On the mechanical behavior of single crystal NiTi shape memory alloys and related polycrystalline phenomenon

Gall, Ken; Şehitoğlu, Hüseyin; Anderson, R.J.; Караман, И.; Chumlyakov, Yuriy; Киреева, И. В.

doi:10.1016/s0921-5093(01)01183-2

Cited by 128 publications

(54 citation statements)

References 33 publications

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“…For this reason, the model is restricted to smaller pseudoelastic strains, where experimental evidence suggests that martensite detwinning is small. Specifically, single crystal tests by Gall et al (2001) show that at small strains, the transformation is consistent with internally twinned rather than detwinned martensite. Recent transmission electron microscopy studies confirm this, for solutionized NiTi samples under uniaxial compression (Norfleet et al 2009).…”

Section: Numerical Implementation Of the Constitutive Relationmentioning

confidence: 99%

Coupling between martensitic phase transformations and plasticity: A microstructure-based finite element model

Manchiraju

Anderson

2010

International Journal of Plasticity

131

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Section: Numerical Implementation Of the Constitutive Relationmentioning

confidence: 99%

Coupling between martensitic phase transformations and plasticity: A microstructure-based finite element model

Manchiraju

Anderson

2010

International Journal of Plasticity

131

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“…One can establish a constant C in terms of quantities at a fixed temperature. For T = T c , (26) simplifies to…”

Section: Domain Wall Pinningmentioning

confidence: 99%

“…In each case, we performed a fit to refine the parameter values obtained from properties of the data. The single-crystal data from [26] corresponds to tensile experiments on NiTi of 50.8at.% Ti composition with a [211] orientation. To minimize the effects of material aging, a stabilized hysteresis loop was obtained after 16 cycles at 295 K. The measured transformation temperatures M s = 231 K and M f = 214 K , and, with S = 4457 MPa and ε T = 0.02, we takek = 20 MJ / m 3 to obtain initial estimates of the remaining model parameters.…”

Section: Model Validationmentioning

confidence: 99%

“…ε T Strain-width of the transition region. Figure 6: (a) Data from [26] for single-crystal NiTi, and (b) polycrystalline NiTi data from [9]. Each were measured at room temperature (295 K).…”

Section: Model Validationmentioning

confidence: 99%

“…Coefficients a 4 , a 6 , a 8 , and a 10 have units of MPa . Figure 7: Hysteresis of (a) single-crystal NiTi data from [26], and (b) polycrystalline NiTi data from [9] measured at room temperature (295 K). Model predictions (m = 5) with parameters refined through least squares fit.…”

Section: Data Setmentioning

confidence: 99%

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A Domain Wall Model for Hysteresis in Ferroelastic Materials

Massad

Smith

2003

Journal of Intelligent Material Systems and Structures

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We develop a model that quantifies constitutive nonlinearities and hysteresis inherent to ferroelastic compounds, with emphasis placed on shape memory alloys. We formulate the model in two steps. First, we use the Landau theory of phase transitions to characterize the effective Gibbs free energy for both single-crystal and polycrystalline ferroelastics. The resulting nonlinear equations model equilibrium material behavior in the absence of impurities. Second, we incorporate pinning losses to account for the energy required to move domain walls across material inclusions. The full model is analogous to those developed by Jiles and Atherton for ferromagnetic compounds and Smith and Hom for ferroelectric materials. We illustrate aspects of the model through numerical simulations and comparisons with experimental stress-strain data.Keywords: Ferroelastic hysteresis; shape memory alloy; domain wall theory; ferroelastic domain; superelasticity; Landau theory of phase transitions;anyhysteretic strain; domain wall pinning; pinning sites. Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.

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