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Deformation of a Body Due to Shear Banding – Theoretical Foundations
The dominant orientation of the crystalline lattice in the representative volume element (RVE) is represented by the triad of director vectors. The first formal introduction of the multiplicative decomposition of the deformation gradient in finite plasticity realised independently that a body in plastic deformation could be relaxing in a stress‐free intermediate configuration. Due to constraint hardening, the incremental inelastic flow under constant overall load is still precluded. This approach can apply to the microscopic fields of stress and strain within the RVE. The micro‐shear bands result from the particular configuration of internal micro‐stresses that accumulate at grain boundaries until the grain hardening on the active slip systems is suspended and then abruptly released. The ‘extremal surface’ forms the generic micro‐shear banding surface that we call the instantaneous envelope of plastic states produced by shear banding.
Deformation of a Body Due to Shear Banding – Theoretical Foundations
The dominant orientation of the crystalline lattice in the representative volume element (RVE) is represented by the triad of director vectors. The first formal introduction of the multiplicative decomposition of the deformation gradient in finite plasticity realised independently that a body in plastic deformation could be relaxing in a stress‐free intermediate configuration. Due to constraint hardening, the incremental inelastic flow under constant overall load is still precluded. This approach can apply to the microscopic fields of stress and strain within the RVE. The micro‐shear bands result from the particular configuration of internal micro‐stresses that accumulate at grain boundaries until the grain hardening on the active slip systems is suspended and then abruptly released. The ‘extremal surface’ forms the generic micro‐shear banding surface that we call the instantaneous envelope of plastic states produced by shear banding.
Deformation of a Body Due to Shear Banding – Theoretical Foundations
Pęcherski, Ryszard B. (author)
2022-07-18
12 pages
Article/Chapter (Book)
Electronic Resource
English
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