HAL: hal-00601541, version 1

DOI: 10.1016/j.cma.2010.07.004

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Computer Methods in Applied Mechanics and Engineering 199, 49-52 (2010) 3336-3344

An iterative method for the Cauchy problem in linear elasticity with fading regularization effect

Franck Delvare 1, Alain Cimetière 2, Jean-luc Hanus 1, Patrice Bailly 1

(2010)

In this paper, an iterative method for solving the Cauchy problem in linear elasticity is introduced. This problem consists in recovering missing data (displacements and forces) on some parts of a domain boundary from the knowledge of overspecified data (displacements and forces) on the remaining parts. The algorithm reads as a least square fitting of the given data, with a regularization term whose effect fades as the iterations go on. So the algorithm converges to the solution of the Cauchy problem. Numerical simulations using the finite element method highlight the algorithm's efficiency, accuracy, robustness to noisy data as well as its ability to deblur noisy data.

1:	Laboratoire PRISME (PRISME)
	Université d'Orléans : EA4229 – ENSI Bourges
2:	Laboratoire de métallurgie physique (LMP)
	CNRS : UMR6630 – Université de Poitiers

Subject

:

Physics/Mechanics/Mechanics of the solides Engineering Sciences/Mechanics/Mechanics of the solides

Keyword(s): Cauchy problem – Inverse problem – Data completion – Linear elasticity – Regularization – Boundary conditions

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From: Franck Delvare <>

Submitted on: Monday, 20 June 2011 14:22:14

Updated on: Thursday, 23 June 2011 12:04:10