| Title:
|
Some methods for calculating stiffness properties of periodic structures (English) |
| Author:
|
Berggren, Stein A. |
| Author:
|
Lukkassen, Dag |
| Author:
|
Meidell, Annette |
| Author:
|
Simula, Leon |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
97-110 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a general numerical method for calculating effective elastic properties of periodic structures based on the homogenization method. Some concrete numerical examples are presented. (English) |
| Keyword:
|
homogenization theory |
| Keyword:
|
numerical methods |
| Keyword:
|
effective stiffness properties |
| MSC:
|
35B27 |
| MSC:
|
74K99 |
| MSC:
|
74Q15 |
| MSC:
|
74Qxx |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 1099.74053 |
| idMR:
|
MR1966343 |
| DOI:
|
10.1023/A:1026090026531 |
| . |
| Date available:
|
2009-09-22T18:12:46Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134521 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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[8] V. V. Jikov, S. M. Kozlov and O. A. Oleinik: Homogenization of Differential Operators and Integral Functionals.Springer-Verlag, Berlin, 1994. MR 1329546 |
| Reference:
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[9] D. Lukkassen: A new reiterated structure with optimal macroscopic behavior.SIAM J. Appl. Math. 59 (1999), 18250–1842. Zbl 0933.35023, MR 1710545, 10.1137/S0036139997320081 |
| Reference:
|
[10] D. Lukkassen: Some aspects of reiterated honeycombs.In: Mechanics of Composite Materials and Structures. Vol. III, C. A. Mota Soares, C. M. Mota Soares and M. J. M. Freitas (eds.), NATO ASI, Troia, Portugal, 1998, pp. 399–409. |
| Reference:
|
[11] D. Lukkassen, L.-E. Persson, P. Wall: Some engineering and mathematical aspects on the homogenization method.Composites Engineering 5 (1995), 519–531. 10.1016/0961-9526(95)00025-I |
| Reference:
|
[12] A. Meidell: The out-of-plane shear modulus of two-component regular honeycombs with arbitrary thickness.In: Mechanics of Composite Materials and Structures. Vol. III, C. A. Mota Soares, C. M. Mota Soares and M. J. M. Freitas (eds.), NATO ASI, Troia, Portugal, 1998, pp. 367–379. |
| Reference:
|
[13] A. Meidell, P. Wall: Homogenization and design of structures with optimal macroscopic behaviour.In: Computer Aided Optimum Design of Structures V, S. Hernández, C. A. Brebbia (eds.), Computational Mechanics Publications, Southampton, 1997, pp. 393–402. |
| Reference:
|
[14] L. E. Persson, L. Persson, N. Svanstedt and J. Wyller: The Homogenization Method: An Introduction.Studentlitteratur, Lund, 1993. MR 1250833 |
| Reference:
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| . |
