Simulation of asymmetric effects for shape memory alloys by decomposition of transformation strains

Mahnken, Rolf; Wilmanns, Stefan

doi:10.1016/j.commatsci.2007.07.042

Cited by 13 publications

(7 citation statements)

References 30 publications

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“…However, a key shortcoming common to the aforementioned models is that they cannot describe the compressive thermo-mechanical behavior of SMAs. Although several researchers have attempted to account for the compressive behavior, there were some differences in the behavior between the numerical and the experimental results (Auricchio et al, 2009;Baeta-Neves et al, 2004;Mahnken and Wilmanns, 2008;Paiva et al, 2005).…”

Section: Introductionmentioning

confidence: 78%

Development of martensite transformation kinetics of NiTi shape memory alloys under compression

Yoo

Kim

Shin

et al. 2015

International Journal of Solids and Structures

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Martensite transformation kinetics is the principal factor underlying the constitutive model of shape memory alloys (SMAs). Therefore, the transformation kinetics formulation is essential for predicting the thermo-mechanical behavior of SMAs. In this work, we show that previous models, including the Brinson model, which is the most widely used onedimensional phenomenological model, cannot describe the compressive thermo-mechanical behavior of SMAs due to the tension-compression asymmetry. In addition, a new transformation kinetics is derived which precisely predicts the compressive behavior of SMAs based on the following experimental results: (1) drastic variation exists during transformation, and the plastic deformation is not ignored in compression; (2) the plastic deformation increases in proportion to the volume fraction of detwinned martensite; and (3) the critical stress-temperature slopes largely increase and the slopes of the start and finish temperatures of each phase are not identical to each other. Finally, numerical calculations using the suggested transformation equation are conducted to verify its capability through a comparison with the compressive experimental results. According to the results, the suggested transformation kinetics can predict the thermo-mechanical behavior of SMAs more precisely under compression.

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Section: Introductionmentioning

confidence: 78%

Development of martensite transformation kinetics of NiTi shape memory alloys under compression

Yoo

Kim

Shin

et al. 2015

International Journal of Solids and Structures

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“…An asymmetry between tension and compression has been found for material like SMA, this effect is also called SD-effect for "strength differential effect" [2], [3] and [4]. This effect appears clearly on the surface at the initiation transformation from austenite to martensite under proportional loading.…”

Section: Taking Into Account the Asymmetry Between Tension And Comprementioning

confidence: 93%

Application with the experimental results of the Roundrobin of a 3D modelling SMA based on the based on the phase transformation surface identification under proportional loading and anisothermal conditions

Gibeau

Lexcellent

Boubakar

2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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Abstract. We present a model based on the phase transformation surface of SMA. This model is described per a thermodynamical point of view. We applied this modelling on an experimental part that has been realized by P. Sittner et al. on a nickel titane wire. We had several experimental sets with we could show the performances of our model, in particular when the taking into account of the asymmetry of the yield surface and the respect of the hysteresis width.

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“…It could also be dependent on additional strain tensors, which eventually results into the use of back stress tensors, as discussed, e.g. in Wolff et al [51] and Mahnken and Wilmanns [31]. Using the additive decomposition (2.1) and the identity ∂ /∂C e :Ċ e = 2(C e · ∂ /∂C e ) : L e the Clausius-Duham inequality (3) with quantities with respect to the intermediate configuration results into…”

Section: Dissipation Inequalitymentioning

confidence: 98%

“…For the case, that the transformation yield function satisfies ϕ = 0 the Lagrangian multiplier related to phase transformationμ is said to be driven by the strain rate L, the rate of martensite volume fractionż and the temperature rateθ occurring in Eq. (31). This strain-temperature-martensite induced formulation can however be rewritten as a stress-temperature-induced formulation, where again for illustrative purpose we restrict to the case of phase transformation, and in this way neglecting plasticity effects.…”

Section: Consistency Conditions and Lagrangian Multipliersmentioning

confidence: 98%

A thermodynamics framework and numerical aspects for transformation-induced plasticity at large strains

Mahnken

Schneidt

2009

Arch Appl Mech

Self Cite

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In this work, we present a macroscopic material model for simulation transformation-induced plasticity, which is an important phenomenon in metal forming processes. The model is formulated within a thermodynamic framework at large strains. In order to account for both, phase transformation and plasticity, yield functions are related to these effects. Then, applying the concept of maximum dissipation evolution equations are obtained for the inelastic strains, the transformation strains, a hardening variable and the volume fraction of martensite. Furthermore the numerical implementation of the constitutive equations into a finite element program is described. In a numerical example we investigate the austenite-to-martensite phase transformation in a shaft subjected to thermo-mechanical loading in a hybrid-forming process.

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Simulation of asymmetric effects for shape memory alloys by decomposition of transformation strains

Cited by 13 publications

References 30 publications

Development of martensite transformation kinetics of NiTi shape memory alloys under compression

Development of martensite transformation kinetics of NiTi shape memory alloys under compression

Application with the experimental results of the Roundrobin of a 3D modelling SMA based on the based on the phase transformation surface identification under proportional loading and anisothermal conditions

A thermodynamics framework and numerical aspects for transformation-induced plasticity at large strains

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