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Elasticity on a Thin Shell: Formal Series Solution

Erwan Faou 1
1 ALADIN - Algorithms Adapted to Intensive Numerical Computing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
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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Submitted on : Tuesday, May 23, 2006 - 8:11:48 PM
Last modification on : Friday, February 4, 2022 - 3:25:02 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:59:58 PM


  • HAL Id : inria-00072239, version 1


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



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