A continuous damage mechanics model for ductile fracture

Lemaitre, Jean

Affiliations

¹Professeur à l'Université Paris 6, Laboratoire de Mécanique et Technologie, E.N.S.E.T/Université Paris 6/C.N.R.S. 94230 Cachan, France

Abstract

A model of isotropic ductile plastic damage based on a continuum damage variable, on the effective stress concept and on thermodynamics is derived. The damage is linear with equivalent strain and shows a large influence of triaxiality by means of a damage equivalent stress. Identification for several metals is made by means of elasticity modulus change induced by damage. A comparison with the McClintock and Rice-Tracey models and with some experiments is presented for the influence of triaxiality on the strain to rupture.

Links

DOI: 10.1115/1.3225775

WoS: WOS:A1985AAD8500012

History

Received: 1983-03-31

Cited Works (2)

Year	Entry
1969	Rice JR, Tracey DM. On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids. 1969;17(3):201-217.
1968	McClintock FA. A criterion for ductile fracture by the growth of holes. J Appl Mech. June 1968;35(2):363-371.

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2014	Crété JP, Longère P, Cadou JM. Numerical modelling of crack propagation in ductile materials combining the GTN model and X-FEM. Comput Meth Appl Mech Eng. June 15, 2014;275:204-233.
2001	Garcia JM, Martínez MA, Doblaré M. An anisotropic internal-external bone adaptation model based on a combination of CAO and continuum damage mechanics technologies. Comput Methods Biomech Biomed Eng. 2001;4(4):355-377.
2022	Megías R, Vercher-Martínez A, Belda R, Peris JL, Larrainzar-Garijo R, Giner E, Fuenmayor FJ. Numerical modelling of cancellous bone damage using an orthotropic failure criterion and tissue elastic properties as a function of the mineral content and microporosity. Comput Methods Prog Biomed. June 2022;219:106764.
2020	Belda R, Palomar M, Peris-Serra JL, Vercher-Martínez A, Giner E. Compression failure characterization of cancellous bone combining experimental testing, digital image correlation and finite element modeling. Int J Mech Sci. January 2020;165:105213.
2011	Hambli R. Multiscale prediction of crack density and crack length accumulation in trabecular bone based on neural networks and finite element simulation. Int J Num Meth Biomed Eng. April 2011;27(4):461-475.
2018	Guzmán CF, Yuan S, Duchêne L, Flores EIS, Habraken AM. Damage prediction in single point incremental forming using an extended Gurson model. Int J Solids Struct. October 15, 2018;151:45-56.
2001	Doblaré M, Garcia JM. Application of an anisotropic bone-remodelling model based on a damage-repair theory to the analysis of the proximal femur before and after total hip replacement. J Biomech. September 2001;34(9):1157-1170.
2013	Ridha H, Thurner PJ. Finite element prediction with experimental validation of damage distribution in single trabeculae during three-point bending tests. J Mech Behav Biomed Mater. November 2013;27:94-106.
2012	Hambli R, Bettamer A, Allaoui S. Finite element prediction of proximal femur fracture pattern based on orthotropic behaviour law coupled to quasi-brittle damage. Med Eng Phys. March 2012;34(2):202-210.
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2022	Klos A. Werkstoff- und umformtechnische Bewertung von hochfesten Aluminiumblechwerkstoffen für den Karosseriebau [Material and Forming Behaviour of High-Strength Aluminium Sheet Materials for Body-in-White Applications] [PhD thesis]. Friedrich–Alexander University Erlangen–Nürnberg; 2022.
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2012	Montesano J. Fatigue Damage Characterization of Braided and Woven Fiber Reinforced Polymer Matrix Composites At Room and Elevated Temperatures [PhD thesis]. Ryerson University; 2012.
1991	Pattin CAG. Cyclic Mechanical Property Degradation in Bone During Fatigue Loading [PhD thesis]. Stanford University; March 1991.
2003	Lennon AB. A Stochastic Model of Damage Accumulation in Acrylic Bone Cement: Application to Failure Modelling of Cemented Hip Replacement [PhD thesis]. Trinity College Dublin; 2003.
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2003	Rüberg T. Computer Simulation of Adaptive Bone Remodeling [Master's thesis]. Universidad de Zaragoza; 2003.
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2018	Abedini A. Constitutive and Fracture Characterization of an Anisotropic and Asymmetric Alloy Sheet [PhD thesis]. University of Waterloo; 2018.
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.
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2022	Mohamadizadeh A. Characterization and Microstructure-Based Modeling of Spot Weld Failure in Hot Stamped Steel [PhD thesis]. University of Waterloo; 2022.
2001	Parsamian GP. Damage Mechanics of Human Cortical Bone [PhD thesis]. West Virginia University; 2001.