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"
}