Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials

Brocks, W.; Sun, Dong-Zhi; Hönig, Andreas

doi:10.1016/s0749-6419(95)00039-9

Cited by 162 publications

(103 citation statements)

References 18 publications

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“…The transition of the shape from slight oblate to prolate occurs within the range of À0.45<<À0.30. This trend is similar to the results given by Koplik and Needleman (1988) and Brocks et al (1995), although their loading process is to keep triaxiality T constant.…”

Section: The Eects Of the Evolution Of Void Shapesupporting

confidence: 88%

“…The reasons can be attributed to (a) the in¯uence of strain softening or secondary void damage in the matrix material around primary void (Li and Howard, 1983;Li et al, 1989;Brocks et al, 1995); (b) plastic¯ow localization due to non-uniform void distribution (Ohno and Hutchinson, 1984;Becker, 1987;Magnusen et al, 1988;Becker and Smelser, 1994); (c) the eect of void shape on void growth and ductility (Li, 1985a;Becker et al, 1989;Yee and Mear, 1996); (d) voiding instability in elastic±plastic solids (Koplik and Needleman, 1988;Huang et al, 1991); (e) the three dimensional eects (Hom and McMeeking, 1989;Worswick and Pick, 1990) and others such as, the eects of void cluster size (Benson, 1995) and the matrix compressibility on void growth (Briottet et al, 1996). Tvergaard (1981) and Needleman and Tvergaard (1984) tried to modify Gurson's model by adding more parameters so as to bring shear band bifurcation predictions of the Gurson constitutive relation into closer agreement with corresponding results of full numerical analysis and to take into account the eects of rapid void coalescence at failure.…”

Section: Introductionmentioning

confidence: 99%

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On the mechanism of void growth and the effect of straining mode in ductile materials

Ling

Shen

2000

International Journal of Plasticity

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Finite element analysis is employed to investigate void growth embedded in elastic±plastic matrix material. Axisymmetric and plane stress conditions are considered. The simulation of void growth in a unit cell model is carried out over a wide range of triaxial tensile stressing or large plastic straining for various strain hardening materials to study the mechanism of void growth in ductile materials. Triaxial tension and large plastic strain encircling around the void are found to be of most importance for driving void growth. The straining mode of incremental loading which favors the necessary strain concentration around void for its growth can be characterized by the vanishing condition of a parameter called``the third invariant of generalized strain rate''. Under this condition, it accentuates the internal strain concentration and the strain energy stored/dissipated within the material layer surrounding the void. Experimental results are cited to justify the eect of this loading parameter. #

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Section: The Eects Of the Evolution Of Void Shapesupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

On the mechanism of void growth and the effect of straining mode in ductile materials

Ling

Shen

2000

International Journal of Plasticity

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“…Koplilik and Needleman [38] proposed new values of q 1 = 1.25 and q 2 = 1 which provide good agreement with the results of numerical simulations using the GTN model. Other values of q 1 and q 2 have been also proposed by Brocks [39]. Faleskog et al [40] have shown that the ultimate strength and hardening influence the values of q 1 and q 2 .…”

Section: 34mentioning

confidence: 87%

Experimental characterization and numerical modeling of micromechanical damage under different stress states

et al. 2013

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. The use of HSLA steels for the manufacture of automotive components is interesting from an engineering point of view. This family of steels, while possessing high strength, also has good formability and can be used in forming manufacturing processes. In some forming processes such as blanking, shear strain localization occurs, which causes damage and results in the final fracture of the material. This paper presents an experimental study based on in situ tests to understand and identify the physical mechanisms of ductile damage under two stress states: tension and shear. Different macroscopic tests were performed to calibrate a damage model based on a micromechanical approach. This damage model is based on the Gurson-Tvergaard-Needleman theory and presents recent improvements proposed by Nahshon and Hutchinson and by Nielsen and Tvergaard so as to better predict fracture under a wide range of stress states, especially with low levels of stress triaxiality. These extensions have made the identification of the material parameter more complicated. In this work an identification strategy has been proposed using tests on specimens with different shapes. The identified parameter values are validated and the fracture model show good predictive capability over a wide stress state range.

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“…This sort of mechanism-based cohesive model has also been proposed by other authors, e.g. [12][13][14][15][16]. It is well known that the cohesive strength increases with strain rate ( [17][18][19]) and this implies an increase in stress triaxiality [20,21].…”

Section: Introductionmentioning

confidence: 59%

Simulation of dynamic ductile crack growth using strain-rate and triaxiality-dependent cohesive elements

Anvari

Scheider

Thaulow

2006

Engineering Fracture Mechanics

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Rate-sensitive and triaxiality-dependent cohesive elements are used to simulate crack growth under quasi-static and dynamic loading conditions. The simulations are performed for a middle-cracked tension M(T) specimen made of an aluminum alloy (6XXX-series). To consider the effect of stress triaxiality and strain rate on the cohesive properties, a single plane strain element obeying the constitutive equations of a rate-dependent Gurson type model has been used. The single element is loaded under various stress biaxiality ratios and strain rates and the obtained stress-displacement curves are considered as traction separation law for the cohesive elements. These curves are used for analyzing the aluminum M(T) specimen. The qualitative effects of constraint, strain rate, inertia and stress waves on the energy absorption of the specimen and crack growth are discussed.

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Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials

Cited by 162 publications

References 18 publications

On the mechanism of void growth and the effect of straining mode in ductile materials

On the mechanism of void growth and the effect of straining mode in ductile materials

Experimental characterization and numerical modeling of micromechanical damage under different stress states

Simulation of dynamic ductile crack growth using strain-rate and triaxiality-dependent cohesive elements

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