# 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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- G.P. Panasenko, Asymptotic analysis of bar systems. II. Russian J. Math. Phys.4 (1996) 87-116. Zbl0924.73021
- G.P. Panasenko and J. Saint Jean Paulin, An asymptotic analysis of junctions of non-homogeneous elastic rods: boundary layers and asymptotics expansions, touch junctions.Moscow, Metz, Comp. Math. Phys.33 (1993) 1483-1508. Zbl0816.73025
- J. Sanchez-Hubert and E. Sanchez-Palencia, Introduction aux méthodes asymptotiques et à l'homogénisation. Masson, Paris, Milan, Barcelone, Bonne (1992).
- J. Sanchez-Hubert and E. Sanchez-Palencia, Statics of curved rods on account of torsion and flexion. Eur. J. Mech. A/Solids18 (1999) 365-390. Zbl0938.74040

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