On rotation deformation zones for finite-strain Cosserat plasticity

Autor:	Thomas Blesgen
Rok vydání:	2015
Předmět:	Discretization Mechanical Engineering Mathematical analysis Computational Mechanics Torsion (mechanics) Plasticity Crystal plasticity Euler angles symbols.namesake Classical mechanics Finite strain theory Solid mechanics symbols Mechanical energy Mathematics
Zdroj:	Acta Mechanica. 226:2421-2434
ISSN:	1619-6937 0001-5970
DOI:	10.1007/s00707-015-1326-2
Popis:	In this article, a numerical solution method for the finite-strain rate-independent Cosserat theory of crystal plasticity is developed. Based on a time-incremental minimization problem of the mechanical energy, a limited-memory Broyden–Fletcher–Goldfarb quasi-Newton method applied to a finite-difference discretization is proposed. First benchmark tests study the convergence to an analytic solution. Further simulations focus on the investigation of rotation localization zones, the bending of a rod, and a torsion experiment.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d1b2e40751705d1f8ad9c4323b10ece0 https://doi.org/10.1007/s00707-015-1326-2 Zobrazit plný text záznamu Plný text ve formátu PDF