Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations

2007 ◽  
Vol 55 (9) ◽  
pp. 1879-1898 ◽  
Author(s):  
Nobutada Ohno ◽  
Dai Okumura
Keyword(s):  
Grain Size ◽  
Size Effects ◽  
Higher Order ◽  
Self Energy ◽  
Order Stress ◽  
Grain Size Effects

GRAIN-SIZE DEPENDENT YIELD BEHAVIOR UNDER LOADING, UNLOADING AND REVERSE LOADING

2008 ◽  
Vol 22 (31n32) ◽  
pp. 5937-5942 ◽  
Author(s):  
NOBUTADA OHNO ◽  
DAI OKUMURA ◽  
TOMOYUKI SHIBATA
Keyword(s):  
Grain Size ◽  
Single Crystals ◽  
Slip Rate ◽  
Higher Order ◽  
Isotropic Hardening ◽  
Yield Behavior ◽  
Self Energy ◽  
Size Dependent ◽  
Reverse Loading ◽  
Order Stress

Two types of higher-order stresses work-conjugate to slip gradient in single crystals are investigated to analyze the grain-size dependent yield behavior of polycrystals. The first is the higher-order stress due to the self-energy of geometrically necessary dislocations (GNDs). The second higher-order stress examined is an extension based on the non-recoverable energy that is postulated to be proportional to the accumulated density of incrementally defined GNDs. It is shown that the second higher-order stress is co-directional with the in-plane gradient of slip-rate and consequently causes isotropic hardening, whereas the first higher-order stress is co-directional with the in-plane gradient of slip. These higher-order stresses are incorporated into a strain gradient plasticity theory of single crystals. Subsequently, using a finite element method, 2D model polycrystals are analyzed to demonstrate the influence of the two types of higher-order stresses on the grain-size dependent yield behavior under loading, unloading and reverse loading.

Grain-Size Effects during Dynamic Recrystallization of Nickel

Metal Science ◽  
1974 ◽  
Vol 8 (1) ◽  
pp. 325-331 ◽  
Author(s):  
J. P. Sah ◽  
G. J. Richardson ◽  
C. M. Sellars
Keyword(s):  
Grain Size ◽  
Dynamic Recrystallization ◽  
Size Effects ◽  
Grain Size Effects

Grain Size Effects in Mn-Modified 0.67BiFeO3–0.33BaTiO3 Ceramics

2021 ◽  
Author(s):  
Yajun Yue ◽  
Xinzhao Xu ◽  
Man Zhang ◽  
Zhongna Yan ◽  
Vladimir Koval ◽  
...  
Keyword(s):  
Grain Size ◽  
Size Effects ◽  
Grain Size Effects

Hall measurements and grain‐size effects in polycrystalline silicon

1980 ◽  
Vol 37 (6) ◽  
pp. 544-546 ◽  
Author(s):  
Amal K. Ghosh ◽  
Albert Rose ◽  
H. Paul Maruska ◽  
Daniel J. Eustace ◽  
Tom Feng
Keyword(s):  
Grain Size ◽  
Size Effects ◽  
Polycrystalline Silicon ◽  
Hall Measurements ◽  
Grain Size Effects

Grain size effects during creep of copper

2002 ◽  
Vol 46 (7) ◽  
pp. 483-488 ◽  
Author(s):  
B Wilshire ◽  
C.J Palmer
Keyword(s):  
Grain Size ◽  
Size Effects ◽  
Grain Size Effects
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