- Tytuł:
- Exactness of formal asymptotic solutions of a Dirichlet problem modeling the steady state of functionally-graded microperiodic nonlinear rods
- Autorzy:
-
Décio, Roberto M.S.
Pérez-Fernández, Leslie D.
Bravo-Castillero, Julián - Powiązania:
- https://bibliotekanauki.pl/articles/122748.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
asymptotic homogenization
power-law nonlinearity
functionally-graded rods
stan ustalony
problem Dirichleta
metoda homogenizacji
rozwiązanie asymptotyczne - Opis:
- In their usual form, homogenization methods produce first-order approximations of the exact solutions of problems for differential equations with rapidly oscillating coefficients which model the physical behavior of microstructured media. However, there is need of approximations containing higher-order terms when the usual first-order approximations, which are formed by superposing a macroscopic trend and a local perturbation, are not capable of reproducing the local details of the exact solutions. Here, two-scale asymptotic solutions with second-order terms are provided for a Dirichlet problem modeling the steady state of functionally-graded microperiodic nonlinear rods. The need of considering higherorder terms is illustrated through numerical examples for various power-law nonlinearities.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 3; 45-56
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł