Stress-state-dependence of damage strain rate tensors caused by growth and coalescence of micro-defects

Brünig, Michael; Gerke, Steffen; Hagenbrock, Vanessa

doi:10.1016/j.ijplas.2014.04.007

Cited by 74 publications

(53 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In literature the former type is referred to as coupled and the latter as uncoupled fracture modeling. In the field of physics based, coupled, constitutive and ductile fracture models the stress-state dependence caused by growth and coalescence of micro-defects using numerical simulations of unit cells and experimental observations over a wide range of triaxialities is studied and good correlation is found [17,18]. Li et al [19] present a detailed review of coupled and uncoupled damage criteria which are implemented in a commercially available FE code and compared to experimental results of tensile and compression tests with different specimen geometries.…”

Section: Introductionmentioning

confidence: 99%

Characterization of ductile fracture properties of quench-hardenable boron steel: Influence of microstructure and processing conditions

Golling

Östlund

Oldenburg

2016

Materials Science and Engineering: A

View full text Add to dashboard Cite

Developments of the hot stamping technology have enabled the production of components with differential microstructure composition and mechanical properties. These can increase the performance of certain crash-relevant automotive structures by combining high intrusion protection and energy absorption. This paper presents a comprehensive experimental investigation on the flow and ductile fracture properties of boron-alloyed steel with a wide range of different microstructure compositions. Three types of dual phase microstructures at three different volume fractions, and one triple phase grade, were generated by thermal treatment. Flow curves extending beyond necking and the equivalent plastic strain to fracture for each grade was determined by tensile testing using fullfield measurements. The influence of phase composition and microstructural parameters were further investigated by means of a multi-scale modeling approach based on mean-field homogenization in combination with local fracture criteria. Inter-phase and intra-phase fracture mechanisms were considered by adopting two separate fracture criteria formulated in terms of the local average stress field. The micromechanical model captures with useful accuracy the strong influence of microstructure and processing conditions on the flow and fracture properties, implying promising prospects of mean-field homogenization for the constitutive modeling of hot stamped components.

show abstract

Section: Introductionmentioning

confidence: 99%

Characterization of ductile fracture properties of quench-hardenable boron steel: Influence of microstructure and processing conditions

Golling

Östlund

Oldenburg

2016

Materials Science and Engineering: A

View full text Add to dashboard Cite

show abstract

“…Extended versions of this model (Brünig et al 2011b(Brünig et al , 2008(Brünig et al , 2014a(Brünig et al , 2015 propose a stress-state-dependent damage criterion based on different experiments and data from corresponding numerical simulations. Furthermore, it takes into account numerical results of various analyses using unit cell models (Brünig et al 2011a(Brünig et al , 2013(Brünig et al , 2014b. Based on these numerical results covering a wide range of stress states it was possible to propose damage equations as functions of the stress triaxiality and the Lode parameter.…”

Section: Continuum Damage Modelmentioning

confidence: 99%

“…represents the second order deviatoric stress tensor (Brünig et al 2013(Brünig et al , 2014b. Alternatively, the damage strain rate tensor (2.19) can be written in the forṁ…”

Section: Constitutive Equationsmentioning

confidence: 99%

“…Further information on damage and failure mechanisms can be obtained by performing numerical simulations on the micro-level (Brocks et al 1995;Brünig et al 2011aBrünig et al , 2013Brünig et al , 2014bChew et al 2006;Kuna and Sun 1996;Needleman and Kushner 1990;Ohno and Hutchinson 1984;Zhang et al 2001) considering individual behavior of growth and coalescence of voids and micro-shear-cracks as well as their accumulation to macro-cracks. These numerical calculations have been carried out with different loading conditions covering a wide range of macroscopic stress states.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Continuum Damage Model Based on Experiments and Numerical Simulations—A Review

Brünig

2015

Advanced Structured Materials

Self Cite

View full text Add to dashboard Cite

The paper summarizes the author's activities in the field of damage mechanics. In this context, a thermodynamically consistent anisotropic continuum damage model is reviewed. The theory is based on consideration of damaged as well as fictitious undamaged configurations. The modular structure of the continuum model is accomplished by kinematic decomposition of strain rates into elastic, plastic and damage parts. A generalized yield condition is used to adequately describe the plastic flow properties of ductile metals and the plastic strain rate tensor is determined by a non-associated flow rule. Furthermore, a stress-state-dependent damage criterion as well as evolution equations of damage strains are proposed. Different branches of the respective criteria are considered corresponding to various damage and failure mechanisms depending on stress state. Since it is not possible to propose and to validate stress-state-dependent criteria only based on tests with uniaxially loaded specimens for a wide range of stress states, numerical calculations on the micro-level have been performed to be able to study stress-state-dependent mechanisms of micro-defects and their effect on macroscopic behavior. In addition, new experiments with two-dimensionally loaded specimens have been developed. Corresponding numerical simulations of these experiments show that they cover a wide range of stress triaxialities and Lode parameters in the tension, shear and compression domains.

show abstract

“…Also, Needleman and co-authors have studied ductile fracture processes in microstructures with random distributions of void nucleation in 2D and 3D analyses (Needleman and Tvergaard (1987) and Tvergaard and Needleman (2006)). Brünig, Voyiadjis and others have used homogenization techniques for modeling damage processes in composite materials (Voyiadjis and Kattan (1993), Kattan and Voyiadjis (2003), Brünig et al (2011) and Brünig et al (2014)). Another work dealing with porous metals has been developed by Giusti et al (2009), which used a multiscale approach to obtain results considering different void ratios, being compared with ones presented by Gurson (1977).…”

Section: Introductionmentioning

confidence: 99%

Yield Surfaces of Material Composed of Porous and Heterogeneous Microstructures Considering Phase Debonding

Santos

Pituba

2017

Lat. Am. j. solids struct.

View full text Add to dashboard Cite

This work deals with numerical simulation of the mechanical behavior of materials composed of heterogeneous ductile microstructures using a multi-scale approach considering plasticity processes and phase debonding. Due to few studies about yield surfaces of metal matrix composites (MMC) with weak interfaces presented in the literature, the major goal of this work is to propose yield surfaces for metal matrix composites reinforced by rigid inclusions. The yield surfaces are obtained for Representative Volume Elements (RVEs) of materials presenting perfectly bonded inclusions and phase debonding in the interface zone. The matrix is considered an ideally plastic material governed by von Mises model, whereas the interface zone is modeled by means contact and fracture constitutive models incorporated in a proposed finite element. Also, RVEs containing different distributions and volume ratios of voids are analyzed. Considering the phase debonding, for compressive loadings the RVE behaves like RVE with perfectly bonded inclusions whereas for tension loadings the RVE presents a behavior quite similar to the one with voids. On the other hand, the concentration of voids in the RVE decreases its mechanical strength.

show abstract

Stress-state-dependence of damage strain rate tensors caused by growth and coalescence of micro-defects

Abstract: Thomas BUSLAPS, K.a SOLODUCHA-Elastoplastic deformation and damage process in duplex stainless steels studied using synchrotron and neutron diffractions in comparison with a self-consistent model

Cited by 74 publications

References 57 publications

Characterization of ductile fracture properties of quench-hardenable boron steel: Influence of microstructure and processing conditions

Characterization of ductile fracture properties of quench-hardenable boron steel: Influence of microstructure and processing conditions

A Continuum Damage Model Based on Experiments and Numerical Simulations—A Review

Yield Surfaces of Material Composed of Porous and Heterogeneous Microstructures Considering Phase Debonding

Contact Info

Product

Resources

About