Microstructure in plasticity without nonconvexity - Archive ouverte HAL Access content directly
Journal Articles Computational Mechanics Year : 2016

Microstructure in plasticity without nonconvexity

Abstract

A simplified one dimensional rate dependent model for the evolution of plastic distortion is obtained from a three dimensional mechanically rigorous model of mesoscale field dislocation mechanics. Computational solutions of variants of this minimal model are investigated to explore the ingredients necessary for the development of microstructure. In contrast to prevalent notions, it is shown that microstructure can be obtained even in the absence of non-monotone equations of state. In this model, incorporation of wave propagative dislocation transport is vital for the modeling of spatial patterning. One variant gives an impression of producing stochastic behavior, despite being a completely deterministic model. The computations focus primarily on demanding macroscopic limit situations, where a convergence study reveals that the model-variant including non-monotone equations of state cannot serve as effective equations in the macroscopic limit; the variant without non-monotone ingredients, in all likelihood, can.
Fichier principal
Vignette du fichier
das_acharya_suquet_micro_wo_nonconvex.pdf (2.77 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01247613 , version 1 (22-12-2015)

Identifiers

Cite

Amit Das, Amit Acharya, Pierre Suquet. Microstructure in plasticity without nonconvexity. Computational Mechanics, 2016, 57, pp.387-403. ⟨10.1007/s00466-015-1249-8⟩. ⟨hal-01247613⟩
189 View
152 Download

Altmetric

Share

Gmail Facebook X LinkedIn More