×

zbMATH — the first resource for mathematics

Thin inclusions in linear elasticity: A variational approach. (English) Zbl 0633.73021
The inclusion of a very thin layer of very rigid material into a given elastic body is considered from a variational point of view: as both thinness and rigidity increase, the approximating energies converge to the energy of a limit problem, which depends on the different speeds of thinness and rigidity. In particular, the classical equations for membranes, plates and shells are shown to derive from the system of three-dimensional linear elasticity.
Reviewer: E.Acerbi

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74E05 Inhomogeneity in solid mechanics
PDF BibTeX XML Cite
Full Text: DOI Crelle EuDML