A multi-block-spin approach for martensitic phase transformation based on statistical physics

被引：3

作者：

Fischlschweiger, M. ^{[1
,2
]}

Oberaigner, E. R. ^{[3
]}

Antretter, T. ^{[3
]}

Cailletaud, G. ^{[2
]}

机构：

[1] Mat Ctr Leoben Forsch GmbH, Roseggerstr 12, A-8700 Leoben, Austria

[2] Ctr Materiaux, CNRS, MINES Paristech, UMR 7633, F-91003 Evry, France

[3] Univ Leoben, Inst Mech, Leoben, Austria

来源：

BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2011 | 2011年 / 7978卷

关键词：

martensitic phase transformation; multiple variants; representative mole element; statistical mechanics; SHAPE-MEMORY ALLOY; MACROSCOPIC CONSTITUTIVE LAW; TEMPERATURE; STRESS; FEM;

D O I：

10.1117/12.881960

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Current strategies in modeling shape memory alloy (SMA) behavior follow either the concept of classical irreversible thermodynamics or the methodology of phenomenological approaches at the micro as well as at the macro space scale. The objective of the present study is to show a new approach in modeling SMA's by using a statistical physics concept without the requirement of evolution equations for internal variables. Thermodynamic principles in connection with the mathematical apparatus of statistical physics allow deriving relevant system properties in analogy to the formalism used for paramagnetic-ferromagnetic systems. As a result the macroscopic strains and the volume fractions of the martensitic variants and their rates are obtained. The multi-block-spin approach further maps the tension compression asymmetry of multivariant SMA's.

引用

页数：8

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