Strain intermittency in shape-memory alloys

Balandraud, Xavier; Barrera, Noemi; Biscari, Paolo; Grédiac, Michel; Zanzotto, Giovanni

doi:10.1103/physrevb.91.174111

Cited by 34 publications

(25 citation statements)

References 64 publications

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“…[17] and [18] for AE during thermally induced transformations and to the results of Ref. [27] obtained during strain field induced cubic/monoclinic transition in strain intermittency of CuAlBe single crystals.…”

Section: B Critical Exponentsmentioning

confidence: 58%

Simultaneous investigation of thermal, acoustic, and magnetic emission during martensitic transformation in single-crystallineNi2MnGa

et al. 2016

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Simultaneous thermal, acoustic, and magnetic emission (AE and ME) measurements during thermally induced martensitic transformation in Ni 2 MnGa single crystals demonstrate that all three types of the above noises display many coincident peaks and the same start and finish temperatures. The amplitude and energy distribution functions for AE and ME avalanches satisfy power-law behavior, corresponding to the symmetry of the martensite. At zero external magnetic field asymmetry in the exponents was obtained: their value was larger for heating than for cooling. Application of constant, external magnetic fields (up to B = 722 mT) leads to the disappearance of the above asymmetry, due to the decrease of the multiplicity of the martensite variants. Time correlations (i.e., the existence of nonhomogeneous temporal processes) within AE as well as ME emission events are demonstrated by deviations from the uncorrelated behavior on probability distributions of waiting times as well as of a sequence of number of events. It is shown that the above functions collapse on universal master curves for cooling and heating as well as for AE and ME noises. The analysis of the existence of temporal correlations between AE and ME events revealed that at short times the acoustic signals show a time delay relative to the magnetic one, due to the time necessary for the propagation of the ultrasound. At intermediate times, as expected, the magnetic signal is delayed, i.e., the magnetic domain rearrangement followed the steps of structural transformation. At much longer times the deviation from an uncorrelated (Poisson-type) behavior is attributed to the nonhomogeneity of the avalanche statistics.

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Section: B Critical Exponentsmentioning

confidence: 58%

Simultaneous investigation of thermal, acoustic, and magnetic emission during martensitic transformation in single-crystallineNi2MnGa

et al. 2016

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“…shape memory alloys, in applications [14,15]. The study of intermittency in such systems is important because the rearrangements of microstructural morphologies associated with avalanches [16] can perilously interfere with material and structural response at sub-micron scale preventing reliable control of the pseudo-plastic deformation [17][18][19].…”

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confidence: 99%

Origin of scale-free intermittency in structural first-order phase transitions

et al. 2016

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A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence of a classical critical point but the mechanism leading to criticality without extrinsic tuning remains unexplained. Here we show that the source of scaling in such systems is an annealed disorder associated with transformationinduced slip which co-evolves with the phase transformation, thus ensuring the crossing of a critical manifold. Our conclusions are based on a model where annealed disorder emerges in the form of a random field induced by the phase transition. Such disorder leads to super-transient chaotic behavior under thermal loading, obeys a heavy-tailed distribution and exhibits long-range spatial correlations. We show that the universality class is affected by the long-range character of elastic interactions. In contrast, it is not influenced by the heavy-tailed distribution and spatial correlations of disorder.The ubiquitous presence of scale-free avalanche behavior during structural transformations in crystals [1][2][3][4] is in an apparent contradiction with the first-order nature of the underlying phase transitions. This question has attracted considerable attention [5-13] not only due to its theoretical interest, but also because of the widespread use of transforming materials, e.g. shape memory alloys, in applications [14,15]. The study of intermittency in such systems is important because the rearrangements of microstructural morphologies associated with avalanches [16] can perilously interfere with material and structural response at sub-micron scale preventing reliable control of the pseudo-plastic deformation [17][18][19].Avalanche dynamics with power-law statistics [20, 21] is an inherent feature of a broad variety of natural systems from neural networks [22] and animal herds [23] to tectonic faults [24] and stellar flares [25]. To explain the mechanism responsible for scale-free regimes in such systems, a number of general paradigms have been proposed, including implicit external tuning [26,27], the involvement of nonlocal restoring fields [28,29], the inherent complexity of the quenched energy landscapes [30], and the multiplicative structure of the endogenous noise [31].Controversy surrounds, in particular, the scale-free intermittent response of solid materials undergoing firstorder phase transitions. Various proposed mechanisms of scaling in such systems which do not require external tuning to a critical point range from depinning, as in the case of disordered ferromagnets [29], to inertia-induced nucleation [7] reminiscent of turbulence. A radically different perspective would be that a classical critical point [32] is involved, however, this scenario in athermal systems requires a particular degree of quenched disorder [33][34][35][36]. * fperez-reche@abdn.ac.ukThe ubiquity of scaling would then mean that either the critical region is sufficiently wide to be routinely crossed in the course of periodic driving [26,37...

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“…such as shape-memory alloys [52,5], is a main advantage of our method based on an exact, 3D multiplicative evolution law (6) for the plastic strain. The above results on the dependence of the plasticity exponents on the specific wells involved in the flow, and thus, on the specific symmetry of the crystal and the specific loading imposed to the material, may be juxtaposed the analogous effects occurring in the martensitic transformations of crystalline materials such as shapememory alloys.…”

Section: Resultsmentioning

confidence: 99%

Intermittency in Crystal Plasticity Informed by Lattice Symmetry

Biscari

Urbano

Zanzottera

et al. 2015

J Elast

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We develop a nonlinear, three-dimensional phase field model for crystal plasticity which accounts for the infinite and discrete symmetry group G of the underlying periodic lattice. This generates a complex energy landscape with countably-many G-related wells in strain space, whereon the material evolves by energy minimization under the loading through spontaneous slip processes inducing the creation and motion of dislocations without the need of auxiliary hypotheses. Multiple slips may be activated simultaneously, in domains separated by a priori unknown free boundaries. The wells visited by the strain at each position and time, are tracked by the evolution of a G-valued discrete plastic map, whose non-compatible discontinuities identify lattice dislocations. The main effects in the plasticity of crystalline materials at microscopic scales emerge in this framework, including the long-range elastic fields of possibly interacting dislocations, lattice friction, hardening, band-like vs. complex spatial distributions of dislocations. The main results concern the scale-free intermittency of the flow, with power-law exponents for the slip avalanche statistics which are significantly affected by the symmetry and the compatibility properties of the activated fundamental shears.

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Strain intermittency in shape-memory alloys

Cited by 34 publications

References 64 publications

Simultaneous investigation of thermal, acoustic, and magnetic emission during martensitic transformation in single-crystallineNi2MnGa

Simultaneous investigation of thermal, acoustic, and magnetic emission during martensitic transformation in single-crystallineNi2MnGa

Origin of scale-free intermittency in structural first-order phase transitions

Intermittency in Crystal Plasticity Informed by Lattice Symmetry

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