Avalanche criticality in the martensitic transition of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mtext>Cu</mml:mtext></mml:mrow><mml:mrow><mml:mn>67.64</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mtext>Zn</mml:mtext></mml:mrow><mml:mrow><mml:mn>16.71</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mtext>Al</mml:mtext></mml:mrow><mml:mrow><mml:mn>15.65</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>shape-memory alloy: A

Gallardo, M. C.; Manchado, Julia; Romero, Francisco Sacristán; Valero, Constantino; Salje, Ekhard K. H.; Planes, Antoni; Vives, Eduard; Romero, Ricardo; Stipcich, Marcelo

doi:10.1103/physrevb.81.174102

Cited by 117 publications

(102 citation statements)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Typical examples are magnetization processes [2], martensitic transitions [3,4], plastic deformation in solids [5,6], or materials failure [7,8]. Upon variation of an external field, avalanches of the conjugated properties show a spectacular absence of time and length scales.…”

Section: Introductionmentioning

confidence: 99%

Avalanches in compressed porousSiO2-based materials

et al. 2014

Self Cite

View full text Add to dashboard Cite

The failure dynamics in SiO 2 -based porous materials under compression, namely the synthetic glass Gelsil and three natural sandstones, has been studied for slowly increasing compressive uniaxial stress with rates between 0.2 and 2.8 kPa/s. The measured collapsed dynamics is similar to Vycor, which is another synthetic porous SiO 2 glass similar to Gelsil but with a different porous mesostructure. Compression occurs by jerks of strain release and a major collapse at the failure point. The acoustic emission and shrinking of the samples during jerks are measured and analyzed. The energy of acoustic emission events, its duration, and waiting times between events show that the failure process follows avalanche criticality with power law statistics over ca. 4 decades with a power law exponent ε 1.4 for the energy distribution. This exponent is consistent with the mean-field value for the collapse of granular media. Besides the absence of length, energy, and time scales, we demonstrate the existence of aftershock correlations during the failure process.

show abstract

Section: Introductionmentioning

confidence: 99%

Avalanches in compressed porousSiO2-based materials

et al. 2014

Self Cite

View full text Add to dashboard Cite

show abstract

“…Avalanches are largely scale invariant and are described by statistical quantities. 15 Jerks were observed in heat flux measurements (thermal jerks), 17 AE (acoustic jerks) and slip avalanches in metallic glasses, [18][19][20][21][22][23][24] spikes in the polarization (electric jerks), and Barkhausen noise 2,14 (magnetic jerks). Each jerk signal is characterized by fairly random, often jagged profiles so that the question arises: is the time evolution predictable if one considers the averaged profiles?…”

mentioning

confidence: 99%

Parabolic temporal profiles of non-spanning avalanches and their importance for ferroic switching

Ding

Sun

et al. 2016

Applied Physics Letters

View full text Add to dashboard Cite

Computer simulation of a ferroelastic switching process shows avalanche formation with universal averaged temporal avalanche profiles ⟨J(t)⟩, where J(t) is the avalanche “amplitude” at time t. The profiles are derived for the three most commonly used “jerk”-singularities, namely, the total change of the potential energy U via J(t) = (dU(t)/dt)2, the energy drop J(t) = −dU/dt, and the stress drop J(t) = −dτxy/dt. The avalanches follow, within the time resolution of our modeling, a universal profile J(t)/Jmax = 1 − 4(t/tmax − 0.5)2 in the a-thermal regime and the thermal regime. Broadening of the profiles towards a 4th order parabola arises from peak overlap or peak splitting. All profiles are symmetric around t/tmax = 0.5 and are expected to hold for switching processes in ferroic materials when the correlations during the avalanche are elastic in origin. High frequency applications of ferroic switching are constrained by this avalanche noise and its characteristic temporal distribution function will determine the bandwidth of any stored or transmitted signal.

show abstract

“…Consequently, different noises (thermal, measured by DSC, 9 acoustic emission, AE, 10-12 magnetic noise 13 ) can be detected. Thus, in Ni 2 MnGa alloys magnetic field induced Barkhausennoise has been measured both in austenitic and martensitic phases.…”

mentioning

confidence: 99%

Jerky magnetic noises generated by cyclic deformation of martensite in Ni2MnGa single crystalline shape memory alloys

Daróczi

Gyöngyösi

Tóth

et al. 2015

Applied Physics Letters

View full text Add to dashboard Cite

It is shown that during periodic deformation of martensitic Ni2MnGa single crystalline alloy jerky magnetic noises are emitted. Above a threshold limit in the deformation amplitude, the noise energy per deformation cycle showed increasing tendency with increasing deformation. Energy and amplitude probability distributions of the noise were characterized by power law functions. The energy exponents were independent of the deformation amplitude in the investigated range. The decrease of the noise energy as well as power exponents with increasing magnetic field was interpreted by the decrease of the multiplicity of the martensite variants.

show abstract

Avalanche criticality in the martensitic transition ofCu67.64Zn16.71Al15.65shape-memory alloy: A

Cited by 117 publications

References 67 publications

Avalanches in compressed porousSiO2-based materials

Avalanches in compressed porousSiO2-based materials

Parabolic temporal profiles of non-spanning avalanches and their importance for ferroic switching

Jerky magnetic noises generated by cyclic deformation of martensite in Ni2MnGa single crystalline shape memory alloys

Contact Info

Product

Resources

About