Detail publikace

Improved sequentially linear solution procedure

ELIÁŠ, J. FRANTÍK, P. VOŘECHOVSKÝ, M.

Originální název

Improved sequentially linear solution procedure

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

The article proposes an improvement over the widely used sequentially linear solution procedure often utilized for fracture simulations. In the classical secant version of this method, a partial solution of a step is scaled to reach a stress limit in exactly one element and the mechanical properties of the critical element are reduced. Non-proportional loading is generally unfeasible due to avalanches of ruptures caused by stress redistribution. Because only one loading vector can be scaled at a time, all others have to remain constant during the step. However, the constant load vectors do not allow proper determination of the critical element. A modified procedure based on redistribution of released stresses is developed here. It preserves the linearity of each step. After rupture of the critical element, a sequentially linear redistribution process of stress release takes place until a static equilibrium state is reached. During the redistribution, other elements may break. The proposed enhanced sequential procedure is also compared with another recently published ''event-by-event" linear method for non-proportional loading. It is shown here, with the help of simple examples, that the proposed redistribution method yields correct results for non-proportional loading, unlike the other methods under comparison.

Klíčová slova

Sequentially linear procedure, Elasto-brittle elements, Non-proportional load-path, Stress redistribution

Autoři

ELIÁŠ, J.; FRANTÍK, P.; VOŘECHOVSKÝ, M.

Rok RIV

2010

Vydáno

16. 5. 2010

Místo

EU

ISSN

0013-7944

Periodikum

Engineering Fracture Mechanics

Ročník

77

Číslo

12

Stát

Spojené království Velké Británie a Severního Irska

Strany od

2263

Strany do

2276

Strany počet

14

URL

https://www.sciencedirect.com/science/article/pii/S0013794410002614

BibTex

@article{BUT50255,
  author="Jan {Eliáš} and Petr {Frantík} and Miroslav {Vořechovský}",
  title="Improved sequentially linear solution procedure",
  journal="Engineering Fracture Mechanics",
  year="2010",
  volume="77",
  number="12",
  pages="2263--2276",
  doi="10.1016/j.engfracmech.2010.05.018",
  issn="0013-7944",
  url="https://www.sciencedirect.com/science/article/pii/S0013794410002614"
}