\epsilon }_{p}\right )d{\overline {\epsilon }_{p}}}} \approx {\int }_{0}^{\infty {A\left (\overline {\epsilon }_{p}\right )d{\overline {\epsilon }_{p}}}}\).
 
9
The VAR, MVAR, and GVAR models handle also general ellipsoidal voids.
 
10
This observation was later taken into account by [94] to modify the nucleation strain of the GTN model.
 
11
These authors also showed that the B&W model also provided correct results for the round wire rolling process.
 
12
See [188] for the details on the implementation of the Gurson model in a FE element code (Forge®) dedicated to forming processes simulation based on a mixed velocity-pressure FE formulation.
 
13
For the original GTN model, the thermodynamic consistency can also be demonstrated provided that the void nucleation is absent (as already shown in [3, 24]). A thermodynamic extension of the existing local Gurson-based model was presented in Reusch et al. [189].
 
Literatur
1.
Zurück zum Zitat Tvergaard V (1989) Elsevier, pp 83–151 Tvergaard V (1989) Elsevier, pp 83–151
2.
Zurück zum Zitat Benzerga AA, Leblond JB (2010) In: Advances in Applied Mechanics, vol 44. Elsevier, pp 169–305 Benzerga AA, Leblond JB (2010) In: Advances in Applied Mechanics, vol 44. Elsevier, pp 169–305
3.
Zurück zum Zitat Besson J (2010) Int J Damage Mech 19(1):3 Besson J (2010) Int J Damage Mech 19(1):3
10.
Zurück zum Zitat Dalloz A, Besson J, Gourgues-Lorenzon AF, Sturel T, Pineau A (2009) Eng Fract Mech 76 (10):1411CrossRef Dalloz A, Besson J, Gourgues-Lorenzon AF, Sturel T, Pineau A (2009) Eng Fract Mech 76 (10):1411CrossRef
11.
15.
17.
Zurück zum Zitat Scheyvaerts F, Onck P, Tekoglu C, Pardoen T (2011) J Mech Phys Solids 59(2):373CrossRef Scheyvaerts F, Onck P, Tekoglu C, Pardoen T (2011) J Mech Phys Solids 59(2):373CrossRef
18.
Zurück zum Zitat Benzerga AA, Leblond JB (2014) J Appl Mech 81(3):031009 Benzerga AA, Leblond JB (2014) J Appl Mech 81(3):031009
19.
Zurück zum Zitat Gologanu M, Leblond JB, Devaux J (1993) J Mech Phys Solids 41(11):1723CrossRef Gologanu M, Leblond JB, Devaux J (1993) J Mech Phys Solids 41(11):1723CrossRef
20.
21.
23.
Zurück zum Zitat Leblond JB, Perrin G, Devaux J (1995) European journal of mechanics and Solids 14(4):499MathSciNet Leblond JB, Perrin G, Devaux J (1995) European journal of mechanics and Solids 14(4):499MathSciNet
26.
Zurück zum Zitat Benzerga AA, Besson J, Pineau A, Eng J (1999) Mater Technol 121(2):221CrossRef Benzerga AA, Besson J, Pineau A, Eng J (1999) Mater Technol 121(2):221CrossRef
27.
28.
29.
32.
33.
34.
35.
37.
Zurück zum Zitat Gurland J, Plateau J (1963) Trans ASM 56:442 Gurland J, Plateau J (1963) Trans ASM 56:442
41.
Zurück zum Zitat J.D. Eshelby (1957) In: Proceedings of the Royal Society of London, vol 241, p 376 J.D. Eshelby (1957) In: Proceedings of the Royal Society of London, vol 241, p 376
42.
43.
Zurück zum Zitat A.A. Benzerga Rupture ductile des tôles anisotropes. Ph.D. thesis, Ecole nationale supérieure des Mines de Paris. 2000. French A.A. Benzerga Rupture ductile des tôles anisotropes. Ph.D. thesis, Ecole nationale supérieure des Mines de Paris. 2000. French
46.
Zurück zum Zitat Needleman A, Rice JC (1978) Mechanics of sheet metal forming:237–267 Needleman A, Rice JC (1978) Mechanics of sheet metal forming:237–267
47.
49.
Zurück zum Zitat Thomason PF (1990) Ductile Fracture of Metals. Pergamon Press, Oxford Thomason PF (1990) Ductile Fracture of Metals. Pergamon Press, Oxford
51.
Zurück zum Zitat Pardoen T, Scheyvaerts F, Simar A, Tekoglu C, Onck PR (2010) Comptes Rendus Physique 11 (3-4):326CrossRef Pardoen T, Scheyvaerts F, Simar A, Tekoglu C, Onck PR (2010) Comptes Rendus Physique 11 (3-4):326CrossRef
53.
Zurück zum Zitat Weck A (2007) The role of coalescence on ductile fracture. Ph.D. thesis, McMaster University Weck A (2007) The role of coalescence on ductile fracture. Ph.D. thesis, McMaster University
54.
Zurück zum Zitat L.M. Brown, J.D. Emburry (1973) In: Proceeding of 3rd International conference on the Strength of Metals and Alloys, Cambridge L.M. Brown, J.D. Emburry (1973) In: Proceeding of 3rd International conference on the Strength of Metals and Alloys, Cambridge
55.
56.
Zurück zum Zitat Fritzen F, Forest S, Bȯhlke T, Kondo D, Kanit T (2012) Int J Plast 29(0):102CrossRef Fritzen F, Forest S, Bȯhlke T, Kondo D, Kanit T (2012) Int J Plast 29(0):102CrossRef
57.
Zurück zum Zitat Khdir YK, Kanit T, Zaïri F, Naït-Abdelaziz M (2015) Eur J Mech A Solids 49(0):137–145 Khdir YK, Kanit T, Zaïri F, Naït-Abdelaziz M (2015) Eur J Mech A Solids 49(0):137–145
58.
Zurück zum Zitat Landron C (2011) Ductile damage characterization in Dual-Phase steels using X-ray tomography. Ph.D. thesis, L’Institut National des Sciences Appliquées de Lyon Landron C (2011) Ductile damage characterization in Dual-Phase steels using X-ray tomography. Ph.D. thesis, L’Institut National des Sciences Appliquées de Lyon
60.
Zurück zum Zitat Zapara M, Tutyshkin N, Müller WH (2013) Key Eng Mater 1125:554–557 Zapara M, Tutyshkin N, Müller WH (2013) Key Eng Mater 1125:554–557
61.
Zurück zum Zitat Tutyshkin N, Müller WH, Wille R, Zapara M (2014) Int J Plast 59(0):133CrossRef Tutyshkin N, Müller WH, Wille R, Zapara M (2014) Int J Plast 59(0):133CrossRef
62.
Zurück zum Zitat Cao TS, Gaillac A, Montmitonnet P, Bouchard PO (2013) Int J Solids Struct 50(24):3984CrossRef Cao TS, Gaillac A, Montmitonnet P, Bouchard PO (2013) Int J Solids Struct 50(24):3984CrossRef
63.
Zurück zum Zitat Kweon SS, Beaudoin AJ (2010) R.J. McDonald. J Eng Mater Technol 132(3) Kweon SS, Beaudoin AJ (2010) R.J. McDonald. J Eng Mater Technol 132(3)
65.
Zurück zum Zitat Achouri M, Germain G, Santo PD, Saidane D (2013) Materials & Design 50(0):207 Achouri M, Germain G, Santo PD, Saidane D (2013) Materials & Design 50(0):207
66.
Zurück zum Zitat Budiansky B, Hutchinson JW, Slutsky S (1982) The Rodney Hill 60th anniversary volume:13–34 Budiansky B, Hutchinson JW, Slutsky S (1982) The Rodney Hill 60th anniversary volume:13–34
67.
69.
72.
Zurück zum Zitat Cockcroft M, Latham DJ (1968) Ductility and workability of metals, vol 96. 1 Carlton House Terrace, England Cockcroft M, Latham DJ (1968) Ductility and workability of metals, vol 96. 1 Carlton House Terrace, England
73.
Zurück zum Zitat Wilkins ML, Streit RD, Reaugh JE (1980) Technical report UCRL-53058. Lawrence Livermore National Laboratory Wilkins ML, Streit RD, Reaugh JE (1980) Technical report UCRL-53058. Lawrence Livermore National Laboratory
75.
Zurück zum Zitat Xue L (2007) Duct ile fracture modeling - Theory, experimental investigation and numerical verification. Ph.D. thesis. Massachusetts Institute of Technology (MIT) Xue L (2007) Duct ile fracture modeling - Theory, experimental investigation and numerical verification. Ph.D. thesis. Massachusetts Institute of Technology (MIT)
76.
78.
79.
Zurück zum Zitat Kachanov LM (1958) Proc Acad Sci USSR Div Eng Sci 8:26 Kachanov LM (1958) Proc Acad Sci USSR Div Eng Sci 8:26
82.
Zurück zum Zitat Lemaitre J, Desmorat R (2005) Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures. Springer, Berlin Lemaitre J, Desmorat R (2005) Engineering Damage Mechanics: Ductile, Creep, Fatigue and Brittle Failures. Springer, Berlin
85.
Zurück zum Zitat Chandrakanth S, Pandey PC (1993) Int J Fract 60:R73 Chandrakanth S, Pandey PC (1993) Int J Fract 60:R73
86.
Zurück zum Zitat Bouchard PO, Bourgeon L, Fayolle S, Mocellin K (2011) Int J Mater Form 4:299CrossRef Bouchard PO, Bourgeon L, Fayolle S, Mocellin K (2011) Int J Mater Form 4:299CrossRef
87.
Zurück zum Zitat Saanouni K, Chaboche J (2003) In: Milne I Ritchie R Karihaloo B (eds) Comprehensive Structural Integrity. Pergamon, Oxford, pp 321–376 Saanouni K, Chaboche J (2003) In: Milne I Ritchie R Karihaloo B (eds) Comprehensive Structural Integrity. Pergamon, Oxford, pp 321–376
88.
Zurück zum Zitat Cao TS, Gachet JM, Montmitonnet P, Bouchard PO (2014) Eng Fract Mech 124-125(0):80CrossRef Cao TS, Gachet JM, Montmitonnet P, Bouchard PO (2014) Eng Fract Mech 124-125(0):80CrossRef
89.
Zurück zum Zitat Cao TS, Bobadilla C, Montmitonnet P, Bouchard PO (2013) Key Eng Mater 213:554–557 Cao TS, Bobadilla C, Montmitonnet P, Bouchard PO (2013) Key Eng Mater 213:554–557
91.
Zurück zum Zitat Cao TS, Bobadilla C, Montmitonnet P, Bouchard PO (2015) J Mater Process Technol 216(0):385CrossRef Cao TS, Bobadilla C, Montmitonnet P, Bouchard PO (2015) J Mater Process Technol 216(0):385CrossRef
92.
Zurück zum Zitat Gologanu M, Leblond JB, Devaux J (1994). J Mater Process Technol 116(3):290CrossRef Gologanu M, Leblond JB, Devaux J (1994). J Mater Process Technol 116(3):290CrossRef
93.
94.
Zurück zum Zitat Cao TS, Maire E, Verdu C, Bobadilla C, Lasne P, Montmitonnet P, Bouchard PO (2014). Comput Mater Sci 84(0):175CrossRef Cao TS, Maire E, Verdu C, Bobadilla C, Lasne P, Montmitonnet P, Bouchard PO (2014). Comput Mater Sci 84(0):175CrossRef
95.
Zurück zum Zitat Bouaziz O, Maire E, Giton M, Lamarre J, Salingue Y, Dimichiele M (2008) Revue de Métallurgie 105:102 Bouaziz O, Maire E, Giton M, Lamarre J, Salingue Y, Dimichiele M (2008) Revue de Métallurgie 105:102
96.
99.
Zurück zum Zitat Steglich W, Brocks W (1998). Fatigue Fract Eng Mater Struct 21(10):1175CrossRef Steglich W, Brocks W (1998). Fatigue Fract Eng Mater Struct 21(10):1175CrossRef
100.
101.
102.
103.
104.
105.
Zurück zum Zitat Cazacu O, Revil-Baudard B, Lebensohn RA, Garajeu M (2013) J Appl Mech 80(6):064501 Cazacu O, Revil-Baudard B, Lebensohn RA, Garajeu M (2013) J Appl Mech 80(6):064501
107.
Zurück zum Zitat Leblond JB, Morin L (2014) J Appl Mech 81(5):051012 Leblond JB, Morin L (2014) J Appl Mech 81(5):051012
110.
Zurück zum Zitat Aravas N, Ponte Castañeda P (2004) Comput Methods Appl Mech Eng 193(36-38):3767CrossRef Aravas N, Ponte Castañeda P (2004) Comput Methods Appl Mech Eng 193(36-38):3767CrossRef
111.
Zurück zum Zitat Danas K, Aravas N (2012) Homogenization and Micromechanics of Smart and Multifunctional Materials. Compos Part B 43(6):2544CrossRef Danas K, Aravas N (2012) Homogenization and Micromechanics of Smart and Multifunctional Materials. Compos Part B 43(6):2544CrossRef
114.
117.
Zurück zum Zitat Cao TS, Mazière M, Danas K, Besson J (2015) Int J Solids Struct 63(0):240CrossRef Cao TS, Mazière M, Danas K, Besson J (2015) Int J Solids Struct 63(0):240CrossRef
121.
Zurück zum Zitat Tvergaard V (1982) Int J Fract 18(4):237 Tvergaard V (1982) Int J Fract 18(4):237
122.
125.
127.
Zurück zum Zitat Zybell L, Hu̇tter G, Linse T, Mu̇hlich U, Kuna M (2014) Eur J Mech A Solids 45(0):8CrossRef Zybell L, Hu̇tter G, Linse T, Mu̇hlich U, Kuna M (2014) Eur J Mech A Solids 45(0):8CrossRef
129.
Zurück zum Zitat Bridgman PW (1952) Studies in large plastic flow and fracture. Harvard University Press, CambridgeMATH Bridgman PW (1952) Studies in large plastic flow and fracture. Harvard University Press, CambridgeMATH
130.
Zurück zum Zitat Peng J, Wu PD, Huang Y, Chen XX, Lloyd DJ, Embury JD, Neale KW (2009) Int J Solids Struct 46(20):3741CrossRef Peng J, Wu PD, Huang Y, Chen XX, Lloyd DJ, Embury JD, Neale KW (2009) Int J Solids Struct 46(20):3741CrossRef
132.
Zurück zum Zitat Papasidero J, Doquet V, Mohr D (2015) Int J Solids Struct 459:69–70 Papasidero J, Doquet V, Mohr D (2015) Int J Solids Struct 459:69–70
133.
Zurück zum Zitat Beese AM, Luo M, Li Y, Bai Y, Wierzbicki T (2010) Eng Fract Mech 77(7):1128CrossRef Beese AM, Luo M, Li Y, Bai Y, Wierzbicki T (2010) Eng Fract Mech 77(7):1128CrossRef
134.
Zurück zum Zitat Haltom SS, Kyriakides S, Ravi-Chandar K (2013) Int J Solids Struct 50(10):1507CrossRef Haltom SS, Kyriakides S, Ravi-Chandar K (2013) Int J Solids Struct 50(10):1507CrossRef
135.
Zurück zum Zitat Cao TS (2013) Modeling ductile damage for complex loading paths. Ph.D. thesis, Ecole Nationale Supérieure des Mines de Paris Cao TS (2013) Modeling ductile damage for complex loading paths. Ph.D. thesis, Ecole Nationale Supérieure des Mines de Paris
137.
Zurück zum Zitat Gachet JM, Delattre G, Bouchard PO (2014) Eng Fract Mech 124-125(0):121CrossRef Gachet JM, Delattre G, Bouchard PO (2014) Eng Fract Mech 124-125(0):121CrossRef
139.
140.
Zurück zum Zitat Mae H, Teng X, Bai Y, Wierzbicki T (2007) Mater Sci Eng A 459(1-2):156CrossRef Mae H, Teng X, Bai Y, Wierzbicki T (2007) Mater Sci Eng A 459(1-2):156CrossRef
141.
142.
143.
Zurück zum Zitat Massé T (2010) Study and optimization of high carbon steel flat wires. Ph.D. thesis, Ecole nationale supérieure des Mines de Paris Massé T (2010) Study and optimization of high carbon steel flat wires. Ph.D. thesis, Ecole nationale supérieure des Mines de Paris
144.
Zurück zum Zitat Cao TS, Vachey C, Montmitonnet P, Bouchard PO (2015) J Mater Process Technol 217(0):30CrossRef Cao TS, Vachey C, Montmitonnet P, Bouchard PO (2015) J Mater Process Technol 217(0):30CrossRef
145.
Zurück zum Zitat Gachet JM, Delattre G, Bouchard PO (2015) J Mater Process Technol 216(0):260CrossRef Gachet JM, Delattre G, Bouchard PO (2015) J Mater Process Technol 216(0):260CrossRef
146.
Zurück zum Zitat Bettaieb MB, Lemoine X, Bouaziz O, Habraken AM, Duchêne L (2011) Mech Mater 43(3):139CrossRef Bettaieb MB, Lemoine X, Bouaziz O, Habraken AM, Duchêne L (2011) Mech Mater 43(3):139CrossRef
147.
Zurück zum Zitat Fansi J, Balan T, Lemoine X, Maire E, Landron C, Bouaziz O, Bettaieb MB, Habraken AM (2013) Mater Sci Eng A 569(0):1CrossRef Fansi J, Balan T, Lemoine X, Maire E, Landron C, Bouaziz O, Bettaieb MB, Habraken AM (2013) Mater Sci Eng A 569(0):1CrossRef
148.
149.
150.
Zurück zum Zitat Maire E, Bouaziz O, Michiel MD, Verdu C (2008) Acta Materialia 56(18):4954CrossRef Maire E, Bouaziz O, Michiel MD, Verdu C (2008) Acta Materialia 56(18):4954CrossRef
151.
Zurück zum Zitat Landron C, Maire E, Adrien J, Bouaziz O (2011) Optical Measurements, Modeling, and Metrology. In: Conference Proceedings of the Society for Experimental Mechanics Series, vol 5. Springer, New York, pp 11–18 Landron C, Maire E, Adrien J, Bouaziz O (2011) Optical Measurements, Modeling, and Metrology. In: Conference Proceedings of the Society for Experimental Mechanics Series, vol 5. Springer, New York, pp 11–18
152.
Zurück zum Zitat Fabrègue D, Landron C, Bouaziz O, Maire E (2013) Mater Sci Eng A 579(0):92CrossRef Fabrègue D, Landron C, Bouaziz O, Maire E (2013) Mater Sci Eng A 579(0):92CrossRef
153.
154.
Zurück zum Zitat Bouchard PO, Gachet JM, Roux E (2011) Homogenization and Micromechanics of Smart and Multifunctional Materials. In: The 14th international Esaform conference on material forming: Esaform 2011, AIP Conference Proceedings, vol 1353, p 47 Bouchard PO, Gachet JM, Roux E (2011) Homogenization and Micromechanics of Smart and Multifunctional Materials. In: The 14th international Esaform conference on material forming: Esaform 2011, AIP Conference Proceedings, vol 1353, p 47
155.
157.
Zurück zum Zitat Peerlings RHJ, Borst RD, Brekelmans WAM, Vree JHPD (1996) Int J Numer Methods Eng 39:3391CrossRef Peerlings RHJ, Borst RD, Brekelmans WAM, Vree JHPD (1996) Int J Numer Methods Eng 39:3391CrossRef
158.
Zurück zum Zitat Abbasi M, Ketabchi M, Izadkhah H, Fatmehsaria DH, Aghbash AN (2011). Procedia Engineering 10(0):415CrossRef Abbasi M, Ketabchi M, Izadkhah H, Fatmehsaria DH, Aghbash AN (2011). Procedia Engineering 10(0):415CrossRef
160.
Zurück zum Zitat Besson J, Steglich D, Brocks W (2001). Int J Solids Struct 38(46-47):8259CrossRef Besson J, Steglich D, Brocks W (2001). Int J Solids Struct 38(46-47):8259CrossRef
161.
165.
Zurück zum Zitat Mediavilla J, Peerlings RHJ, Geers MGD (2006). International Journal For Numerical Methods In Engineering 66(4):661CrossRef Mediavilla J, Peerlings RHJ, Geers MGD (2006). International Journal For Numerical Methods In Engineering 66(4):661CrossRef
166.
Zurück zum Zitat Mediavilla J, Peerlings RHJ, Geers MGD (2006a) Comput Struct 84(8-9):604CrossRef Mediavilla J, Peerlings RHJ, Geers MGD (2006a) Comput Struct 84(8-9):604CrossRef
167.
Zurück zum Zitat Feld-Payet S, Chiaruttini V, Feyel F (2013) In: Conference Proceedings - CFRAC 2013 Repro Fetterle, Prague, Czech Republic, p 96 Feld-Payet S, Chiaruttini V, Feyel F (2013) In: Conference Proceedings - CFRAC 2013 Repro Fetterle, Prague, Czech Republic, p 96
169.
Zurück zum Zitat Mȯes N, Dolbow J, Belytschko T (1999) Int J Numer Methods Eng 46(1):131CrossRef Mȯes N, Dolbow J, Belytschko T (1999) Int J Numer Methods Eng 46(1):131CrossRef
170.
Zurück zum Zitat Besson J (2013) In: Conference Proceedings - CFRAC 2013 Repro Fetterle, Prague, Czech Republic, p 101 Besson J (2013) In: Conference Proceedings - CFRAC 2013 Repro Fetterle, Prague, Czech Republic, p 101
171.
Zurück zum Zitat Besson J, Cao TS, Chiaruttini V, Feld-Payet S (2015) IUTAM Symposium on Ductile Failure and Localization Besson J, Cao TS, Chiaruttini V, Feld-Payet S (2015) IUTAM Symposium on Ductile Failure and Localization
172.
Zurück zum Zitat Takuda H, Mori K, Hatta N (1999) J Mater Process Technol 95(1–3):116CrossRef Takuda H, Mori K, Hatta N (1999) J Mater Process Technol 95(1–3):116CrossRef
173.
174.
175.
Zurück zum Zitat Liu H, Yang Y, Yu Z, Sun Z, Wang Y (2009) J Mater Process Technol 209(14):5443CrossRef Liu H, Yang Y, Yu Z, Sun Z, Wang Y (2009) J Mater Process Technol 209(14):5443CrossRef
176.
Zurück zum Zitat Li Y, Luo M, Gerlach J, Wierzbicki T (2010) J Mater Process Technol 210(14):1858CrossRef Li Y, Luo M, Gerlach J, Wierzbicki T (2010) J Mater Process Technol 210(14):1858CrossRef
177.
178.
Zurück zum Zitat Gouveia B, Rodrigues J, Martins P (2000) J Mater Process Technol 101(1–3):52CrossRef Gouveia B, Rodrigues J, Martins P (2000) J Mater Process Technol 101(1–3):52CrossRef
179.
Zurück zum Zitat Landre J, Pertence A, Cetlin P, Rodrigues J, Martins P (2003) Finite Elem Anal Des 39(3):175CrossRef Landre J, Pertence A, Cetlin P, Rodrigues J, Martins P (2003) Finite Elem Anal Des 39(3):175CrossRef
180.
181.
Zurück zum Zitat Liu J, Bai Y, Xu C (2013) J Manuf Sci Eng 136(1), 011010 Liu J, Bai Y, Xu C (2013) J Manuf Sci Eng 136(1), 011010
182.
Zurück zum Zitat Cao TS, Montmitonnet P, Bouchard PO, Bobadilla C, Vachey C (2014), vol 81, Japan, p 185 Cao TS, Montmitonnet P, Bouchard PO, Bobadilla C, Vachey C (2014), vol 81, Japan, p 185
183.
Zurück zum Zitat Saanouni K, Devalan P (2013) Damage Mechanics in Metal Forming - Application to Virtual Metal Forming. John Wiley & Sons, pp 355–492 Saanouni K, Devalan P (2013) Damage Mechanics in Metal Forming - Application to Virtual Metal Forming. John Wiley & Sons, pp 355–492
184.
Zurück zum Zitat Bourgeon L (2009) Etude et modélisation des mécanismes d’endommagement en forge à froid. Ph.D. thesis, Ecole nationale supérieure des Mines de Paris. In French Bourgeon L (2009) Etude et modélisation des mécanismes d’endommagement en forge à froid. Ph.D. thesis, Ecole nationale supérieure des Mines de Paris. In French
186.
188.
Zurück zum Zitat Cao TS, Montmitonnet P, Bouchard PO (2013) Int J Numer Methods Eng 96(9):561CrossRef Cao TS, Montmitonnet P, Bouchard PO (2013) Int J Numer Methods Eng 96(9):561CrossRef
189.
Zurück zum Zitat Reusch F, Svendsen B, Klingbeil D (2003) Eur J Mech A Solids 22(6):779CrossRef Reusch F, Svendsen B, Klingbeil D (2003) Eur J Mech A Solids 22(6):779CrossRef
191.
192.
Zurück zum Zitat Roux E, Shakoor M, Bernacki M, Bouchard PO (2014) Model Simul Mater Sci Eng 22(7):075001 Roux E, Shakoor M, Bernacki M, Bouchard PO (2014) Model Simul Mater Sci Eng 22(7):075001
193.
Zurück zum Zitat Shakoor M, Bernacki M, Bouchard PO (2015) Eng Fract Mech 0. (In press) Shakoor M, Bernacki M, Bouchard PO (2015) Eng Fract Mech 0. (In press)
194.
195.
197.
202.
Zurück zum Zitat Bargellini R, Besson J, Lorentz E, Michel-Ponnelle S (2009) In: Proceedings of the 17th International Workshop on Computational Mechanics of Materials IWCMM-17, vol 45, p 762 Bargellini R, Besson J, Lorentz E, Michel-Ponnelle S (2009) In: Proceedings of the 17th International Workshop on Computational Mechanics of Materials IWCMM-17, vol 45, p 762
203.
204.
Zurück zum Zitat D. J. P.C. G. B C (1996) J Eng Mech 122(10):939 D. J. P.C. G. B C (1996) J Eng Mech 122(10):939
205.
206.
Zurück zum Zitat Bazant ZP, Pijaudier-Cabot G (1988) J Appl Mech 55 Bazant ZP, Pijaudier-Cabot G (1988) J Appl Mech 55
208.
Zurück zum Zitat Erice B, Gálvez F, Cendón D, Sánchez-Gálvez V (2012) Eng Fract Mech 79(0):1CrossRef Erice B, Gálvez F, Cendón D, Sánchez-Gálvez V (2012) Eng Fract Mech 79(0):1CrossRef
209.
Zurück zum Zitat Khan AS, Liu H (2012) Int J Plast 37(0):1 Khan AS, Liu H (2012) Int J Plast 37(0):1
211.
214.
Zurück zum Zitat Chow C, Wang J (1988) Int J Fract 38(2):83 Chow C, Wang J (1988) Int J Fract 38(2):83
217.
Zurück zum Zitat Lemaitre J, Desmorat R, Sauzay M (2000) Eur J Mech A Solids 19(2):187CrossRef Lemaitre J, Desmorat R, Sauzay M (2000) Eur J Mech A Solids 19(2):187CrossRef
220.
221.
Zurück zum Zitat Monchiet V, Cazacu O, Charkaluk E, Kondo D (2008) Int J Plast 24(7):1158CrossRef Monchiet V, Cazacu O, Charkaluk E, Kondo D (2008) Int J Plast 24(7):1158CrossRef
222.
Zurück zum Zitat Keralavarma SM, Benzerga AA (2008) Comptes Rendus Mécanique 336(9):685CrossRef Keralavarma SM, Benzerga AA (2008) Comptes Rendus Mécanique 336(9):685CrossRef
223.
Zurück zum Zitat R. Hill (1948) In: Proceedings of the Royal Society of London, vol 193, p 281 R. Hill (1948) In: Proceedings of the Royal Society of London, vol 193, p 281
224.
225.
Zurück zum Zitat Bron F, Besson J (2004) Int J Plast 20(937):4–5 Bron F, Besson J (2004) Int J Plast 20(937):4–5
226.
Zurück zum Zitat Lodej B, Niang K, Montmitonnet P, Aubin JL (2006) J Mater Process Technol 177(188):1–3 Lodej B, Niang K, Montmitonnet P, Aubin JL (2006) J Mater Process Technol 177(188):1–3
227.
Zurück zum Zitat Bao Y, Treitler R (2004) Mater Sci Eng A 384(385):1–2 Bao Y, Treitler R (2004) Mater Sci Eng A 384(385):1–2
229.
Zurück zum Zitat Massé T, Chastel Y, Montmitonnet P, Bobadilla C, Persem N, Foissey S (2012) Int J Mater Form 5(2):129CrossRef Massé T, Chastel Y, Montmitonnet P, Bobadilla C, Persem N, Foissey S (2012) Int J Mater Form 5(2):129CrossRef
230.
Zurück zum Zitat Bru̇nig M, Chyra O, Albrecht D, Driemeier L, Alves M (2008) Int J Plast 24(10):1731CrossRef Bru̇nig M, Chyra O, Albrecht D, Driemeier L, Alves M (2008) Int J Plast 24(10):1731CrossRef
231.
232.
Zurück zum Zitat Needleman A, Tvergaard V, Van Der Giessen E (1995) Int J Damage Mech 4(2):134CrossRef Needleman A, Tvergaard V, Van Der Giessen E (1995) Int J Damage Mech 4(2):134CrossRef
235.
Metadaten
Titel
Models for ductile damage and fracture prediction in cold bulk metal forming processes: a review
verfasst von
Trong Son Cao
Publikationsdatum
08.09.2015
Verlag
Springer Paris
Erschienen in
International Journal of Material Forming / Ausgabe 2/2017
Print ISSN: 1960-6206
Elektronische ISSN: 1960-6214
DOI
https://doi.org/10.1007/s12289-015-1262-7

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