The effect of material orientation on void growth

Hosseini, N.; Nieto-Fuentes, J.C.; Dakshinamurthy, Manjunath; Rodríguez-Martínez, J.A.; Vadillo, G.

doi:10.1016/j.ijplas.2021.103149

Cited by 28 publications

(5 citation statements)

References 84 publications

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“…Badreddine et al (2015) and Badreddine and Saanouni (2017) modeled the anisotropic plastic behavior with the Hill yield condition and used the classical isotropic definition of the stress triaxiality given by the ratio of the mean and the von Mises equivalent stress. Similarly, Hosseini et al (2022) studied the effect of material orientation on void growth based on the orthotropic Yld2004 yield criterion (Barlat et al, 2005) also using the classical isotropic definition of the stress triaxaility and the Lode parameter expressed in terms of the principal stresses. However, in the analysis of anisotropic materials it is important to take into account the directionality of the stress state with respect to the material orientation and, therefore, a generalized stress triaxiality and Lode parameter have to be developed.…”

Section: Continuum Modelmentioning

confidence: 99%

“…(2015) and Badreddine and Saanouni (2017) modeled the anisotropic plastic behavior with the Hill yield condition and used the classical isotropic definition of the stress triaxiality given by the ratio of the mean and the von Mises equivalent stress. Similarly, Hosseini et al. (2022) studied the effect of material orientation on void growth based on the orthotropic Yld2004 yield criterion (Barlat et al., 2005) also using the classical isotropic definition of the stress triaxaility and the Lode parameter expressed in terms of the principal stresses.…”

Section: Continuum Modelmentioning

confidence: 99%

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A stress-state-dependent damage criterion for metals with plastic anisotropy

Brünig

Koirala

Gerke

2023

International Journal of Damage Mechanics

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The paper discusses the effect of stress state and of loading direction on the onset and evolution of damage in anisotropic ductile metals. A series of experiments with uniaxially and biaxially loaded specimens covering a wide range of stress states and different loading directions is used in combination with corresponding numerical simulations to develop damage criteria. The underlying continuum damage model is based on kinematic definition of damage tensors. The strain rate tensor is additively decomposed into elastic, plastic and damage parts. The anisotropic plastic behavior of the investigated aluminum alloy sheets is governed by the Hoffman yield condition taking into account the strength-differential effect revealed by uniaxial tension and compression tests. Based on this yield criterion generalized anisotropic stress invariants as well as the generalized stress triaxiality and the generalized Lode parameter are defined characterizing the stress state in the anisotropic ductile metal. A damage criterion formulated in terms of these anisotropic stress invariants is proposed and damage mode parameters allow adequate consideration and combination of different damage processes on the micro-level. At the onset of damage the anisotropic stress parameters are determined. With these experimental-numerical data the damage mode parameters are identified depending on stress state and loading direction.

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Section: Continuum Modelmentioning

confidence: 99%

Section: Continuum Modelmentioning

confidence: 99%

A stress-state-dependent damage criterion for metals with plastic anisotropy

Brünig

Koirala

Gerke

2023

International Journal of Damage Mechanics

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“…𝝈𝑑𝑉 (Vadillo et al, 2016;Hosseini et al, 2022), with 𝑉 𝑐𝑒𝑙𝑙 = ∫ 𝑉 𝑐𝑒𝑙𝑙 𝑑𝑉 being the total volume of the unit-cell. Moreover, the macroscopic strain tensor of the bi-phase material is defined as the volumetric averaging of the microscopic strain tensor…”

Section: Unit-cellmentioning

confidence: 99%

“…In the simulations, periodic boundary conditions have been applied on the unit-cell using the equations for the nodal displacements reported in Appendix A of Dakshinamurthy et al (2021). The multi-point constraint subroutine developed by Dakshinamurthy et al (2021) has been employed to impose controlled values of macroscopic stress triaxiality and macroscopic Lode parameter in the unit-cell (bi-phase material), 𝑋 𝛴 𝛾+𝛼 ′ and 𝐿 𝛾+𝛼 ′ , respectively-see also Hosseini et al (2022) and Vishnu et al (2023). The loading directions are parallel to the principal directions of the macroscopic stress tensor of the bi-phase material, such that the major loading direction corresponds to the principal stress direction associated with 𝛴 𝛾+𝛼 ′ 𝐼 and the minor loading direction corresponds to the principal stress direction associated with 𝛴 𝛾+𝛼 ′ 𝐼𝐼𝐼 ; see Fig.…”

Section: Unit-cellmentioning

confidence: 99%

Modeling strain-induced martensitic transformation in austenitic stainless steels subjected to cryogenic temperatures using incremental mean-field homogenization schemes

Fernández-Pisón,

A. R.,

Vadillo

et al. 2023

Preprint

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Austenitic stainless steels are commonly used as structural materials in high-field superconducting magnet systems because they retain high strength, ductility, and toughness at very low temperatures, and they are paramagnetic or antiferromagnetic under the Néel temperature in their fully austenitic state. However, they are susceptible to strain-induced martensitic transformation, especially at cryogenic temperatures, which modifies the material properties, induces volume changes and additional strain hardening, and leads to ferromagnetic behavior. Thus, accurate predictions of the structural performance of these materials at very low temperatures are of great interest for the conception and design of these cryo-magnetic systems. In this paper, we propose an adequate constitutive model for the evolving bi-phase material-austenite and martensitebased on a Hill-type incremental formulation. Two different versions of the model are proposed based on the linear mean-field homogenization scheme: Mori-Tanaka and Self-Consistent. Moreover, a rate-independent nonlinear mixed kinematic-isotropic hardening law is used for each phase, and the martensitic transformation is described by the nonlinear kinetic law proposed by Olson and Cohen (1975). The constitutive model is implemented in ABAQUS/Standard through a UMAT user subroutine, for which a return mapping algorithm based on the implicit backward Euler integration scheme is used and a closed-form expression of the consistent Jacobian tensor is provided. The Mori-Tanaka and Self-Consistent approaches are evaluated in terms of their ability to describe the mechanical behavior of the bi-phase aggregate by comparing the predictions of the homogenization schemes with unit-cell finite element calculations with an explicit description of the martensite inclusions and the austenite matrix. The comparison is carried out for different stress states with controlled triaxiality and Lode parameter under monotonic and cycling loading, paying special attention to the evolution of the mechanical fields in each phase. The unit-cell calculations are performed for both constant and evolving martensite volume fractions. In addition, numerical simulations of tensile tests on samples subjected to different initial temperatures are carried out for the transforming bi-phase material and the results are compared to experimental data for AISI 304L and AISI 316LN steels.

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“…Most void cell calculations reported in the literature have been performed considering isotropic matrix materials and spheroidal voids (e.g., Faleskog et al (2000); Pardoen and Hutchinson (2003) and Kim et al (2004); Benzerga et al (2004b) and Danas and Ponte Castañeda (2012)). However, some studies dealing with unitcell simulations involving plastically anisotropic matrix (Benzerga and Besson, 2001;Wang et al, 2004;Keralavarma and Benzerga, 2010;Steglich et al, 2010;Keralavarma et al, 2011;Legarth and Tvergaard, 2018;Daehli et al, 2017;Hosseini et al, 2022) were also reported but much less often than the case when the matrix material is isotropic. The unit cell studies mentioned above reveal the profound influence of anisotropy on the aggregate material behavior affecting both the stress strain cell response and void (size and shape) evolution.…”

Section: Introductionmentioning

confidence: 99%

3D numerical simulations and microstructural modeling of anisotropic and tension compression asymmetric ductile materials

VADILLO

2024

Preprint

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In the present work, we have analyzed the effect of anisotropy on void growth and stress-strain behavior for materials that exhibit remarkable tension-compression asymmetry (i.e., zirconium alloys). For that purpose, we have performed finite element simulations using a cubic 3D cell with a spherical void inside and subjected to periodic boundary conditions. Nonlinear kinematic constraints are also imposed as boundary conditions in order to maintain the values of macroscopic ratios constant during the whole loading history of the cell and account for a general (3D) stress state. The behavior of the matrix material is described by the CPB06 anisotropic criterion developed by Cazacu et al. (2006). The numerical results are compared to those considering 3D homogeneous (without void) cell with the same initial porosity as the voided one and governed by the anisotropic porous yield criterion developed by Stewart and Cazacu (2011). To investigate the influence of prescribed stress, strength differential parameter and strain hardening exponent on stress-strain behavior and void growth in the non-homogeneous (with void) and the homogeneous (without void) cells, we have used several stress ratios, three strength differential parameters and three strain hardening exponents. Finite element results obtained from different stress ratios show the strength differential parameter significantly affect void growth in both homogeneous and non-homogeneous cells. Moreover, comparison of two cells proves that both stress-strain behavior and porosity evolution are in good qualitative agreement for all three values of strength differential parameter. In contrast, as the value of strain hardening exponent increases, the agreement between results obtained from homogeneous and non-homogeneous cells is worse. An heuristic extension of the Stewart and Cazacu (2011)'s model is proposed in this work in an attempt to improve the accuracy of the model.

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The effect of material orientation on void growth

Cited by 28 publications

References 84 publications

A stress-state-dependent damage criterion for metals with plastic anisotropy

A stress-state-dependent damage criterion for metals with plastic anisotropy

Modeling strain-induced martensitic transformation in austenitic stainless steels subjected to cryogenic temperatures using incremental mean-field homogenization schemes

3D numerical simulations and microstructural modeling of anisotropic and tension compression asymmetric ductile materials

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