Abstract
The theory of mechanism-based strain gradient (MSG) plasticity is used to study plastic flow localization in ductile materials. Unlike classical plasticity, the thickness of the shear band in MSG plasticity can be determined analytically from a bifurcation analysis, and the shear band thickness is directly proportional to the intrinsic material length, (μ/σY)2b associated with strain gradients, where μ is the shear modulus, σY is the yield stress, and b is the Burgers vector. The shear band thickness also depends on the softening behavior of the material. The analytical solution of the shear strain rate yields that the maximum shear strain rate inside the shear band is two orders of magnitude higher than that outside, which is a clear indication of plastic flow localization. The limitation of the present model is also discussed.
Original language | English (US) |
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Pages (from-to) | 2115-2131 |
Number of pages | 17 |
Journal | International Journal of Mechanical Sciences |
Volume | 42 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2000 |
Funding
The work of Y.H. is supported by the NSF through Grant CMS-9896285 and by the NSF of China. The work of K.C.H is supported by the NSF of China.
ASJC Scopus subject areas
- Civil and Structural Engineering
- General Materials Science
- Condensed Matter Physics
- Aerospace Engineering
- Ocean Engineering
- Mechanics of Materials
- Mechanical Engineering
- Applied Mathematics