Micro–macro modelling of the effects of the grain size distribution on the plastic flow stress of heterogeneous materials

2007 ◽  
Vol 39 (1) ◽  
pp. 96-105 ◽  
Author(s):  
S. Berbenni ◽  
V. Favier ◽  
M. Berveiller
Keyword(s):  
Grain Size ◽  
Flow Stress ◽  
Size Distribution ◽  
Plastic Flow ◽  
Grain Size Distribution ◽  
Heterogeneous Materials ◽  
Plastic Flow Stress

Variable Elastic-Plastic Properties of the Grain Boundaries and Their Effect on the Macroscopic Flow Stress of Nano-Crystalline Metals

2009 ◽  
Vol 1224 ◽  
Author(s):  
Malgorzata Lewandowska ◽  
Romuald Dobosz ◽  
Krzysztof J Kurzydlowski
Keyword(s):  
Grain Size ◽  
Flow Stress ◽  
Grain Boundaries ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Distribution Functions ◽  
Boundary Misorientation ◽  
Plastic Properties ◽  
Nano Crystalline ◽  
Average Grain Size

AbstractThe paper reports new experimental results describing properties and microstructure of nanocrystalline metals. Nano- and sub-micron aluminium has been produced by hydrostatic extrusion at ambient tempearture. The structures have been quantified in terms of size of grains and misorientation of the grain boundaries. Different average size of grains, variable normalized width of grain size distribution and changing grain boundary misorientation distribution functions have been revealed depending on processing parameters. The results of the tensile tests showed that the average grain size, grain size distribution and the distribution function of misorientation angles influence the flow stress of obtained nano-metals. In order to explain the observed difference in the properties of nano- and micro-sized aluminium alloys, a Finite Element Method models have been developed, which assumes that both grain boundaries and grain interiors may accommodated elastic and non-linear plastic deformation. These models assumed true geometry of grains (which differed in size and shape). Also, variable mechanical properties of grain boundaries have been taken into account (elastic modulus, yield strength and work hardening rate). The results of modelling explain in a semi-quantitative way macroscopic deformation of nano-crystalline aggregates. In particular, they illustrate the importance of the interplay between properties of grain boundaries and grain interiors in elastic and plastic regime.

Grain-size effect on plastic flow stress of nanolaminated polycrystalline aluminum/graphene composites

2020 ◽  
Vol 148 ◽  
pp. 103530
Author(s):  
Xiaohuan Zhou ◽  
Xia Liu ◽  
Junjun Shang ◽  
Qingsheng Yang
Keyword(s):  
Grain Size ◽  
Flow Stress ◽  
Size Effect ◽  
Plastic Flow ◽  
Grain Size Effect ◽  
Polycrystalline Aluminum ◽  
Plastic Flow Stress

The Effect of Grain Size Distribution on the Mechanical Properties of Nanometals

2008 ◽  
Vol 140 ◽  
pp. 185-190 ◽  
Author(s):  
T.B. Tengen ◽  
Tomasz Wejrzanowski ◽  
R. Iwankiewicz ◽  
Krzysztof Jan Kurzydlowski
Keyword(s):  
Mechanical Properties ◽  
Grain Size ◽  
Flow Stress ◽  
Size Distribution ◽  
Grain Size Distribution ◽  
Deformation Mechanisms ◽  
Average Grain Size ◽  
Significant Interest ◽  
Size Dispersion ◽  
The Relationship

Predicting the properties of a material from knowledge of the internal microstructures is attracting significant interest in the fields of materials design and engineering. The most commonly used expression, known as Hall-Petch Relationship (HPR), reports on the relationship between the flow stress and the average grain size. However, there is much evidence that other statistical information that the grain size distribution in materials may have significant impact on the mechanical properties. These could even be more pronounced in the case of grains of the nanometer size, where the HPR is no longer valid and the Reverse-HPR is more applicable. This paper proposes a statistical model for the relationship between flow stress and grain size distribution. The model considered different deformation mechanisms and was used to predict mechanical properties of aluminium and copper. The results obtained with the model shows that the dispersion of grain size distribution plays an important role in the design of desirable mechanical properties. In particular, it was found that that the dependence of a material’s mechanical properties on grain size dispersion also follows the HPR to Inverse-HPR type of behaviour. The results also show that copper is more sensitive to changes in grain size distribution than aluminium.

scholarly journals Grain-size distribution effects in plastic flow and failure

2007 ◽  
Vol 463 (1-2) ◽  
pp. 231-237 ◽  
Author(s):  
M.P. Phaniraj ◽  
M.J.N.V. Prasad ◽  
A.H. Chokshi
Keyword(s):  
Grain Size ◽  
Size Distribution ◽  
Plastic Flow ◽  
Grain Size Distribution
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