Small chains in a deformed network. A probe of heterogeneous deformation?

Author(s):  
F. Zielinski ◽  
M. Buzier ◽  
C. Lartigue ◽  
J. Bastide ◽  
F. Boué
2002 ◽  
Vol 124 (3) ◽  
pp. 358-364 ◽  
Author(s):  
Avraam A. Konstantinidis ◽  
Elias C. Aifantis

Wavelet analysis is used for describing heterogeneous deformation in different scales. Slip step height experimental measurements of monocrystalline alloy specimens subjected to compression are considered. The experimental data are subjected to discrete wavelet transform and the spatial distribution of deformation in different scales (resolutions) is calculated. At the finer scale the wavelet analyzed data are identical to the experimental measurements, while at the coarser scale the profile predicted by the wavelet analysis resembles the shear band solution profile provided by gradient theory in agreement with experimental observations. The different data sets provided by wavelet analysis are used to train a neural network in order to predict the spatial distribution of strain at resolutions higher than those possible by the available experimental probes. In addition, applications of wavelet analysis to interpret size effect data in torsion and bending at the micron scale are examined by deriving scale-dependent constitutive equations which are used for this purpose.


2018 ◽  
Vol 45 (1) ◽  
pp. 111-127 ◽  
Author(s):  
Eva Vernet ◽  
Antonio M. Casas-Sainz ◽  
Teresa Román-Berdiel ◽  
Marcos Marcén ◽  
M. Cinta Osácar

2021 ◽  
pp. 86-102
Author(s):  
Jean-Luc Bouchez ◽  
Adolphe Nicolas

The fundamentals of structural geology are presented, namely, folds, planar structures (cleavage or schistosity, foliation) and linear ones (lineations), regarded as emblematic for geologists. Ductile imprints of folds, affecting stratified formations, combined with brittle imprints, often remain modest in terms of strain intensity. Folding is essentially inhomogeneous and often results from the buckling (bending) of the layers (or stratification) as a consequence of layer parallel compression. Folded structures are frequently accompanied by fractures. Hence they may be classified as brittle–ductile. They are mostly encountered at low depths and constitute the upper structural level of the Earth’s crust. Ductile deformation sensu stricto appears at the lower structural level. The macroscopic aspects of ductile deformations and their implications will be examined. The principal operating mechanism, crystalline plasticity, represents the mechanical aspect of deformation, sometime assisted by chemical aspects (pressure-solution). While homogeneous deformation constitutes our principal concern, heterogeneous deformation is often present, particularly when examined at fine scales. At low shear strain (γ‎ < 0.7, or θ‎ ~35°, equivalent to ~30% shortening), plastic deformation generally leads to a planar and a linear anisotropy strengthening with increasing deformation. At higher shear strain, any pre-existing planar structure becomes so stretched that it cannot be recognized. The new structure may be purely planar, purely linear or plano-linear. Lattice fabrics, appearing in rocks subjected to plastic deformation and resulting from deformation mechanisms at the grain-scale, are examined in detail in Chapter 6.


JOM ◽  
2011 ◽  
Vol 63 (9) ◽  
pp. 66-73 ◽  
Author(s):  
Y. Yang ◽  
L. Wang ◽  
C. Zambaldi ◽  
P. Eisenlohr ◽  
R. Barabash ◽  
...  

2020 ◽  
Vol 771 ◽  
pp. 138605
Author(s):  
Partha P. Paul ◽  
Harshad M. Paranjape ◽  
Nobumichi Tamura ◽  
Yuri I. Chumlyakov ◽  
L. Catherine Brinson

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