On the Asymptotic Analys of a Non-Symmetric Bar
ESAIM: Mathematical Modelling and Numerical Analysis (2010)
- Volume: 34, Issue: 5, page 1069-1085
- ISSN: 0764-583X
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topMajd, Abderrazzak. "On the Asymptotic Analys of a Non-Symmetric Bar." ESAIM: Mathematical Modelling and Numerical Analysis 34.5 (2010): 1069-1085. <http://eudml.org/doc/197435>.
@article{Majd2010,
abstract = {
We study the 3-D elasticity problem in the case of a
non-symmetric heterogeneous rod. The asymptotic expansion of the solution is
constructed. The coercitivity of the homogenized equation is proved. Estimates
are derived for the difference between the truncated series and the exact solution.
},
author = {Majd, Abderrazzak},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Elastic bar homogenization.; error estimate; three-dimensional elasticity; non-symmetric heterogeneous rod; asymptotic expansion; coercitivity; homogenized equation; truncated series},
language = {eng},
month = {3},
number = {5},
pages = {1069-1085},
publisher = {EDP Sciences},
title = {On the Asymptotic Analys of a Non-Symmetric Bar},
url = {http://eudml.org/doc/197435},
volume = {34},
year = {2010},
}
TY - JOUR
AU - Majd, Abderrazzak
TI - On the Asymptotic Analys of a Non-Symmetric Bar
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 5
SP - 1069
EP - 1085
AB -
We study the 3-D elasticity problem in the case of a
non-symmetric heterogeneous rod. The asymptotic expansion of the solution is
constructed. The coercitivity of the homogenized equation is proved. Estimates
are derived for the difference between the truncated series and the exact solution.
LA - eng
KW - Elastic bar homogenization.; error estimate; three-dimensional elasticity; non-symmetric heterogeneous rod; asymptotic expansion; coercitivity; homogenized equation; truncated series
UR - http://eudml.org/doc/197435
ER -
References
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