Detail publikace
Prediction of the Critical Energy Release Rate of Nanostructured Solids using the Laplacian Version of the Strain Gradient Elasticity Theory
KOTOUL, M. SKALKA, P. PROFANT, T. ŘEHÁK, P. ŠESTÁK, P. FRIÁK, M.
Anglický název
Prediction of the Critical Energy Release Rate of Nanostructured Solids using the Laplacian Version of the Strain Gradient Elasticity Theory
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
en
Originální abstrakt
The aim of the paper is to quantify the material length scale parameter of the simplified form of the strain gradient elasticity theory (SGET) using first principles density-functional theory (DFT). The single material length scale parameter l is extracted from phonon-dispersions generated by DFT calculations and, for comparison, by adjusting the analytical SGET solution for the displacement field near the screw dislocation with the DFT calculations of this field. The obtained results are further used in the SGET modeling of cracked nano-panel formed by the single tungsten crystal where due to size effects and nonlocal material point interactions the classical fracture mechanics breaks down.
Anglický abstrakt
The aim of the paper is to quantify the material length scale parameter of the simplified form of the strain gradient elasticity theory (SGET) using first principles density-functional theory (DFT). The single material length scale parameter l is extracted from phonon-dispersions generated by DFT calculations and, for comparison, by adjusting the analytical SGET solution for the displacement field near the screw dislocation with the DFT calculations of this field. The obtained results are further used in the SGET modeling of cracked nano-panel formed by the single tungsten crystal where due to size effects and nonlocal material point interactions the classical fracture mechanics breaks down.
Klíčová slova anglicky
Fracture nanomechanics, Strain gradient elasticity, DFT, FEM, size dependent phenomena
Vydáno
01.09.2018
Nakladatel
Scientific Net
ISSN
1662-9809
Kniha
Advances in Fracture and Damage Mechanics XVII
Ročník
774
Číslo
1
Strany od–do
447–452
Počet stran
6
BIBTEX
@inproceedings{BUT151938,
author="Michal {Kotoul} and Petr {Skalka} and Tomáš {Profant} and Petr {Řehák} and Petr {Šesták} and Martin {Friák},
title="Prediction of the Critical Energy Release Rate of Nanostructured Solids using the Laplacian Version of the Strain Gradient Elasticity Theory ",
booktitle="Advances in Fracture and Damage Mechanics XVII ",
year="2018",
volume="774",
number="1",
month="September",
pages="447--452",
publisher="Scientific Net",
issn="1662-9809"
}