scholarly journals Fluctuations in crystalline plasticity

2021 ◽  
Vol 22 (S3) ◽  
pp. 1-37
Author(s):  
Jérôme Weiss ◽  
Peng Zhang ◽  
Oğuz Umut Salman ◽  
Gang Liu ◽  
Lev Truskinovsky

1993 ◽  
Vol 60 (1) ◽  
pp. 70-76 ◽  
Author(s):  
A. Needleman ◽  
V. Tvergaard

In a numerical micromechanical study of the tensile properties of a metal reinforced by short whiskers, the elastic-plastic deformations of the metal are described in terms of crystalline plasticity, using a planar crystal model that allows for either two or three slip systems. Plane strain analyses are carried out for a periodic array of aligned whiskers for whisker volume fractions of 10 percent to 30 percent, and comparison is made with predictions based on a corresponding flow theory of plasticity with isotropic hardening. The predicted trend for composite strengthening with whisker volume fraction is the same for the various matrix material constitutive characterizations. It is found that the crystal model can give rise to shear localization, initiating at the sharp whisker edges. As a consequence of this localization, the stress carrying capacity eventually drops.



2011 ◽  
Vol 360 (1) ◽  
pp. 129-149 ◽  
Author(s):  
Sara Wassmann ◽  
Bernhard Stöckhert ◽  
Claudia A. Trepmann


Author(s):  
NAOKI KAJIWARA ◽  
KAZUHIRO IMIYA ◽  
TADASHI HASEBE

The present study proposes a constitutive model for deformation twinning which takes into account the twin degrees of freedom via incompatibility tensor model based on Field Theory of Multiscale Plasticity (FTMP). The model is introduced in the hardening law in the FTMP-based crystalline plasticity framework, which is further implemented into a finite element code. Deformation analyses are made for pure single crystal magnesium with HCP structure, and the descriptive capabilities of the proposed model are confirmed based on critical comparisons with experimental data under plain–strain compression in multiple orientations, available in the literature. The simulated results are demonstrated to successfully reproduce the unique stress–strain responses induced by twinning. The evolution of the relative activities of the various slips, and twin mechanisms for each orientation are extensively examined.



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.







2013 ◽  
Vol 54 (625) ◽  
pp. 132-136
Author(s):  
Hideo MORIMOTO ◽  
Hidetoshi SAKAMOTO ◽  
Hiroyuki KURAMAE ◽  
Eiji NAKAMACHI


2003 ◽  
Vol 2003.78 (0) ◽  
pp. _5-47_-_5-48_
Author(s):  
Naofumi Yokoyama ◽  
Y. P. Chen ◽  
Eiji Nakamachi ◽  
Hideo Morimoto


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