A phenomenological constitutive model for Functionally Graded Porous Shape Memory Alloy

被引：15

作者：

Xue, Lijun ^{[1
]}

Dui, Guansuo ^{[1
]}

Liu, Bingfei ^{[2
]}

Xin, Libiao ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Inst Mech, Beijing 100044, Peoples R China

[2] Civil Aviat Univ China, Airport Coll, Tianjin 300300, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE | 2014年 / 78卷

基金：

中国国家自然科学基金;

关键词：

Functionally graded material; Porous Shape Memory Alloy; Constitutive model; Transformation function; LARGE-PORE-SIZE; PHASE-TRANSFORMATION; PART II; BEHAVIOR;

D O I：

10.1016/j.ijengsci.2014.02.013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Functionally Graded Porous Shape Memory Alloy (FGP-SMA), whose porosity varies continuously along gradient direction, has attracted wide attention in the field of smart materials. Considering the Gibbs free energy, a phenomenological constitutive model which can be used to predict the mechanical behaviors of FGP-SMA is presented here by using the theory of thermodynamics. A new transformation function considering the effect of hydrostatic stress is proposed. A finite element model is also provided to investigate the mechanical properties of a FGP-SMA cylinder. The uniaxial compression test of the FGP-SMA cylinder is simulated by using those two models mentioned above. Numerical results show a reasonable agreement with experimental results, which implies that the models established in this work are valid. What's more, the average stress-strain relation, the stress distribution on the cross section and the energy absorption properties of the FGP-SMA cylinder are investigated in detail. The results obtained demonstrate several interesting features of this new material, which may have potential applications in practice. (c) 2014 Elsevier Ltd. All rights reserved.

引用

页码：103 / 113

页数：11

共 28 条

[1] A theoretical analysis of flexional bending of Al/Al2O3 S-FGM thick beams [J].

Ben-Oumrane, Sallai ;

Abedlouahed, Tounsi ;

Ismail, Mechab ;

Mohamed, Bachir Bouiadjra ;

Mustapha, Meradjah ;

El Abbas, Adda Bedia .

COMPUTATIONAL MATERIALS SCIENCE, 2009, 44 (04) :1344-1350

[2]

Birman V., 1997, Appl. Mech. Rev, V50, P629, DOI DOI 10.1115/1.3101674

[3] Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations [J].

Bo, ZH ;

Lagoudas, DC .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1999, 37 (09) :1089-1140

[4]

Brinson LC., 1993, J INTEL MAT SYST STR, V4, P229, DOI DOI 10.1177/1045389X9300400213

[5] THE THERMODYNAMICS OF ELASTIC MATERIALS WITH HEAT CONDUCTION AND VISCOSITY [J].

COLEMAN, BD ;

NOLL, W .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1963, 13 (03) :167-178

[6]

Entchev PB, 2004, MECH MATER, V36, P893

[7] Modeling porous shape memory alloys using micromechanical averaging techniques [J].

Entchev, PB ;

Lagoudas, DC .

MECHANICS OF MATERIALS, 2002, 34 (01) :1-24

[8] Two-dimensional contact analysis of elastic graded materials [J].

Giannakopoulos, AE ;

Pallot, P .

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2000, 48 (08) :1597-1631

[9] Bending of functionally graded cantilever beam with power-law non-linearity subjected to an end force [J].

Kang, Ying-An ;

Li, Xian-Fang .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2009, 44 (06) :696-703

[10] Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys [J].

Lagoudas, Dimitris ;

Hartl, Darren ;

Chemisky, Yves ;

Machado, Luciano ;

Popov, Peter .

INTERNATIONAL JOURNAL OF PLASTICITY, 2012, 32-33 :155-183

← 1 2 3 →