Effects of external pressure on phase transformation of shape memory alloy cylinder

Liu, Bingfei; Du, Chunzhi

doi:10.1016/j.ijmecsci.2014.06.013

Cited by 7 publications

(6 citation statements)

References 27 publications

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“…SMA couplers developed at CERN have ring radius ratio in the range 1.1-1.4. This range covers also most of SMA couplers studied in literature (Duerig et al, 1990;Liu and Du, 2014;Liu et al, 2013;Mirzaeifar et al, 2011;Niccoli et al, 2017bNiccoli et al, , 2019Piotrowski et al, 2012;Scalet et al, 2019;Tabesh et al, 2018;Videnic et al, 2008) and Radi (2018), and those commercially available. The chart in Figure 2(a) is a log-log plot of e eo (e ei ) for different values of the ring radius ratio (r e =r i ).…”

Section: Load Cases and Boundary Conditionsmentioning

confidence: 97%

“…Some interesting studies have been carried out recently to better investigate the SMA ring thermal recovery mechanism (Piotrowski et al, 2012; Tabesh et al, 2018; Videnic et al, 2008) and the axisymmetric loading of SMA thick-walled cylinders operating in elastic and/or transformation regime (Liu and Du, 2014; Liu et al, 2013; Mirzaeifar et al, 2011; Radi, 2018). In particular, numerical (Piotrowski et al, 2012), semi-analytical (Mirzaeifar et al, 2011), and analytical (Liu and Du, 2014; Liu et al, 2013; Radi, 2018; Tabesh et al, 2018; Videnic et al, 2008) studies were performed simulating the response of thick-walled SMA superelastic cylinders subject to internal pressure, under plane stress or plane strain conditions. Some other analytical approaches were proposed lately to study different SMA structures such as beams (Ostadrahimi and Taheri-Behrooz, 2019; Radi, 2021) and springs (Spaggiari et al,2015; Zaki and Viet, 2018) but no studies took into account conventional plastic phenomena occurring when severe deformations are induced.…”

Section: Introductionmentioning

confidence: 99%

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A simplified analytical model to simulate martensite reorientation and plasticity in shape memory alloy ring couplers

Niccoli

Giovinco

Garion

et al. 2021

Journal of Intelligent Material Systems and Structures

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Recent studies on Shape Memory Alloy rings have been undertaken at the European Organization for Nuclear Research (CERN) to develop smart and leak-tight couplers for Ultra High Vacuum systems of particle accelerators. A special thermo-mechanical process (training) is needed to provide SMA rings with proper functional properties, that is to allow thermal mounting, dismounting, and leak tight coupling within a given service temperature window. Low temperature ring expansion is a crucial part of the training process as it gives suitable size, shape recovery properties, and thermal stability range to the SMA element. An analytical model, based on simplified elastic-plastic axisymmetric concepts, has been developed and implemented in a commercial software to simulate isothermal SMA rings expansions. It is particularly useful to predict the final size of a martensitic SMA coupler as a function of the initial dimensions and of the pre-deformation parameters. The effectiveness of the model has been demonstrated by analyzing the stress/deformation field occurring in a wide range of ring geometries for different load cases including martensite reorientation and plasticity. The predictions of the analytical model have been systematically compared with those obtained by axisymmetric finite element (FE) analyses based on elastic-plastic constitutive models and experimental measurements.

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Section: Load Cases and Boundary Conditionsmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

A simplified analytical model to simulate martensite reorientation and plasticity in shape memory alloy ring couplers

Niccoli

Giovinco

Garion

et al. 2021

Journal of Intelligent Material Systems and Structures

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“…For the two-region solutions, the limit case is that some point on the middle surface Z = 0.5 is on phase interface α = 1. More precisely, the center point of the middle surface first satisfies α = 1, when γ * = γ * c in (34), while other points do not. For the threeregion solutions, the limit case is that the MR disappears, i.e.…”

Section: Connecting Solutionsmentioning

confidence: 99%

“…However, the high-dimensional effect and strain softening behaviour are crucial to capturing the stress drop and determining the width of PTR during phase transition, therefore it is desirable to take these into account. Under 3D frameworks, some analytical results [34] are obtained for thick-walled cylinder subjected to external pressure, but with Tresca transformation criterion and linear hardening. For an infinitely-long cylinder, some analytical works [35,36] treat the martensite band as inclusion in a 3D inclusion-matrix system with planar sharp interfaces, capturing some important features such as peak and propagation stresses.…”

Section: Introductionmentioning

confidence: 99%

Analytical study on phase transition of shape memory alloy wire under uniaxial tension

Song

2019

Preprint

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This paper considers the stress-induced phase transitions of shape memory alloy slender cylinder, and analytically studies the phase transition process and the associated instability. A three-dimensional (3D) phenomenological model with an internal variable is adopted, which is simplified to a 1D system of two strains in three regions (austenite, martensite and phase transition regions). Suitable boundary conditions and interface conditions are proposed. Theoretically, it is a free boundary problem, as the position and shape of phase interfaces are unknown. We then focus on planar interfaces (which are energetically favored), and a symmetric case when phase transition occurs in the middle. For given applied stress, two-region solutions, three-region solutions and the connecting solutions between them are obtained analytically or semi-analytically, including many period-k solutions.Two-region solutions show that phase transition does not take place at one point, but simultaneously in a small region. The width of phase transition region is found analytically, revealing the roles of the material and geometrical parameters. Three-region solutions represent localized inhomogeneous deformations in experiments, and capture that the stress stays almost at the Maxwell stress during propagation of transformation front. For displacement-controlled process, the transition process is demonstrated by the stress-strain curve, which captures the stress drop/rise and the transition from homogeneous deformations to period-1 localized inhomogeneous deformations. When the radius is smaller than a critical value (given by material constants), the stress drop is very sharp due to transition of solutions in a snap-back bifurcation. These features show good agreement with

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“…Liu et al (2013) also performed a similar investigation by considering the effects of a radial temperature gradient. Later, Liu and Du (2014) provided the analytical solution to the problem of isothermal loading of a pseudoelastic SMA cylinder under external pressure. In these analyses the tangential stress is assumed to be always positive, as indeed it occurs during loading and pseudoelastic unloading if the wall thickness is sufficiently thin.…”

Section: Introductionmentioning

confidence: 99%

Evolution of multiple Martensite variants in a SMA thick-walled cylinder loaded by internal pressure

Radi

2018

International Journal of Solids and Structures

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The stress and deformation fields in a SMA ring or a thick-walled cylinder loaded by internal pressure at constant temperature (over the start temperature of the martensitic transformation) are determined in closed form under plane stress loading conditions. The phenomenological SMA constitutive model incorporates the volume fractions of multi-variants Martensite, which are assumed to evolve linearly with the Tresca effective stress, according to the associative flow rule and the corner flow rule. Initially, the cylinder is everywhere in a state of Austenite. The application of an internal pressure then triggers the martensitic transformation starting from the inner radius of the cylinder wall and extending towards the outer radius. If the wall thickness is large enough, the tangential stress may vanish at the inner radius and correspondingly the stress state may reach a corner of the Tresca transformation condition, thus originating two different Martensite variants according to the corner transformation rule. The admissible phase partitions within the wall thickness originating during the loading process have been systematically investigated according to the ratio between the outer and inner radii. The results obtained here suggest that the loading process should be interrupted soon after the complete martensitic transformation is achieved at the inner radius of the cylinder to avoid permanent plastic deformations.

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Effects of external pressure on phase transformation of shape memory alloy cylinder

Cited by 7 publications

References 27 publications

A simplified analytical model to simulate martensite reorientation and plasticity in shape memory alloy ring couplers

A simplified analytical model to simulate martensite reorientation and plasticity in shape memory alloy ring couplers

Analytical study on phase transition of shape memory alloy wire under uniaxial tension

Evolution of multiple Martensite variants in a SMA thick-walled cylinder loaded by internal pressure

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