Modeling the thermoelastic?viscoplastic response of polycrystals using a continuum representation over the orientation space

Ganapathysubramanian, Shankar; Zabaras, Nicholas

doi:10.1016/j.ijplas.2004.04.005

Cited by 31 publications

(11 citation statements)

References 51 publications

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“…Argon, 1975;Miller and Sherby, 1978;Brown et al, 1989;Lush et al, 1989;Haddadi, 1996;Teixeira-Dias and Menezes, 2001;Andrade-Campos et al, 2004;Hakåns-son et al, 2005;Ganapathysubramanian and Zabaras, 2005;Helm, 2006;Haddadi et al, 2006). In fact, the final state of a hot-worked metal part is strongly affected by its temperature and deformation histories.…”

Section: Internal Variable Constitutive Equationsmentioning

confidence: 99%

On the determination of material parameters for internal variable thermoelastic–viscoplastic constitutive models

Andrade‐Campos

Thuillier

Pilvin

et al. 2007

International Journal of Plasticity

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Section: Internal Variable Constitutive Equationsmentioning

confidence: 99%

On the determination of material parameters for internal variable thermoelastic–viscoplastic constitutive models

Andrade‐Campos

Thuillier

Pilvin

et al. 2007

International Journal of Plasticity

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“…A large number of specialized forms of these modern unified viscoplastic models (e.g., isotropic or anisotropic, fully associative or non-associative, isothermal or non-isothermal, etc.) have been successfully applied to different metals (Valanis, 1966;Germain et al, 1983;Lemaitre and Chaboche, 1990;Robinson and Duffy, 1990;Robinson et al, 1987;Freed and Walker, 1993;Simo and Taylor, 1986;Abed and Voyiadjis, 2005;Khan et al, 2006;Ganapathysubramanian and Zabaras, 2005;Hashiguchi et al, 2005;Colak, 2005;Menzel et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals

Voyiadjis

Abed

2006

International Journal of Plasticity

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“…Control of the fragmentation mechanisms and rotational modes of inelastic deformation offers considerable scope for producing metals and alloys with a grain structure exhibiting the best properties for the preset operating conditions. Different issues related to the problems of designing functionally graded materials are discussed, e.g., in [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. General methodology of designing such materials based on multi-level modeling [15][16][17][18][19] is described in detail in [8].…”

Section: Introductionmentioning

confidence: 99%

“…An alternative way to represent ODF in a reduced form is considered in [1,4,5,[11][12][13][14]23]. To control the texture-dependent parameters, a finite element representation of the ODF conservation equation [3,24] within a fundamental region of the Rodrigues space [24][25][26] is used.…”

Section: Introductionmentioning

confidence: 99%

On Elastic Symmetry Identification for Polycrystalline Materials

Трусов¹,

Ostapovich²

2017

Symmetry

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Abstract:The products made by the forming of polycrystalline metals and alloys, which are in high demand in modern industries, have pronounced inhomogeneous distribution of grain orientations. The presence of specific orientation modes in such materials, i.e., crystallographic texture, is responsible for anisotropy of their physical and mechanical properties, e.g., elasticity. A type of anisotropy is usually unknown a priori, and possible ways of its determination is of considerable interest both from theoretical and practical viewpoints. In this work, emphasis is placed on the identification of elasticity classes of polycrystalline materials. By the newly introduced concept of "elasticity class" the union of congruent tensor subspaces of a special form is understood. In particular, it makes it possible to consider the so-called symmetry classification, which is widely spread in solid mechanics. The problem of identification of linear elasticity class for anisotropic material with elastic moduli given in an arbitrary orthonormal basis is formulated. To solve this problem, a general procedure based on constructing the hierarchy of approximations of elasticity tensor in different classes is formulated. This approach is then applied to analyze changes in the elastic symmetry of a representative volume element of polycrystalline copper during numerical experiments on severe plastic deformation. The microstructure evolution is described using a two-level crystal elasto-visco-plasticity model. The well-defined structures, which are indicative of the existence of essentially inhomogeneous distribution of crystallite orientations, were obtained in each experiment. However, the texture obtained in the quasi-axial upsetting experiment demonstrates the absence of significant macroscopic elastic anisotropy. Using the identification framework, it has been shown that the elasticity tensor corresponding to the resultant microstructure proves to be almost isotropic.

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Modeling the thermoelastic?viscoplastic response of polycrystals using a continuum representation over the orientation space

Cited by 31 publications

References 51 publications

On the determination of material parameters for internal variable thermoelastic–viscoplastic constitutive models

On the determination of material parameters for internal variable thermoelastic–viscoplastic constitutive models

A coupled temperature and strain rate dependent yield function for dynamic deformations of bcc metals

On Elastic Symmetry Identification for Polycrystalline Materials

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