Modeling of temperature and rate dependence of the flow stress and evolution of a deformation defect medium in dispersion-hardened materials

Kolupaeva, S. N.; Kovalevskaya, Т. А.; Daneyko, O. I.; Semenov, Mikhail; Kulaeva, N. A.

doi:10.3103/s1062873810110080

Cited by 8 publications

(16 citation statements)

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“…The model takes into account the basic processes of generation, annihilation, and relaxation transformation of dislocations of various types and point defects [8][9][10]. In the processes of deformation and subsequent relaxation, mutual transformations are possible between the structural elements.…”

Section: Mathematical Modelmentioning

confidence: 99%

Investigation of Thermal Hardening of the FCC Material Containing Strengthening Particles with an L12 Superstructure

et al. 2015

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A mathematical model of plastic deformation of dispersion-hardened materials with an fcc matrix containing strengthening particles with an L1 2 superstructure having a coherent relationship with the matrix is presented. The model is based on the balance equations of deformation defects of different types with taking into account their transformation during plastic deformation. The influence of scale characteristics of the hardening phase, temperature, and deformation rate on the evolution of the dislocation subsystem and strain hardening of an alloy with an fcc matrix hardened by particles with an L1 2 superstructure is studied. A temperature anomaly of mechanical properties is found for the materials with different fcc matrices (Al, Cu, Ni). It is shown that the temperature anomaly is more pronounced for the material with larger volume fraction of the hardening phase. INTRODUCTIONIn material science, the use of composites based on a metal matrix hardened by the second phase to improve the mechanical properties of materials for various purposes remains of current interest. In almost any area of research, a convenient and universal instrument is mathematical modeling that allows widely vary the characteristics of the material and the impacts on the material. The modeling allows to precede and, perhaps, even to replace the experimental studies. This paper presents a mathematical model of plastic deformation in the dispersion-hardened materials with the fcc matrix containing the hardening particles with an L1 2 superstructure having a coherent relationship with the matrix.In preparation and investigation of materials for various purposes, mathematical modeling allows to accelerate the processes of analysis and implementation of the results, to explore the fundamental properties, mechanisms and processes that determine the strength and plastic properties of materials. Varying the composition of the matrix and filler and their ratio, we can get a wide range of the dispersion-hardened materials with the desired set of properties. The aim of this study is to investigate the effect of the deformation temperature on the hardening of material with a variety of scale characteristics of the hardening phase in a wide range of external influences. MATHEMATICAL MODELIntroduction of a coherent phase ordered by an L1 2 type into an fcc metal matrix brings a number of features in the accumulation of dislocations and strain hardening of the material [1-4]. Dislocations interact with coherent particles, whose number is assumed to be equal to N = 1/Λ p . It is the number of the hardening particles per unit length of the dislocation and Λ р is an average distance between the centers of the particles.The moving dislocations can cut through a coherent particle of an ordered phase shifting it to a distance equal

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Section: Mathematical Modelmentioning

confidence: 99%

Investigation of Thermal Hardening of the FCC Material Containing Strengthening Particles with an L12 Superstructure

et al. 2015

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“…Formation of shear zones is accompanied by generation of deformation defects (shear-forming dislocations, prismatic dislocation loops, dislocation dipoles, interstitial atoms, mono-and bivacancies) and their subsequent annihilation. Mathematical model is based on the balance equations of deformation defects of different types [7][8][9][10][11]: …”

Section: Mathematical Modelmentioning

confidence: 99%

Plastic Behavior of Heterophase Alloys with a Fcc Matrix Hardened by Particles with an L12 Superstructure

et al. 2015

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Using a mathematical model of plastic deformation of dispersion-hardened materials, the effect of the scale characteristics of the hardening phase with an L1 2 superstructure on the temperature dependence of the flow stress and evolution of the dislocation subsystem of heterophase alloys with the fcc matrix is studied. It is found that in materials with a nanoscale hardening phase, more intensive strain hardening and more severe temperature anomaly of mechanical properties is observed, than in materials containing larger particles at the same volume fraction of the hardening phase.

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“…The mathematical model used here consists of a system of differential equations of balance of the elements of the deformational defect medium [1][2][3], allowing to conduct a study of the plastic behavior of a material with nanoscale particles of incoherent and coherent types [4,5]. Dislocations bend around incoherent particles during plastic deformation, which, in addition to the hardening effect, causes the appearance of the new elements of the dislocation structure.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Mutual conversions are possible between the structural elements in the course of deformation and subsequent relaxation processes. Here the nature and result of interactions of elements of the dislocation structure with the particles can vary with variation of the relationships between the scale characteristics of the strengthening phase (size and shape of particles and distance between them) and the distance between dislocations [3]. The balance equations of the dislocations take into account annihilation of screw dislocations by cross-slip and of non-screw dislocations by climb on account of precipitation on them of point defects.…”

Section: The Mathematical Modelmentioning

confidence: 99%

Mathematical modeling of the deformation behavior of heterophase alloys at various characteristics of the strengthening phase

Daneyko

Kovalevskaya

Kolupaeva

et al. 2015

IOP Conf. Ser.: Mater. Sci. Eng.

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Further development of techniques and technologies urgently requires the creation of new materials with unique properties. One of the most popular and promising areas in materials science is the creation of composite materials with desired properties. Currently, in practice peening by dispersed particles is widely used to improve the properties of metal materials. It is necessary to investigate in detail the influence of various factors on the behavior of dispersion-hardened materials in a variety of conditions to control the properties of materials. Physical experiment, in addition to large investments, often takes a long time. This paper presents a mathematical model of plastic deformation of dispersion-hardened materials with a face-centered cubic (fcc) matrix and with incoherent and coherent nanoscale particles. Application of this model can significantly reduce the time of research and necessary amount of physical experiment. The results allow optimizing of experiment, identifying ways to improve the properties of the materials.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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Modeling of temperature and rate dependence of the flow stress and evolution of a deformation defect medium in dispersion-hardened materials

Cited by 8 publications

References 0 publications

Investigation of Thermal Hardening of the FCC Material Containing Strengthening Particles with an L12 Superstructure

Investigation of Thermal Hardening of the FCC Material Containing Strengthening Particles with an L12 Superstructure

Plastic Behavior of Heterophase Alloys with a Fcc Matrix Hardened by Particles with an L12 Superstructure

Mathematical modeling of the deformation behavior of heterophase alloys at various characteristics of the strengthening phase

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