Variational approach to subgrain formation
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Radan Sedláček
and
Jan Kratochvil
Abstract
A variational formulation of the incrementally-linear rigid-plastic approximation to crystal plasticity is set up. A crystal deformed in plane strain by symmetric double slip is considered as an example. It is shown under which conditions an inhomogeneous deformation leading to subgrain formation is energetically more favorable than the homogeneous one.
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The authors are grateful for the financial support by grants DFG We 2351/8-1 (RS) and GAČR 106/03/0826 and VZ-MŠMT 6840770003 (JK).
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© 2005 Carl Hanser Verlag, München
Articles in the same Issue
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- Editorial
- Editorial
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- A unified microstructural metal plasticity model applied in testing, processing, and forming of aluminium alloys
- Implications of non-negligible microstructural variations during steady-state deformation
- Tertiary creep of metals and alloys
- Interactions between particles and low-angle dislocation boundaries during high-temperature deformation
- Strain-rate sensitivity of ultrafine-grained materials
- Transient plastic flow at nominally fixed structure due to load redistribution
- Vacancy concentrations determined from the diffuse background scattering of X-rays in plastically deformed copper
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- About stress reduction experiments during constant strain-rate deformation tests
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- On the improvement of the ductility of molybdenum by spinel (MgAl2O4) particles
- Hot workability and extrusion modelling of magnesium alloys
- Characterization of hot-deformation behaviour of Zircaloy-2: a comparison between kinetic analysis and processing maps
- Requirements for microstructural investigations of steels used in modern power plants
- Influence of Lüders band formation on the cyclic creep behaviour of a low-carbon steel for piping applications
- Creep and creep rupture behaviour of 650 °C ferritic/martensitic super heat resistant steels
- Toughening mechanisms of a Ti-based nanostructured composite containing ductile dendrites
- Notifications/Mitteilungen
- Personal/Personelles
- News/Aktuelles
- Conferences/Konferenzen
Articles in the same Issue
- Frontmatter
- Editorial
- Editorial
- Articles Basic
- Identifying creep mechanisms in plastic flow
- A unified microstructural metal plasticity model applied in testing, processing, and forming of aluminium alloys
- Implications of non-negligible microstructural variations during steady-state deformation
- Tertiary creep of metals and alloys
- Interactions between particles and low-angle dislocation boundaries during high-temperature deformation
- Strain-rate sensitivity of ultrafine-grained materials
- Transient plastic flow at nominally fixed structure due to load redistribution
- Vacancy concentrations determined from the diffuse background scattering of X-rays in plastically deformed copper
- Effect of heating rate in α + γ dual-phase field on lamellar microstructure and creep resistance of a TiAl alloy
- About stress reduction experiments during constant strain-rate deformation tests
- Finite-element modelling of anisotropic single-crystal superalloy creep deformation based on dislocation densities of individual slip systems
- Variational approach to subgrain formation
- Articles Applied
- Pseudoelastic cycling of ultra-fine-grained NiTi shape-memory wires
- Creep properties at 125 °C of an AM50 Mg alloy modified by Si additions
- Dependence of mechanical strength on grain structure in the γ′ and oxide dispersions-trengthened nickelbase superalloy PM 3030
- On the improvement of the ductility of molybdenum by spinel (MgAl2O4) particles
- Hot workability and extrusion modelling of magnesium alloys
- Characterization of hot-deformation behaviour of Zircaloy-2: a comparison between kinetic analysis and processing maps
- Requirements for microstructural investigations of steels used in modern power plants
- Influence of Lüders band formation on the cyclic creep behaviour of a low-carbon steel for piping applications
- Creep and creep rupture behaviour of 650 °C ferritic/martensitic super heat resistant steels
- Toughening mechanisms of a Ti-based nanostructured composite containing ductile dendrites
- Notifications/Mitteilungen
- Personal/Personelles
- News/Aktuelles
- Conferences/Konferenzen
