Publication detail

Microstructural enrichment functions based on stochastic Wang tilings

NOVÁK, J. KUČEROVÁ, A. ZEMAN, J.

Original Title

Microstructural enrichment functions based on stochastic Wang tilings

Type

journal article - other

Language

English

Original Abstract

This paper presents an approach to constructing microstructural enrichment functions to local fields in non-periodic heterogeneous materials with applications in Partition of Unity and Hybrid Finite Element schemes. It is based on a concept of aperiodic tilings by the Wang tiles, designed to produce microstructures morphologically similar to original media and enrichment functions that satisfy the underlying governing equations. An appealing feature of this approach is that the enrichment functions are defined only on a small set of square tiles and extended to larger domains by an inexpensive stochastic tiling algorithm in a non-periodic manner.

Keywords

microstructural enrichment, stochastic, Wang tilings

Authors

NOVÁK, J.; KUČEROVÁ, A.; ZEMAN, J.

RIV year

2013

Released

10. 3. 2013

ISBN

0965-0393

Periodical

MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

Year of study

21

Number

2

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

19

Pages count

19

BibTex

@article{BUT110066,
  author="Jan {Novák} and Anna {Kučerová} and Jan {Zeman}",
  title="Microstructural enrichment functions based on stochastic Wang tilings",
  journal="MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING",
  year="2013",
  volume="21",
  number="2",
  pages="1--19",
  doi="10.1088/0965-0393/21/2/025014",
  issn="0965-0393"
}