Amplitude equation for a dynamic strain aging model

Beyond linear stability analysis of serrated flow in metallic alloys

Sergey Rashkeev, Michael V. Glazov, Frédéric Barlat, Daniel J. Lege

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A method for construction of "processing windows" to avoid negative strain rate sensitivity and associated serrated flow in some aluminum alloys is described. The method is based on the amplitude Ginzburg-Landau (GL) equations and analysis of bifurcation diagrams. The mathematical technique developed in the present work was applied to a specific aluminum alloy, Al-0.4%Mg-0.2%Si considered earlier in the literature [1-3], and yielded good results in terms of predicting the negative strain rate sensitivity regions in the "strain rate -temperature" parameter space. Using the GL-analysis it was demonstrated that even though the instability area is located in the region of intermediate strain rates, a qualitative difference exists between the areas of (relatively) fast and (relatively) slow strain rates. In the first case the dynamic behavior of the system is supercritical, in the second case it is subcritical. The second case is highly undesirable because it causes a sudden onset of stable stress serrations that are difficult to suppress, while in the first case the development of instability is gradual and, consequently, more easily controllable.

Original languageEnglish
Title of host publicationMaterials Research Society Symposium - Proceedings
EditorsM Aindow, M Asta, M Glazov, D Medlin, A Rollett
Volume652
Publication statusPublished - 2001
Externally publishedYes
EventInfuences of Interface and Dislocation Behavior on Microstructure Evolution - Boston, MA, United States
Duration: 27 Nov 200030 Nov 2000

Other

OtherInfuences of Interface and Dislocation Behavior on Microstructure Evolution
CountryUnited States
CityBoston, MA
Period27/11/0030/11/00

Fingerprint

Linear stability analysis
Strain rate
Aging of materials
Aluminum alloys
Bifurcation (mathematics)
Processing
Temperature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials

Cite this

Rashkeev, S., Glazov, M. V., Barlat, F., & Lege, D. J. (2001). Amplitude equation for a dynamic strain aging model: Beyond linear stability analysis of serrated flow in metallic alloys. In M. Aindow, M. Asta, M. Glazov, D. Medlin, & A. Rollett (Eds.), Materials Research Society Symposium - Proceedings (Vol. 652)

Amplitude equation for a dynamic strain aging model : Beyond linear stability analysis of serrated flow in metallic alloys. / Rashkeev, Sergey; Glazov, Michael V.; Barlat, Frédéric; Lege, Daniel J.

Materials Research Society Symposium - Proceedings. ed. / M Aindow; M Asta; M Glazov; D Medlin; A Rollett. Vol. 652 2001.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rashkeev, S, Glazov, MV, Barlat, F & Lege, DJ 2001, Amplitude equation for a dynamic strain aging model: Beyond linear stability analysis of serrated flow in metallic alloys. in M Aindow, M Asta, M Glazov, D Medlin & A Rollett (eds), Materials Research Society Symposium - Proceedings. vol. 652, Infuences of Interface and Dislocation Behavior on Microstructure Evolution, Boston, MA, United States, 27/11/00.
Rashkeev S, Glazov MV, Barlat F, Lege DJ. Amplitude equation for a dynamic strain aging model: Beyond linear stability analysis of serrated flow in metallic alloys. In Aindow M, Asta M, Glazov M, Medlin D, Rollett A, editors, Materials Research Society Symposium - Proceedings. Vol. 652. 2001
Rashkeev, Sergey ; Glazov, Michael V. ; Barlat, Frédéric ; Lege, Daniel J. / Amplitude equation for a dynamic strain aging model : Beyond linear stability analysis of serrated flow in metallic alloys. Materials Research Society Symposium - Proceedings. editor / M Aindow ; M Asta ; M Glazov ; D Medlin ; A Rollett. Vol. 652 2001.
@inproceedings{abc0ddf40d9e4436921e8e3a8592def6,
title = "Amplitude equation for a dynamic strain aging model: Beyond linear stability analysis of serrated flow in metallic alloys",
abstract = "A method for construction of {"}processing windows{"} to avoid negative strain rate sensitivity and associated serrated flow in some aluminum alloys is described. The method is based on the amplitude Ginzburg-Landau (GL) equations and analysis of bifurcation diagrams. The mathematical technique developed in the present work was applied to a specific aluminum alloy, Al-0.4{\%}Mg-0.2{\%}Si considered earlier in the literature [1-3], and yielded good results in terms of predicting the negative strain rate sensitivity regions in the {"}strain rate -temperature{"} parameter space. Using the GL-analysis it was demonstrated that even though the instability area is located in the region of intermediate strain rates, a qualitative difference exists between the areas of (relatively) fast and (relatively) slow strain rates. In the first case the dynamic behavior of the system is supercritical, in the second case it is subcritical. The second case is highly undesirable because it causes a sudden onset of stable stress serrations that are difficult to suppress, while in the first case the development of instability is gradual and, consequently, more easily controllable.",
author = "Sergey Rashkeev and Glazov, {Michael V.} and Fr{\'e}d{\'e}ric Barlat and Lege, {Daniel J.}",
year = "2001",
language = "English",
volume = "652",
editor = "M Aindow and M Asta and M Glazov and D Medlin and A Rollett",
booktitle = "Materials Research Society Symposium - Proceedings",

}

TY - GEN

T1 - Amplitude equation for a dynamic strain aging model

T2 - Beyond linear stability analysis of serrated flow in metallic alloys

AU - Rashkeev, Sergey

AU - Glazov, Michael V.

AU - Barlat, Frédéric

AU - Lege, Daniel J.

PY - 2001

Y1 - 2001

N2 - A method for construction of "processing windows" to avoid negative strain rate sensitivity and associated serrated flow in some aluminum alloys is described. The method is based on the amplitude Ginzburg-Landau (GL) equations and analysis of bifurcation diagrams. The mathematical technique developed in the present work was applied to a specific aluminum alloy, Al-0.4%Mg-0.2%Si considered earlier in the literature [1-3], and yielded good results in terms of predicting the negative strain rate sensitivity regions in the "strain rate -temperature" parameter space. Using the GL-analysis it was demonstrated that even though the instability area is located in the region of intermediate strain rates, a qualitative difference exists between the areas of (relatively) fast and (relatively) slow strain rates. In the first case the dynamic behavior of the system is supercritical, in the second case it is subcritical. The second case is highly undesirable because it causes a sudden onset of stable stress serrations that are difficult to suppress, while in the first case the development of instability is gradual and, consequently, more easily controllable.

AB - A method for construction of "processing windows" to avoid negative strain rate sensitivity and associated serrated flow in some aluminum alloys is described. The method is based on the amplitude Ginzburg-Landau (GL) equations and analysis of bifurcation diagrams. The mathematical technique developed in the present work was applied to a specific aluminum alloy, Al-0.4%Mg-0.2%Si considered earlier in the literature [1-3], and yielded good results in terms of predicting the negative strain rate sensitivity regions in the "strain rate -temperature" parameter space. Using the GL-analysis it was demonstrated that even though the instability area is located in the region of intermediate strain rates, a qualitative difference exists between the areas of (relatively) fast and (relatively) slow strain rates. In the first case the dynamic behavior of the system is supercritical, in the second case it is subcritical. The second case is highly undesirable because it causes a sudden onset of stable stress serrations that are difficult to suppress, while in the first case the development of instability is gradual and, consequently, more easily controllable.

UR - http://www.scopus.com/inward/record.url?scp=0035559761&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035559761&partnerID=8YFLogxK

M3 - Conference contribution

VL - 652

BT - Materials Research Society Symposium - Proceedings

A2 - Aindow, M

A2 - Asta, M

A2 - Glazov, M

A2 - Medlin, D

A2 - Rollett, A

ER -