Publication result detail

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.

Original Title

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

English Title

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

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

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

RIV year

2019

Released

01.09.2018

Publisher

Scientific Net

Book

Advances in Fracture and Damage Mechanics XVII

ISBN

1662-9809

Periodical

Key Engineering Materials (CD)

Volume

774

Number

1

State

Swiss Confederation

Pages from

447

Pages to

452

Pages count

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"
}