Two-Dimensional Analysis of Size Effects in Strain-Gradient Granular Solids with Damage-Induced Anisotropy Evolution

2021 ◽  
Vol 147 (11) ◽  
pp. 04021098
Author(s):  
Valerii Maksimov ◽  
Emilio Barchiesi ◽  
Anil Misra ◽  
Luca Placidi ◽  
Dmitry Timofeev
Keyword(s):  
Dimensional Analysis ◽  
Strain Gradient ◽  
Size Effects ◽  
Two Dimensional ◽  
Induced Anisotropy ◽  
Granular Solids

Size effects in two-dimensional layered materials modeled by couple stress elasticity

2021 ◽  
Author(s):  
Wipavee Wongviboonsin ◽  
Panos A. Gourgiotis ◽  
Chung Nguyen Van ◽  
Suchart Limkatanyu ◽  
Jaroon Rungamornrat
Keyword(s):  
Size Effects ◽  
Couple Stress ◽  
Layered Materials ◽  
Two Dimensional ◽  
Couple Stress Elasticity

Scale-Dependent Crack Modeling for Investigation the Effect of Geometrically Necessary Dislocations in Micro/Nano Grain Size of Copper

2016 ◽  
Vol 15 ◽  
pp. 1-16 ◽  
Author(s):  
Amin Zaami ◽  
Ali Shokuhfar
Keyword(s):  
Grain Size ◽  
Stress Concentration ◽  
Strain Gradient ◽  
Stress Concentration Factor ◽  
Size Effects ◽  
Crack Tip ◽  
Length Scale ◽  
State Variables ◽  
Dependent Model ◽  
Homogeneous Strain

In this study, a scale-dependent model is employed to investigate the size effects of copper on the behavior of the crack-tip. This model includes the homogeneous and non-homogeneous strain hardening based on the wavelet interpretation of size effect. Introducing additional micro/nano structural considerations together with decreasing grain size, different size effects can be obtained. As the size dependency is not taken into account in conventional plasticity, an enhanced theory which is related to the strain gradient introduces a length scale will give more realistic representations of state variables near the crack-tip. Accordingly, the contribution of geometrically necessary dislocations (GNDs) activity on strengthening and stress concentration factor is identified in the crack-tip. Finally, the affected zone which is dominated by presence of GNDs is identified

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