Optimization of the porous material described by the Biot model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43951993" target="_blank" >RIV/49777513:23520/19:43951993 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.ijsolstr.2018.08.016" target="_blank" >https://doi.org/10.1016/j.ijsolstr.2018.08.016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijsolstr.2018.08.016" target="_blank" >10.1016/j.ijsolstr.2018.08.016</a>
Alternative languages
Result language
angličtina
Original language name
Optimization of the porous material described by the Biot model
Original language description
The paper is devoted to the shape optimization of microstructures generating porous locally periodic materials saturated by viscous fluids. At the macroscopic level, the porous material is described by the Biot model defined in terms of the effective medium coefficients, involving the drained skeleton elasticity, the Biot stress coupling, the Biot compressibility coefficients, and by the hydraulic permeability of the Darcy flow model. By virtue of the homogenization, these coefficients are computed using characteristic responses of the representative unit cell consisting of an elastic solid skeleton and a viscous pore fluid. For the purpose of optimization, the sensitivity analysis on the continuous level of the problem is derived. We provide sensitivities of objective functions constituted by the Biot model coefficients with respect to the underlying pore shape described by a B-spline box which embeds the whole representative cell. We consider material design problems in the framework of which the layout of a single representative cell is optimized. Then we propose a sequential linearization approach to the two-scale problem in which local microstructures are optimized with respect to macroscopic design criteria. Numerical experiments are reported which include stiffness maximization with constraints guaranteeing minimum required permeability, and vice versa. Issues of the design anisotropy, the spline box parametrization are discussed. In order to avoid remeshing, a geometric regularization technique based on injectivity constraints is applied.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
ISSN
0020-7683
e-ISSN
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Volume of the periodical
156
Issue of the periodical within the volume
January 2019
Country of publishing house
DE - GERMANY
Number of pages
18
Pages from-to
216-233
UT code for WoS article
000453644300017
EID of the result in the Scopus database
2-s2.0-85054821509