Detail publikačního výsledku

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.

Originální název

Prediction of the Critical Energy Release Rate of Nanostructured Solids using the Laplacian Version of the Strain Gradient Elasticity Theory

Anglický název

Prediction of the Critical Energy Release Rate of Nanostructured Solids using the Laplacian Version of the Strain Gradient Elasticity Theory

Druh

Stať ve sborníku v databázi WoS či Scopus

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

Fracture nanomechanics, Strain gradient elasticity, DFT, FEM, size dependent phenomena

Klíčová slova v angličtině

Fracture nanomechanics, Strain gradient elasticity, DFT, FEM, size dependent phenomena

Autoři

KOTOUL, M.; SKALKA, P.; PROFANT, T.; ŘEHÁK, P.; ŠESTÁK, P.; FRIÁK, M.

Rok RIV

2019

Vydáno

01.09.2018

Nakladatel

Scientific Net

Kniha

Advances in Fracture and Damage Mechanics XVII

ISSN

1662-9809

Periodikum

Key Engineering Materials (CD)

Svazek

774

Číslo

1

Stát

Švýcarská konfederace

Strany od

447

Strany do

452

Strany počet

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",
  journal="Key Engineering Materials (CD)",
  volume="774",
  number="1",
  pages="447--452",
  publisher="Scientific Net",
  doi="10.4028/www.scientific.net/KEM.774.447",
  issn="1662-9809"
}