Dislocation dynamics in anisotropic thermoelastic-piezoelectric crystals

Author(s):  
Sitiro Minagawa
1987 ◽  
Vol 56 (3) ◽  
pp. 343-352 ◽  
Author(s):  
Sitiro Minagawa ◽  
Kazuhito Shintani

1985 ◽  
Vol 51 (2) ◽  
pp. 277-285 ◽  
Author(s):  
Sitiro Minagawa ◽  
Kazuhito Shintani

Author(s):  
A. Hammad ◽  
T. D. Swinburne ◽  
H. Hasan ◽  
S. Del Rosso ◽  
L. Iannucci ◽  
...  

Solitons are proposed as the agents of plastic and viscoelastic deformation in aligned polyethylene. Interactions between straight, parallel molecules are mapped rigorously onto the Frenkel–Kontorova model. It is shown that these molecular interactions distribute an applied load between molecules, with a characteristic transfer length equal to the soliton width. Load transfer leads to the introduction of tensile and compressive solitons at the chain ends to mark the onset of plasticity at a well-defined yield stress, which is much less than the theoretical pull-out stress. Interaction energies between solitons and an equation of motion for solitons are derived. The equation of motion is based on Langevin dynamics and the fluctuation–dissipation theorem and it leads to the rigorous definition of an effective mass for solitons. It forms the basis of a soliton dynamics in direct analogy to dislocation dynamics. Close parallels are drawn between solitons in aligned polymers and dislocations in crystals, including the configurational force on a soliton. The origins of the strain rate and temperature dependencies of the viscoelastic behaviour are discussed in terms of the formation energy of solitons. A failure mechanism is proposed involving soliton condensation under a tensile load.


2021 ◽  
Vol 151 ◽  
pp. 104375
Author(s):  
R. Santos-Güemes ◽  
L. Capolungo ◽  
J. Segurado ◽  
J. LLorca

1984 ◽  
Vol 30 (6) ◽  
pp. 3470-3481 ◽  
Author(s):  
G. L. Koos ◽  
J. P. Wolfe

2019 ◽  
Vol 3 (7) ◽  
Author(s):  
Yang Li ◽  
Max Boleininger ◽  
Christian Robertson ◽  
Laurent Dupuy ◽  
Sergei L. Dudarev

1995 ◽  
Vol 60 (5) ◽  
pp. 497-503 ◽  
Author(s):  
M. Zaiser ◽  
W. Frank

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