Elastic interactions between variants in pseudoelastic single crystals

Fassi-Fehri, O.; Hihi, A.; Berveiller, M.

doi:10.1016/0036-9748(87)90320-6

Cited by 16 publications

(8 citation statements)

References 4 publications

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“…In the present simulations, the authors did not account for variant interaction due to the complexity of the phenomenon. A model for the interaction of martensite variants has been developed by Fassi-Fehri et al [58] The interaction term does help the micromechanical model to predict more accurate transformation stress-strain slopes. However, the purpose of this model is to help explain the effect of different stress states on the critical stress required for transformation and not to predict the precise shape of the transformation stressstrain curves.…”

Section: Micromechanical Modelingmentioning

confidence: 99%

Stress-induced martensitic phase transformations in polycrystalline CuZnAl shape memory alloys under different stress states

Gall

Jacobus

Şehitoğlu

et al. 1998

Metall Mater Trans A

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The effect of different uniaxial and triaxial stress states on the stress-induced martensitic transformation in CuZnAl was investigated. Under uniaxial loading, it was found that the compressive stress level required to macroscopically trigger the transformation was 34 pct larger than the required tensile stress. The triaxial tests produced effective stress-strain curves with critical transformation stress levels in between the tensile and compressive results. It was found that pure hydrostatic pressure was unable to experimentally trigger a stress-induced martensitic transformation due to the large pressures required. Traditional continuum-based transformation theories, with transformation criteria and Clausius-Clapeyron equations modified to depend on the volume change during transformation, could not properly predict stress-state effects in CuZnAl. Considering a combination of hydrostatic (volume change) effects and crystallographic effects (number of transforming variants), a micromechanical model is used to estimate the dependence of the critical macroscopic transformation stress on the stress state.

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Section: Micromechanical Modelingmentioning

confidence: 99%

Stress-induced martensitic phase transformations in polycrystalline CuZnAl shape memory alloys under different stress states

Gall

Jacobus

Şehitoğlu

et al. 1998

Metall Mater Trans A

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“…Its acurate evaluation needs the know ledge of shape and spatial positions of the variants. Neverthe less, indirect evaluations may be realized by using the solution of the problem of the plastic inclusion pair [20,21] or by the calculation of the elastic energy associated with the interface between two compatible or incompatible variants [22]. These two methods give the samo expression for E incl where tensor S is the plastic stiffness.…”

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confidence: 99%

Thermomechanical Behavior of Shape Memory Alloys

Patoor¹,

Eberhardt²,

Berveiller³

1989

ESOMAT 1989 - Ist European Symposium on Martensitic Transformations in Science and Technology

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“…According to this definition of the interaction matrix H, the interaction energy (7) writes then as: (11) It is necessary to note that the assumptions used to determine this matrix limit its utilization to stress-induced transformations (superelasticity and two-way shape memory). Among these limitations, the number of variants present in a grain has to remain weak.…”

Section: Thermodynamical Potential and Interaction Energymentioning

confidence: 99%

“…Utilization of relationship (11) in the free energy allows to use only the volume fraction of the different variants of martensite as internal variables:…”

Section: Thermodynamical Forces and Crystal Behavior Lawmentioning

confidence: 99%

“…According to micromechanical analysis [11,12], the interaction energy, W int can be approximated by a quadratic function of the volume fractions f n of the different variant of martensite and requires the definition of an interaction matrix H nm which gives the nature of the interaction (compatible or incompatible) between the different variants involved. The interaction energy by unit volume, may be expressed as:…”

Section: Thermodynamical Potential and Interaction Energymentioning

confidence: 99%

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Micromechanical approach of stress-induced phase transformation

Patoor

2003

Smart Structures and Materials 2003: Active Materials: Behavior and Mechanics

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Stress-induced martensitic phase transformation is responsible of very important phenomena like superelasticity or two-way shape memory in shape memory alloys. These phenomena are at the origin of many innovative products in industrial fields like aerospace or biomedical applications. To reach the best design is a very difficult task for applications using shape memory alloys: due to the existence of a phase transformation, these materials can no longer be considered as homogeneous and macroscopic approaches failed to give an accurate description of their behavior. The recent trend using SMA thin film as microactuator in microdevice increase the need of reliable design tools. Moderns concepts developed in micromechanics and finite element analysis are well adapted to deal with these problems. Intra and intergranular stresses building from transformation strain incompatibilities in bulk materials or thin films are well accounted using these tools, even when complex loading conditions or different initial crystallographic texture are considered.

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Elastic interactions between variants in pseudoelastic single crystals

Cited by 16 publications

References 4 publications

Stress-induced martensitic phase transformations in polycrystalline CuZnAl shape memory alloys under different stress states

Stress-induced martensitic phase transformations in polycrystalline CuZnAl shape memory alloys under different stress states

Thermomechanical Behavior of Shape Memory Alloys

Micromechanical approach of stress-induced phase transformation

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