Publication result detail

Mathematical Problems of Modelling of Real Composite Materials

FRANCŮ, J.; NECHVÁTAL, L.; POSPÍŠIL, T.

Original Title

Mathematical Problems of Modelling of Real Composite Materials

English Title

Mathematical Problems of Modelling of Real Composite Materials

Type

Paper in proceedings (conference paper)

Original Abstract

Numerical modelling of composite materials uses homogenization method deve- loped for differential equations with periodic coeffcients. The contribution deals with two problems connected with modelling of real composite material. The problem of uncertain values of the coeffcients is solved by means of method of reliable solution called also the worst scenario method. Structure of the real com- posite material is not exactly periodic. Error caused by assuming periodicity in non-periodic case is studied in the second part.

English abstract

Numerical modelling of composite materials uses homogenization method deve- loped for differential equations with periodic coeffcients. The contribution deals with two problems connected with modelling of real composite material. The problem of uncertain values of the coeffcients is solved by means of method of reliable solution called also the worst scenario method. Structure of the real com- posite material is not exactly periodic. Error caused by assuming periodicity in non-periodic case is studied in the second part.

Keywords

homogenization, reliable solution, worst scenario method, uncertain data, random structure, modelling of composite materials.

Key words in English

homogenization, reliable solution, worst scenario method, uncertain data, random structure, modelling of composite materials.

Authors

FRANCŮ, J.; NECHVÁTAL, L.; POSPÍŠIL, T.

Released

01.12.2005

Publisher

Katedra matematiky Fakulty stavebni ČVUT v Praze, JČMF

Location

Praha

ISBN

80-7015-001-7

Book

Proceedings of the Conference Seminar of Applied Mathematics

Pages from

91

Pages to

105

Pages count

15

BibTex

@inproceedings{BUT20996,
  author="Jan {Franců} and Luděk {Nechvátal} and Tomáš {Pospíšil}",
  title="Mathematical Problems of Modelling of Real Composite Materials",
  booktitle="Proceedings of the Conference Seminar of Applied Mathematics",
  year="2005",
  pages="91--105",
  publisher="Katedra matematiky Fakulty stavebni ČVUT v Praze, JČMF",
  address="Praha",
  isbn="80-7015-001-7"
}