A phenomenological two-phase constitutive model for porous shape memor alloys

Tamer El Saed, Ercan Gurses, Muhammad Amir

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We present a two-phase constitutive model for pseudoelastoplastic behavior of porous shape memory alloys (SMAs). The model consists of a dense SMA phase and a porous plasticity phase. The overall response of the porous SMA is obtained by a weighted average of responses of individual phases. Based on the chosen constitutive model parameters, the model incorporates the pseudoelastic and pseudoplastic behavior simultaneously (commonly reported for porous SMAs) as well as sequentially (i.e. dense SMAs; pseudoelastic deformation followed by the pseudoplastic deformation until failure). The presented model also incorporates failure due to the deviatoric (shear band formation) and volumetric (void growth and coalescence) plastic deformation. The model is calibrated by representative volume elements (RVEs) with different sizes of spherical voids that are solved by unit cell finite element calculations. The overall response of the model is tested against experimental results from literature. Finally, application of the presented constitutive model has been presented by performing finite element simulations of the deformation and failure in unaixial dog-bone shaped specimen and compact tension (CT) test specimen. Results show a good agreement with the experimental data reported in the literature.
Original languageEnglish
Pages (from-to)44-52
Number of pages9
JournalComputational Materials Science
Volume60
DOIs
Publication statusAccepted/In press - 2012

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Shape Memory
Constitutive Model
Constitutive models
Shape memory effect
shape memory alloys
Voids
Shear Bands
Model
Shear bands
Coalescence
Weighted Average
voids
Plastic Deformation
Finite Element Simulation
Bone
Plasticity
Plastic deformation
dogs
Experimental Data
Finite Element

Keywords

  • pseudoelastoplastic behavior
  • porous shape memory alloys
  • pseudoelastic deformation

Cite this

El Saed, Tamer ; Gurses, Ercan ; Amir, Muhammad. / A phenomenological two-phase constitutive model for porous shape memor alloys. In: Computational Materials Science. 2012 ; Vol. 60. pp. 44-52.
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A phenomenological two-phase constitutive model for porous shape memor alloys. / El Saed, Tamer; Gurses, Ercan; Amir, Muhammad.

In: Computational Materials Science, Vol. 60, 2012, p. 44-52.

Research output: Contribution to journalArticle

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AU - El Saed, Tamer

AU - Gurses, Ercan

AU - Amir, Muhammad

PY - 2012

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AB - We present a two-phase constitutive model for pseudoelastoplastic behavior of porous shape memory alloys (SMAs). The model consists of a dense SMA phase and a porous plasticity phase. The overall response of the porous SMA is obtained by a weighted average of responses of individual phases. Based on the chosen constitutive model parameters, the model incorporates the pseudoelastic and pseudoplastic behavior simultaneously (commonly reported for porous SMAs) as well as sequentially (i.e. dense SMAs; pseudoelastic deformation followed by the pseudoplastic deformation until failure). The presented model also incorporates failure due to the deviatoric (shear band formation) and volumetric (void growth and coalescence) plastic deformation. The model is calibrated by representative volume elements (RVEs) with different sizes of spherical voids that are solved by unit cell finite element calculations. The overall response of the model is tested against experimental results from literature. Finally, application of the presented constitutive model has been presented by performing finite element simulations of the deformation and failure in unaixial dog-bone shaped specimen and compact tension (CT) test specimen. Results show a good agreement with the experimental data reported in the literature.

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