Seminar by Professor Lev Truskinovsky: Quantized plastic deformation

At 3:00 p.m., September 19, 2025, IAST organized an academic exchange at the Meeting Room on the 5th Floor of the Library - Ton Duc Thang University with detailed content as follows:

Prof. Lev Truskinovsky reports on the topic "Quantized plastic deformation"
Abstract:

In this talk we present the basics of the novel mesoscopic tensorial model of crystal plasticity, which operates with the macroscopic notions of stress and strain while capturing, in a geometrically exact way, the slip-generating mappings of crystal lattices onto themselves. The model introduces a matrix-valued spin variable, representing the quantized plastic distortion, whose rate-independent evolution can be described by a discrete automaton. We provide compelling evidence that the new theory is fully adequate to deal with the intermittency of plastic response under quasi-static loading. In particular, our numerical experiments show that the statistics of dislocational avalanches, associated with plastic yield in 2D square crystals, exhibit a power-law tail with a critical exponent matching the value predicted by general theoretical considerations and also independently observed in discrete-dislocation-dynamics simulations.