Asymptotic Homogenisation in Strength and Fatigue Durability Analysis of Composites
- Asymptotic homogenisation technique and two-scale convergence is used for analysis of macro-strength and fatigue durability of composites with a periodic structure under cyclic loading. The linear damage accumulation rule is employed in the phenomenological micro-durability conditions (for each component of the composite) under varying cyclic loading. Both local and non-local strength and durability conditions are analysed. The strong convergence of the strength and fatigue damage measure as the structure period tends to zero is proved and their limiting values are estimated.
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| Author: | S. E. Mikhailov, J. Orlik |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-13104 |
| Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (45) |
| Document Type: | Report |
| Language of publication: | English |
| Year of Completion: | 2003 |
| Year of first Publication: | 2003 |
| Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
| Date of the Publication (Server): | 2004/02/10 |
| Tag: | asymptotic homogenization; fatigue; multiscale structures; non-local conditions; singularity; strength |
| Faculties / Organisational entities: | Fraunhofer (ITWM) |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |