Large plastic deformation of crystalline aggregates. CISM course, Udine, Italy, July 15--19, 1996
type: Item
instance of: scholarly article
title: Large plastic deformation of crystalline aggregates. CISM course, Udine, Italy, July 15--19, 1996
zbMATH Open document ID: 0898.73004
published in: CISM International Centre for Mechanical Sciences. Courses and Lectures
publication date: 1998-03-12T00:00:00Z
review text: [The articles of this volume will not be indexed individually.] This book presents in a nicely written text of lectures delivered at a CISM session organized in Udine, Italy (1996) by the editor C. Teodosiu. In a rather concise form it succeeds to present various and rich facets of the modelling of plastic deformations in crystalline aggregates, in contrast, or complement, to the finite-strain theory of single crystals. The presentation develops in a logical way from experimental aspects to numerical simulations. The first contribution by \textit{H. P. Stüwe} (Leoben, Austria) gives in a few pages the main experimental observations concerning crystal plasticity, that is, the notions of glide, dislocations, cold and hot workings, and rate sensitivity. The second, and central contribution by \textit{C. Teodosiu} (University of Paris-Nord, France) is devoted to the dislocation modelling in crystalline plasticity. The author, a well-known contributor to the field, has largely contributed to bridging the gap between the dislocation level of description and the phenomenological thermomechanics of finite strains. He delivers here a masterly exposition which helps one to relate the microdynamics of viscoplastic flows and the engineering approach (viscoplastic potential and dislocation-based hardening laws). This is made more concrete by an illustration of the finite element simulation of the plastic deformation of multicrystals and by its comparison to experimental evidence. The author rightly emphasizes forthcoming studies on the role played by the texture and the needed modelling of interaction between texture and microstructural evolution. \textit{C. Stolz} (Ecole Politechnique, Paris, France), in a dense and clearly written contribution, exposes the general technique (homogenization) of passing from micro- to macro-quantities in the plastic case. This follows the tradition set forth by R. Hill and J. Mandel and the more recent works of P. Suquet. This is achieved in bot…
Mathematics Subject Classification ID: 74-06
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 74C15
Mathematics Subject Classification ID: 74C20
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 1128596
zbMATH Keywords: Udine (Italy)
zbMATH Keywords: Lecture
zbMATH Keywords: Course
zbMATH Keywords: Large plastic deformations
zbMATH Keywords: Crystalline aggregates
zbMATH Keywords: viscoplastic potential
zbMATH Keywords: homogenization
zbMATH Keywords: evolution of crystallographic structure
zbMATH Keywords: glide
zbMATH Keywords: dislocations
zbMATH Keywords: cold and hot workings
zbMATH Keywords: rate sensitivity
zbMATH Keywords: phenomenological thermomechanics
zbMATH Keywords: microdynamics of viscoplastic flows
zbMATH Keywords: dislocation-based hardening laws
zbMATH Keywords: finite element simulation
zbMATH Keywords: plastic deformation of multicrystals
zbMATH Keywords: texture
zbMATH Keywords: evolution law
zbMATH Keywords: rate boundary value problem
zbMATH Keywords: f.c.c. crystals
zbMATH Keywords: averaging scheme
zbMATH Keywords: self-consistent modelling
zbMATH Keywords: grain-matrix interaction law
zbMATH Keywords: morphology of grains
zbMATH Keywords: ellipsoidal heterogeneity
zbMATH Keywords: Eshelby's problem
zbMATH Keywords: crystallographic slip
zbMATH Keywords: average response of crystals
zbMATH Keywords: distributions of crystal orientations
zbMATH Keywords: hexagonal close-packed metals
reviewed by: Gérard A. Maugin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1128596