About: FETI-based Homogenization of Composites with Perfect Bonding and Debonding of Constituents     Goto   Sponge   NotDistinct   Permalink

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  • The present paper deals with the homogenization of composite materials with periodic microstructure. Emphasis is put on mathematical modeling of imperfect bonding between linearly elastic constituents. Elements of homogenization theory are introduced, together with the Unit Cell problem governing the macroscopic response of the equivalent homogeneous body. Numerical resolution of mathematical and physical problem of homogenization is based on the Finite Element Tearing and Interconnecting (FETI) method, extended to cover both cases of the perfect bonding and debonding of individual constituents. It is demonstrated that FETI allows very efficient treatment of the conventional homogenization problem for composites with the limit zero as well as infinite values of interfacial compliance. Verification of the method is performed using selected data available in open literature.
  • The present paper deals with the homogenization of composite materials with periodic microstructure. Emphasis is put on mathematical modeling of imperfect bonding between linearly elastic constituents. Elements of homogenization theory are introduced, together with the Unit Cell problem governing the macroscopic response of the equivalent homogeneous body. Numerical resolution of mathematical and physical problem of homogenization is based on the Finite Element Tearing and Interconnecting (FETI) method, extended to cover both cases of the perfect bonding and debonding of individual constituents. It is demonstrated that FETI allows very efficient treatment of the conventional homogenization problem for composites with the limit zero as well as infinite values of interfacial compliance. Verification of the method is performed using selected data available in open literature. (en)
  • Příspěvek se zabývá homogenizací kompozitních materiálů s periodickou mikrostrukturou. Je zaměřen na matematické modelování nedokonalého rozhraní mezi lineárně pružnými složkami. Je představen teoretický základ homogenizační teorie periodických mikrostruktur. Numerické řešení matematicko-fyzikálního problému je založeno na jedné z metod doménové dekompozice - Finite Element Tearing and Interconnecting (FETI) method. Je řešen případ dokonalého spojení a dokonalého rozpojení složek a z práce je zřejmá vhodnost použití metody FETI pro oba případy. (cs)
Title
  • FETI-based Homogenization of Composites with Perfect Bonding and Debonding of Constituents
  • Homogenizace kompozitů s perfektním spojením a rozpojením složek založená na metodě FETI (cs)
  • FETI-based Homogenization of Composites with Perfect Bonding and Debonding of Constituents (en)
skos:prefLabel
  • FETI-based Homogenization of Composites with Perfect Bonding and Debonding of Constituents
  • Homogenizace kompozitů s perfektním spojením a rozpojením složek založená na metodě FETI (cs)
  • FETI-based Homogenization of Composites with Perfect Bonding and Debonding of Constituents (en)
skos:notation
  • RIV/68407700:21110/08:01141487!RIV09-GA0-21110___
http://linked.open...avai/riv/aktivita
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  • P(GA106/07/1244), P(GA106/08/1379)
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  • 367875
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  • RIV/68407700:21110/08:01141487
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  • FETI; composite materials; contact problem; debonding; homogenization; imperfect bonding of constituents; modified conjugate gradient method; unit cell (en)
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  • [E488168AF2B3]
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  • Praha
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  • Praha
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  • Mechanika kompozitních materiálů a konstrukcí
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  • Gruber, Pavel
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number of pages
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  • České vysoké učení technické v Praze. Fakulta strojní. Ústav mechaniky
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  • 978-80-01-04044-7
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  • 21110
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