On finite deformation of F.C.C. crystals in (110) channel die compression
type: Item
instance of: scholarly article
title: On finite deformation of F.C.C. crystals in (110) channel die compression
zbMATH Open document ID: 0638.73009
DOI: 10.1016/0022-5096(88)90013-0
author: D. Chidambarrao
author: Kerry S. Havner
published in: Journal of the Mechanics and Physics of Solids
publication date: 1988-01-01T00:00:00Z
review text: The characteristic behavior of f.c.c. crystals in the (110) channel die compression test is loading-axis stability. The lattice either rotates about the (110) loading direction or is stable relative to the channel axes, dependent upon constraint direction and active slip systems. Herein we establish a general theoretical basis for the initial finite deformation behavior that encompasses the full range of crystal orientations under (110) loading. We also make detailed analyses of crystal shearing, lattice rotation, slip-systems hardening, and constraint stress for orientations near a nominal (110) \((1{\bar 1}{\bar 2})\) \(({\bar 1}1{\bar 1})\) experimental orientation, based upon three specific hardening theories, and make comparisons with the experimental data to a compressive strain of one.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 4041376
zbMATH Keywords: f.c.c. crystals
zbMATH Keywords: (110) channel die compression
zbMATH Keywords: loading-axis stability
zbMATH Keywords: initial finite deformation behavior
zbMATH Keywords: crystal orientations
zbMATH Keywords: shearing
zbMATH Keywords: lattice rotation
zbMATH Keywords: slip-systems hardening
zbMATH Keywords: constraint stress
MaRDI profile type: Publication
full work available at URL: 0022-5096(88)90013-0
OpenAlex ID: W2042863016
cites work: Q3927181
cites work: Theoretical latent hardening in crystals - I. General equations for tension and compression with application to F. C. C. Crystals in tension
cites work: Analysis of a family of unstable lattice orientations in (110) channel die compression
cites work: A simple mathematical theory of finite distortional latent hardening in single crystals
cites work: Theoretical analysis of the channel die compression test. II: First- and second-order analysis of orientation \([110][00{\bar 1}][{\bar 1}10]\) in f.c.c. crystals
cites work: Perspectives in the mechanics of elastoplastic crystals
cites work: Q3243972
cites work: Theoretical analysis of the channel die compression test. I. General considerations and finite deformation of f.c.c. crystals in stable lattice orientations
description: scientific article; zbMATH DE number 4041376