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Reports (Research Report) Year : 2002

Elasticity on a Thin Shell: Formal Series Solution

Abstract

The three-dimensional equations of elasticity are posed on a domain of R^3 defining a thin shell of thickness 2ε. The traction free conditions are imposed on the upper and lower faces together with the clamped boundary conditions on the lateral boundary. After a scaling in the transverse variable, the elasticity operator admits a power series expansion in with intrinsic coefficients with respect to the mean surface of the shell. This leads to define a formal series problem in associated with the three-dimensional equations. The main result is the reduction of this problem to a formal series boundary value problem posed on the mean surface of the shell.
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Dates and versions

inria-00072239 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00072239 , version 1

Cite

Erwan Faou. Elasticity on a Thin Shell: Formal Series Solution. [Research Report] RR-4349, INRIA. 2002. ⟨inria-00072239⟩
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