This paper is devoted to the asymptotic analysis of the problem of linear elasticity for an anisotropic and inhomogeneous body occupying, in its reference configuration, a cylindrical domain with a rectangular cross section with sides proportional to ε and ε^2 and clamped on one of its bases. The sequence of solutions uε of the equilibrium problem is shown to converge in an appropriate topology, as ε goes to zero, to the solution of a problem for a beam in which the extensional, flexural, and torsional effects are all coupled together.
Anisotropic inhomogeneous rectangular thin-walled beams
FREDDI, Lorenzo;
2009-01-01
Abstract
This paper is devoted to the asymptotic analysis of the problem of linear elasticity for an anisotropic and inhomogeneous body occupying, in its reference configuration, a cylindrical domain with a rectangular cross section with sides proportional to ε and ε^2 and clamped on one of its bases. The sequence of solutions uε of the equilibrium problem is shown to converge in an appropriate topology, as ε goes to zero, to the solution of a problem for a beam in which the extensional, flexural, and torsional effects are all coupled together.File in questo prodotto:
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