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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
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" }