Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation

2013 ◽  
Vol 212 (1) ◽  
pp. 331-357 ◽  
Author(s):  
Landry Fokoua ◽  
Sergio Conti ◽  
Michael Ortiz
Keyword(s):  
Ductile Fracture ◽  
Optimal Scaling ◽  
Void Sheet

scholarly journals Scaling Laws in the Ductile Fracture of Metallic Crystals

2015 ◽  
Vol 82 (7) ◽  
Author(s):  
M. I. Baskes ◽  
M. Ortiz
Keyword(s):  
Fracture Energy ◽  
Ductile Fracture ◽  
Cell Size ◽  
Power Law ◽  
Strain Gradient ◽  
Scaling Laws ◽  
Optimal Scaling ◽  
Strain Gradient Plasticity ◽  
Gradient Plasticity ◽  
The Continuum

We explore whether the continuum scaling behavior of the fracture energy of metals extends down to the atomistic level. We use an embedded atom method (EAM) model of Ni, thus bypassing the need to model strain-gradient plasticity at the continuum level. The calculations are performed with a number of different 3D periodic size cells using standard molecular dynamics (MD) techniques. A void nucleus of a single vacancy is placed in each cell and the cell is then expanded through repeated NVT MD increments. For each displacement, we then determine which cell size has the lowest energy. The optimal cell size and energy bear a power-law relation to the opening displacement that is consistent with continuum estimates based on strain-gradient plasticity (Fokoua et al., 2014, “Optimal Scaling in Solids Undergoing Ductile Fracture by Void Sheet Formation,” Arch. Ration. Mech. Anal. (in press); Fokoua et al., 2014, “Optimal Scaling Laws for Ductile Fracture Derived From Strain-Gradient Microplasticity,” J. Mech. Phys. Solids, 62, pp. 295–311). The persistence of power-law scaling of the fracture energy down to the atomistic level is remarkable.

Ductile Fracture of a Marine Structural Steel based on HC-DSSE Combined Fracture Strain Formulation

2019 ◽  
Vol 56 (1) ◽  
pp. 82-93
Author(s):  
Sung-Ju Park ◽  
Kangsu Lee ◽  
Burak Can Cerik ◽  
Younghyn Kim ◽  
Joonmo Choung
Keyword(s):  
Ductile Fracture ◽  
Structural Steel ◽  
Fracture Strain ◽  
Strain Formulation
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