Detail publikace

Novel approach to FE solution of crack problems in the Laplacian-based gradient elasticity

SKALKA, P. NAVRÁTIL, P. KOTOUL, M.

Originální název

Novel approach to FE solution of crack problems in the Laplacian-based gradient elasticity

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

Stress/strain concentration around a crack tip in ceramic foam-like structures, where the characteristic size of the foam cell is comparable with a typical length over which field quantities change significantly, is analysed. It is convenient to replace the foam structure by an effective continuum which retains all necessary characteristic features of the foam. To this end a homogenized cracked open cell ceramic foam is analysed using the strain/stress model based upon an implicit dependence of the non-local stress and strain on the local stress and strain in the form of an inhomogeneous Helmholtz equation which is solved together with the equilibrium equations. To preserve the advantage of the uncoupled system of equations, which means that one set of equations is solved prior the other one and that two sets of shape functions can be chosen independently, are current sequence of well posed boundary value problems is constructed which can be solved using a classical 8-nodes isoparametric element for 2D problems. The key idea behind the suggested procedure consists in replacing the scale parameter l by a parameter increment dl chosen arbitrarily small. The given small disturbance causes are distribution of the local stress/displacement field. After the new local stress/displacement field is known, another disturbance is introduced and so on. The procedure is stopped when the solution, exhibiting boundary layer behaviour, leads to the cohesive-like zone with length reaching a value uniquely related to the scale parameter l.

Klíčová slova

Ceramic material, Foam material, Gradient elasticity, Stress concentrations, Finite elements, Numerical algorithms

Autoři

SKALKA, P.; NAVRÁTIL, P.; KOTOUL, M.

Rok RIV

2015

Vydáno

1. 4. 2016

Nakladatel

Elsevier

ISSN

0167-6636

Periodikum

Mechanics of Materials

Ročník

95

Číslo

1

Stát

Nizozemsko

Strany od

28

Strany do

48

Strany počet

21

URL

Plný text v Digitální knihovně

BibTex

@article{BUT120700,
  author="Petr {Skalka} and Petr {Navrátil} and Michal {Kotoul}",
  title="Novel approach to FE solution of crack problems in the Laplacian-based gradient elasticity",
  journal="Mechanics of Materials",
  year="2016",
  volume="95",
  number="1",
  pages="28--48",
  doi="10.1016/j.mechmat.2015.12.007",
  issn="0167-6636",
  url="https://www.sciencedirect.com/science/article/pii/S0167663615002781"
}