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  • The sustainable environmental tendencies lead to a highly optimized design of majority of consumer products. In Materials Engineering, this is mirrored by a race towards miniaturization, top product performance, and optimal energy consumption. A potential solution to these contradicting requirements is brought by custom designed composite materials, which finds the use of virtual laboratories that link the knowledge of characteristic physical processes taking place at the level of constituents with macro-scale behaviour. To contribute this goal, the generalization of a popular periodic unit cell approach to modelling of heterogeneous materials is presented. It rests on the idea of stochastic Wang tilings [1] to represent random material microstructures or fine scale local field patterns that can be used as the microstructure-informed enrichment functions in Generalized Finite Element environments. Preliminary result are outlined and discussed.
  • The sustainable environmental tendencies lead to a highly optimized design of majority of consumer products. In Materials Engineering, this is mirrored by a race towards miniaturization, top product performance, and optimal energy consumption. A potential solution to these contradicting requirements is brought by custom designed composite materials, which finds the use of virtual laboratories that link the knowledge of characteristic physical processes taking place at the level of constituents with macro-scale behaviour. To contribute this goal, the generalization of a popular periodic unit cell approach to modelling of heterogeneous materials is presented. It rests on the idea of stochastic Wang tilings [1] to represent random material microstructures or fine scale local field patterns that can be used as the microstructure-informed enrichment functions in Generalized Finite Element environments. Preliminary result are outlined and discussed. (en)
Title
  • Breaking Periodicity in Simulation of Microstructured Materials
  • Breaking Periodicity in Simulation of Microstructured Materials (en)
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  • Breaking Periodicity in Simulation of Microstructured Materials
  • Breaking Periodicity in Simulation of Microstructured Materials (en)
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  • RIV/68407700:21110/14:00220165!RIV15-GA0-21110___
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  • RIV/68407700:21110/14:00220165
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  • Wang tiling; Enrichment strategy (en)
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  • Horák, Martin
  • Novák, Jan
  • Doškář, Martin
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  • 21110
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