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  • This paper contributes to modelling of porous materials with different levels of porosity at different length scales. We use the theory of homogenization to upscale a poroelastic description of the lowest level to higher levels of porosities in a sense that effective poroelastic material coefficients (consistent with the Biot model) at a higher level are obtained by applying homogenization to the lower level. In this way, different porosities associated with different scale levels are taken into account and a hierarchical description of a macroscopic specimen is obtained. We consider two scales and focus on two important cases: a) the systems of pores at the two scales are interconnected or b) are mutually separated by a semipermeable interface. Homogenization results as well as numerical examples are presented.
  • This paper contributes to modelling of porous materials with different levels of porosity at different length scales. We use the theory of homogenization to upscale a poroelastic description of the lowest level to higher levels of porosities in a sense that effective poroelastic material coefficients (consistent with the Biot model) at a higher level are obtained by applying homogenization to the lower level. In this way, different porosities associated with different scale levels are taken into account and a hierarchical description of a macroscopic specimen is obtained. We consider two scales and focus on two important cases: a) the systems of pores at the two scales are interconnected or b) are mutually separated by a semipermeable interface. Homogenization results as well as numerical examples are presented. (en)
Title
  • Hierarchical numerical modelling of nested poroelastic media
  • Hierarchical numerical modelling of nested poroelastic media (en)
skos:prefLabel
  • Hierarchical numerical modelling of nested poroelastic media
  • Hierarchical numerical modelling of nested poroelastic media (en)
skos:notation
  • RIV/49777513:23520/12:43915767!RIV13-GA0-23520___
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  • P(ED1.1.00/02.0090), P(GA106/09/0740)
http://linked.open...vai/riv/dodaniDat
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  • 138910
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  • RIV/49777513:23520/12:43915767
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  • poroelasticity, homogenization, double porosity, micromechanics, multiscale modelling (en)
http://linked.open.../riv/klicoveSlovo
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  • [359E12F62B15]
http://linked.open...v/mistoKonaniAkce
  • Dubrovník
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  • Dubrovník
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  • Proceedings of the Eleventh International Conference on Computational Structures Technology
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  • Rohan, Eduard
  • Cimrman, Robert
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 1759-3433
number of pages
http://bibframe.org/vocab/doi
  • 10.4203/ccp.99
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  • Neuveden
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  • 978-1-905088-54-6
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  • 23520
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