The primary instability in homogeneous elastic!plastic bodies with prescribed boundary displacements is studied[ In this event instability is known to arise when Hadamard|s inequality is \_rst violated\ this violation being the very condition for the localized instability to be possible in principle
A new model of localized plastic flow and failure of solids
β Scribed by L.B. Zuev; S.A. Barannikov
- Publisher
- Elsevier
- Year
- 2011
- Tongue
- English
- Weight
- 283 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1877-7058
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β¦ Synopsis
The localized plastic flow auto-waves observed for the stages of easy glide and linear work hardening in a number of metals are considered. The propagation rates were determined experimentally for the auto-waves in question with the aid of focused-image holography. The dispersion relation of quadratic form derived for localized plastic flow auto-waves and the dependencies of phase and group rates on wave number are discussed. A detailed comparison of the quantitative characteristics of phase and group waves has revealed that the two types of wave are closely related. An invariant is introduced for localized plastic flow phenomena occurring on the micro-and macro-scale levels in the deforming solid.
π SIMILAR VOLUMES
At large plastic deformations, localized instabilities in the form of narrow shear hands inevitably develop. Once such bands are formed they tend to persist and the strain inside the bands can become very large. Shear bands axe an important mechanism of large plastic deformation, and they axe also o
## Abstract When large, progressive, deformation occurs under plastic or viscoβplastic conditions, elastic deformations are negligible and the material flows in a viscous manner. The flow is nonβNewtonian and the viscosity is a function of the current strain rates. An effective numerical treatment