Homogenization of linear elastic shells

Homogenization techniques were used by Duvaut (1976, 1978) in asymptotic analyses of 3-dimensional periodic continuum problems and periodic von Karman plates. In the present work the Budiansky-Sanders (1967) linear elastic shells with material parameters rapidly oscillating on the shell surface are...

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Bibliographic Details
Published in:Journal of elasticity 1985-03, Vol.15 (1), p.69-87
Main Author: LUTOBORSKI, A
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:Homogenization techniques were used by Duvaut (1976, 1978) in asymptotic analyses of 3-dimensional periodic continuum problems and periodic von Karman plates. In the present work the Budiansky-Sanders (1967) linear elastic shells with material parameters rapidly oscillating on the shell surface are homogenized. A homogenized shell model is obtained which is elliptic and depends on explicitly calculated effective material parameters. It is shown that the solution of the periodic shell model converges weakly to the solution of the homogenized model when the period tends to zero.
ISSN:0374-3535
1573-2681
DOI:10.1007/BF00041306