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  • 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.
  • 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. (en)
Title
  • Microstructural enrichment functions based on stochastic Wang tilings
  • Microstructural enrichment functions based on stochastic Wang tilings (en)
skos:prefLabel
  • Microstructural enrichment functions based on stochastic Wang tilings
  • Microstructural enrichment functions based on stochastic Wang tilings (en)
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  • RIV/00216305:26110/13:PU110905!RIV15-MSM-26110___
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  • P(ED1.1.00/02.0070), P(EE2.3.30.0005), P(GAP105/11/0411), P(GAP105/12/0331), P(GPP105/11/P370), Z(MSM6840770003)
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  • 2
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  • 88235
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  • RIV/00216305:26110/13:PU110905
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  • microstructural enrichment, stochastic, Wang tilings (en)
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  • GB - Spojené království Velké Británie a Severního Irska
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  • [FD7824469A4D]
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  • MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
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  • 21
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  • Kučerová, Anna
  • Novák, Jan
  • Zeman, Jan
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issn
  • 0965-0393
number of pages
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  • 10.1088/0965-0393/21/2/025014
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  • 26110
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