A Correction to the Brinson's Evolution Kinetics for Shape Memory Alloys
Phase diagram based approach is frequently used to investigate the shape memory alloy behavior. Typically, evolution laws for the martensitic phase fraction are defined for different local transformation regions in the stress—temperature phase diagram. In the Brinson's evolution kinetics, under...
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| Published in: | Journal of intelligent material systems and structures Vol. 19; no. 1; pp. 43 - 46 |
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| Language: | English |
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London, England
SAGE Publications
01-01-2008
Technomic |
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| Abstract | Phase diagram based approach is frequently used to investigate the shape memory alloy behavior. Typically, evolution laws for the martensitic phase fraction are defined for different local transformation regions in the stress—temperature phase diagram. In the Brinson's evolution kinetics, under certain conditions, the local evolution law for the formation of martensitic fraction leads to inadmissible phase fraction (>1). This pertains to a case where both stress- and temperature-induced martensite evolve simultaneously. A modified evolution law is presented here to overcome this anomaly. |
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| AbstractList | Phase diagram based approach is frequently used to investigate the shape memory alloy behavior. Typically, evolution laws for the martensitic phase fraction are defined for different local transformation regions in the stress-temperature phase diagram. In the Brinson's evolution kinetics, under certain conditions, the local evolution law for the formation of martensitic fraction leads to inadmissible phase fraction ( > 1). This pertains to a case where both stress- and temperature-induced martensite evolve simultaneously. A modified evolution law is presented here to overcome this anomaly. |
| Author | Buravalla, Vidyashankar R. Khandelwal, Ashish |
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| Cites_doi | 10.1177/1045389X9300400213 10.1177/1045389X9400500402 10.1016/S1359-6454(97)00490-4 10.1002/0471216275.esm074 10.1115/1.3101674 10.1088/0964-1726/14/6/022 10.1177/1045389X9000100205 |
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| Keywords | Shape memory alloy martensitic phase transformation evolution kinetics Phase diagrams Phase transformations Martensitic transformations Kinetics Thermal stresses |
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| References | Ivshin, Y., Pence, T.J. 1994; 5 Liang, C., Rogers, C.A. 1990; 2 Bekker, A., Brinson, L.C. 1998; 46 Brinson, L.C. 1993; 4 Elahinia, M.H., Ahmadian, M. 2005; 14 Birman, V. 1997; 50 Tanaka, K. 1986; 18 Tanaka, K. (atypb8) 1986; 18 atypb1 atypb3 atypb2 atypb5 atypb4 atypb7 atypb6 |
| References_xml | – volume: 4 start-page: 229 issue: 2 year: 1993 end-page: 242 article-title: One Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-constant Material Functions and redefined martensite internal variable,'' J. Intell. Matl publication-title: Syst. Struct. contributor: fullname: Brinson, L.C. – volume: 46 start-page: 3649 issue: 10 year: 1998 end-page: 3655 article-title: Phase Diagram based Description of the Hysteresis Behavior of Shape Memory Alloys publication-title: Acta Mater. contributor: fullname: Brinson, L.C. – volume: 2 start-page: 207 year: 1990 end-page: 234 article-title: One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials,'' J. Intell. Matl publication-title: Syst. Struct. contributor: fullname: Rogers, C.A. – volume: 50 start-page: 629 year: 1997 end-page: 645 article-title: Review of Mechanics of Shape Memory Alloy Structures publication-title: Appl. Mech. Reviews contributor: fullname: Birman, V. – volume: 5 start-page: 455 year: 1994 end-page: 473 article-title: A Thermomechanical Model for a One-variant Shape Memory Material,'' J. Intell. Matl publication-title: Syst. Struct. contributor: fullname: Pence, T.J. – volume: 18 start-page: 251 year: 1986 end-page: 263 article-title: A Thermomechanical Sketch of Shape Memory Effect: One Dimensional Tensile Behavior publication-title: Res. Mechanica contributor: fullname: Tanaka, K. – volume: 14 start-page: 1297 year: 2005 end-page: 1308 article-title: An Enhanced SMA Phenomenological Model: I. The Shortcomings of the Existing Models publication-title: Smart Mater. Struct. contributor: fullname: Ahmadian, M. – ident: atypb4 doi: 10.1177/1045389X9300400213 – ident: atypb6 doi: 10.1177/1045389X9400500402 – ident: atypb1 doi: 10.1016/S1359-6454(97)00490-4 – ident: atypb2 doi: 10.1002/0471216275.esm074 – ident: atypb3 doi: 10.1115/1.3101674 – ident: atypb5 doi: 10.1088/0964-1726/14/6/022 – ident: atypb7 doi: 10.1177/1045389X9000100205 – volume: 18 start-page: 251 year: 1986 ident: atypb8 publication-title: Res. Mechanica contributor: fullname: Tanaka, K. |
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| Snippet | Phase diagram based approach is frequently used to investigate the shape memory alloy behavior. Typically, evolution laws for the martensitic phase fraction... |
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| SubjectTerms | Condensed matter: structure, mechanical and thermal properties Equations of state, phase equilibria, and phase transitions Exact sciences and technology Physics Solid-solid transitions Specific phase transitions |
| Title | A Correction to the Brinson's Evolution Kinetics for Shape Memory Alloys |
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