Analysis of a family of unstable lattice orientations in (110) channel die compression

DOI10.1007/BF01175724zbMath0629.73032MaRDI QIDQ1094188

D. Chidambarrao, Havner, Kerry S.

Publication date: 1987

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

finite strainhardening ruleschannel die constraint directioncritical slip-system inequalitiesf.c.c. crystal orientationsfinite rotation of the latticekinematically unstableloading direction

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Statistical mechanics of crystals (82D25) Plastic materials, materials of stress-rate and internal-variable type (74C99) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (7)

On finite deformation of F.C.C. crystals in (110) channel die compression ⋮ A `stack' model of rate-independent polycrystals ⋮ Perspectives on (1 1 0) channel die compression and analysis of the Goss orientation ⋮ Further investigation of crystal hardening inequalities in (110) channel die compression ⋮ Investigation of basic crystal hardening inequalities in a range of stable lattice orientations in \((110)\) channel die compression ⋮ Numerical studies of nonuniform deformation, stress state evolution, and subgrain formation in bicrystals in (110) channel die compression ⋮ On symmetric bicrystals at the yield point in (110) channel die compression

Cites Work

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• Theoretical analysis of the channel die compression test. I. General considerations and finite deformation of f.c.c. crystals in stable lattice orientations
• 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]
• On uniqueness of multiple-slip solutions in constrained and unconstrained f.c.c. crystal deformation problems
• Theoretical latent hardening in crystals. - II. bcc crystals in tension and compression
• Theoretical latent hardening in crystals. III. f.c.c. crystals in compression
• Perspectives in the mechanics of elastoplastic crystals
• Theoretical latent hardening in crystals - I. General equations for tension and compression with application to F. C. C. Crystals in tension
• First- and second- order analysis of axially loaded crystals in n-fold symmetry
• A theoretical analysis of finitely deforming f.c.c. crystals in the sixfold symmetry position
• A simple mathematical theory of finite distortional latent hardening in single crystals
• Further Investigation of a New Hardening Law in Crystal Plasticity

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