Evaluation of ductile fracture criteria in a general three-dimensional stress state considering the stress triaxiality and the lode parameter

doi:10.1016/S0894-9166(14)60008-2

Acta Mechanica Solida Sinica

Volume 26, Issue 6, December 2013, Pages 642-658

https://doi.org/10.1016/S0894-9166(14)60008-2 Get rights and content

Abstract

This paper is concerned with evaluation of various ductile fracture criteria in a general three-dimensional stress state of stress triaxiality, the Lode parameter and the equivalent plastic strain to fracture. Evaluation is carried out by comparing fracture loci constructed by fracture criteria to experimental results of Al2024-T351. Comparison demonstrates that the Modified Mohr-Coulomb criterion and a newly proposed criterion provide sufficient predictability of fracture strain. Moreover, evaluation is emphasized on the predicted cut-off value for stress triaxiality. The evaluation demonstrates that the Cockcroft-Latham, Brozzo, Oh, Ko-Huh and the new criteria coupled a reasonable cut-off value for ductile materials.

References (47)

R. Hill
On discontinuous plastic states, with special reference to localized necking in thin sheets
Journal of the Mechanics and Physics of Solids
(1952)
Z. Marciniak et al.
Limit strains in the processes of stretch-forming sheet metal
International Journal of Mechanical Science
(1967)
S. Stören et al.
Localized necking in thin sheets
Journal of the Mechanics and Physics of Solids
(1975)
J.R. Rice et al.
On the ductile enlargement of voids in triaxial stress fields
Journal of the Mechanics and Physics of Solids
(1969)
M. Oyane et al.
Criteria for ductile fracture and their applications
Journal of Mechanical Working Technology
(1980)
V. Tvergaard et al.
Analysis of the cup-cone fracture in a round tensile bar
Acta Metallurgica
(1984)
S.E. Clift et al.
Fracture prediction in plastic deformation processes
International Journal of Mechanical Science
(1990)
H.N. Han et al.
A ductile fracture criterion in sheet metal forming process
Journal of Materials Processing Technology
(2003)
Y.K. Ko et al.
Prediction of fracture in hub-hole expanding process using a new ductile fracture criterion
Journal of Materials Processing Technology
(2007)
H. Takuda et al.
The application of some criteria for ductile fracture to the prediction of the forming limit of sheet metals
Journal of Materials Processing Technology
(1999)

H. Takuda et al.

Prediction of forming limit in bore-expanding of sheet metals using ductile fracture criterion

Journal of Materials Processing Technology

(1999)

H. Takuda et al.

Finite element analysis of limit strain in biaxial stretching of sheet metals allowing ductile fracture

International Journal of Mechanical Science

(2000)

M. Jain et al.

Fracture limit prediction using ductile fracture criteria for forming of an automotive aluminum sheet

International Journal of Mechanical Science

(1999)

L.P. Lei et al.

Prediction of the forming limit in hydroforming processes using the finite element method and a ductile fracture criterion

Journal of Materials Processing Technology

(2001)

F. Ozturk et al.

Analysis of forming limits using ductile fracture criteria

Journal of Materials Processing Technology

(2004)

H.S. Liu et al.

The application of a ductile fracture criterion to the prediction of the forming limit of sheet metals

Journal of Materials Processing Technology

(2009)

Y.N. Li et al.

Prediction of shear-induced fracture in sheet metal forming

Journal of Materials Processing Technology

(2010)

Y.N. Li et al.

Prediction of plane strain fracture of AHSS sheets with post-initiation softening

International Journal of Solids and Structures

(2010)

A.M. Beese et al.

Partially coupled anisotropic fracture model for aluminum sheets

Engineering Fracture Mechanics

(2010)

M. Luo et al.

Numerical failure analysis of a stretch-bending test on dual-phase steel sheets using a phenomenological fracture model

International Journal of Solids and Structures

(2010)

M. Dunand et al.

On the predictive capabilities of the shear modified Gurson and the modified Mohr-Coulomb fracture models over a wide range of stress triaxialities and Lode angles

Journal of the Mechanics and Physics of Solids

(2011)

X. Teng et al.

Evaluation of six fracture models in high velocity perforation

Engineering Fracture Mechanics

(2006)

Y.S. Lou et al.

New ductile fracture criterion for prediction of fracture forming limit diagrams of sheet metals

International Journal of Solids and Structures

(2012)

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Evaluation of ductile fracture criteria in a general three-dimensional stress state considering the stress triaxiality and the lode parameter

Abstract

Journal of the Mechanics and Physics of Solids

International Journal of Mechanical Science

Journal of the Mechanics and Physics of Solids

Journal of the Mechanics and Physics of Solids

Journal of Mechanical Working Technology

Acta Metallurgica

International Journal of Mechanical Science

Journal of Materials Processing Technology

Journal of Materials Processing Technology

Journal of Materials Processing Technology

Journal of Materials Processing Technology

International Journal of Mechanical Science

International Journal of Mechanical Science

Journal of Materials Processing Technology

Journal of Materials Processing Technology

Journal of Materials Processing Technology

Journal of Materials Processing Technology

International Journal of Solids and Structures

Engineering Fracture Mechanics

International Journal of Solids and Structures

Journal of the Mechanics and Physics of Solids

Engineering Fracture Mechanics

International Journal of Solids and Structures