Název:	A sequential global programming approach for two-scale optimization of homogenized multiphysics problems with application to Biot porous media
Autoři:	Vu, Bich Ngoc Lukeš, Vladimír Stingl, Michael Rohan, Eduard
Citace zdrojového dokumentu:	VU, BN. LUKEŠ, V. STINGL, M. ROHAN, E. A sequential global programming approach for two-scale optimization of homogenized multiphysics problems with application to Biot porous media. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2023, roč. 66, č. 9, s. nestránkováno. ISSN: 1615-147X
Datum vydání:	2023
Nakladatel:	Springer
Typ dokumentu:	článek article
URI:	2-s2.0-85170829741 http://hdl.handle.net/11025/54580
ISSN:	1615-147X
Klíčová slova v dalším jazyce:	multi-material optimization;sequential global programming;homogenization;biot model;poroelasticity;sensitivity analysis
Abstrakt v dalším jazyce:	We present a new approach and an algorithm for solving two-scale material optimization problems to optimize the behaviour of a fluid-saturated porous medium in a given domain. While the state problem is governed by the Biot model describing the fluid–structure interaction in homogenized poroelastic structures, the approach is widely applicable to multiphysics problems involving several macroscopic fields in which homogenization provides the relationship between the microconfigurations and the macroscopic mathematical model. The optimization variables describe the local microstructure design by virtue of the pore shape which determines the effective medium properties, namely the material coefficients, computed by the homogenization method. The numerical optimization strategy involves (a) precomputing a database of the material coefficients associated with the geometric parameters and (b) applying the sequential global programming (SGP) method for solving the problem of macroscopically optimized distribution of material coefficients. Although there are similarities to the free material optimization (FMO) approach, only effective material coefficients are considered admissible, for which a well-defined set of corresponding configurable microstructures exists. Due to the flexibility of the SGP approach, different types of microstructures with fully independent parametrizations can easily be handled. The efficiency of the concept is demonstrated by a series of numerical experiments that show that the SGP method can simultaneously handle multiple types of microstructures with nontrivial parametrizations using a considerably low and stable number of state problems to be solved.
Práva:	© The Author(s)
Vyskytuje se v kolekcích:	Články / Articles (NTIS) Články / Articles (KME) OBD

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