Multilevel model of inelastic deformation of FCC polycrystalline with description of structure evolution

Трусов, П. В.; Volegov, Pavel S.; Shveykin, A. I.

doi:10.1016/j.commatsci.2013.06.037

Cited by 17 publications

(14 citation statements)

References 24 publications

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“…Therefore, using the approach explained in [46], we will get the following expressions for tensors of spin A (2) and inelastic component of strain rate tensor D in (2) :…”

Section: Wwwzamm-journalorgmentioning

confidence: 99%

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Two‐level models of polycrystalline elastoviscoplasticity: Complex loading under large deformations

2015

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Key words Polycrystal, multilevel models, geometrical nonlinear models, matching of constitutive relations, quasi-rigid motion, loading process image, complex loading, material memory, vector property lagging. This paper considers the application of multilevel mathematical models describing processes of severe inelastic deformations of monocrystals and polycrystals that requires the usage of geometrically and physically nonlinear constitutive relations. In order to describe the behavior of a representative macrovolume, a two-level model based on the physical theory of elastoviscoplasticity is used. The motion of rigid corotating frame describing quasi-rigid motion is determined by a macrolevel motion decomposition hypothesis. The following macrolevel hypotheses are considered: (1) the representative volume total motion is a deformational one; (2) the motion is decomposed into a deformational and a rigid ones with a spin being determined by an averaging of the mesolevel spins; (3) quasi-solid and deformational motions are determined by corresponding skew-symmetrical and symmetrical parts of the macrolevel displacement velocity gradient. In order to describe experimentally known effects observed under complex loading the questions related to the application of monoand poly-crystals inelastic deformation multilevel models based on crystal plasticity theories are discussed. In particular, a polycrystalline metals inelastic deformation of the two-level model is used to consider the scalar and vector properties lagging effects arising during deformation path breakage within the Ilyushin's space: the isotropy postulate fulfillment is discussed and a possible explanation for the effects based on physical consideration is provided.

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“…Therefore, using the approach explained in [46], we will get the following expressions for tensors of spin A (2) and inelastic component of strain rate tensor D in (2) :…”

Section: Wwwzamm-journalorgmentioning

confidence: 99%

“…In order to solve this problem, we used the approach proposed in article [46]. This approach is based on the use of constitutive relations matching conditions for different scales within the multilevel constitutive material model [49].…”

Section: Introductionmentioning

confidence: 99%

Two‐level models of polycrystalline elastoviscoplasticity: Complex loading under large deformations

2015

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“…The explicit internal variables of the macrolevel model are spin of a movable coordinate system Ω, effective anisotropic elastic properties П and the inelastic in D part of the strain rate tensor. These variables depend on the behavior of lower scale levels at each time moment, and it is determined from the consistency conditions of the scale levels (1) 2 -(1) 4 [4]. The designation < > in Eq.…”

Section: The General Srtucture Of a Two-level Modelmentioning

confidence: 99%

“…The proposed relations (3)- (5) close the two-level model of the inelastic deformation of polycrystalline metals. The paper [4] proposes the development of the model (3)- (5) to describe the real kinematics of plastic rotations and fragmentation of crystallites from grain boundaries.…”

Section: -2mentioning

confidence: 99%

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Description of grain lattice rotation and fragmentation mechanisms using crystal plasticity

Volegov¹,

Telkanov²

2016

AIP Conference Proceedings

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Abstract. The goal is to construct a physically based, mathematically correct multilevel model of intensive inelastic deformation of mono-and polycrystalline taking into account the evolution of the orientation of structural elements, rotations of crystal lattices of crystallites, allowing one to obtain the physical and mechanical properties of the sample at the macro level. The general structure of the multilevel models of inelastic deformation of materials, including the description of the evolution of the internal structure, is considered. A model of crystallite lattice rotations that takes into account the incompatibility of slip dislocations in neighboring grains is proposed. The results of numerical experiments for ECAP agree well with the experimental data.

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Thermomechanical Processing of Steels and Alloys: Multilevel Modeling

Трусов¹,

Shveykin²,

Kondratev³

et al. 2017

Encyclopedia of Continuum Mechanics

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Multilevel model of inelastic deformation of FCC polycrystalline with description of structure evolution

Cited by 17 publications

References 24 publications

Two‐level models of polycrystalline elastoviscoplasticity: Complex loading under large deformations

Two‐level models of polycrystalline elastoviscoplasticity: Complex loading under large deformations

Description of grain lattice rotation and fragmentation mechanisms using crystal plasticity

Thermomechanical Processing of Steels and Alloys: Multilevel Modeling

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