Numerical solution of Cauchy problems in linear elasticity in axisymmetric situations

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:48

Article

Durand, Bastien^1,2  Delvare, Franck¹  Bailly, Patrice¹ 

[1] ENSI Bourges, Inst PRISME, F-18020 Bourges, France

[2] CEA, DAM, F-37260 Le Ripault, Monts, France

关键词: Cauchy problem;    Linear elasticity;    Inverse problem;    Regularization;    Data completion;    Boundary conditions;    Friction coefficient identification;   

DOI  :  10.1016/j.ijsolstr.2011.06.017

来源: Elsevier

【 摘 要 】

An iterative method for solving axisymmetric Cauchy problems in linear elasticity is presented. This kind of problem consists in recovering missing displacements and forces data on one part of a domain boundary from the knowledge of overspecified displacements and forces data on another part of this boundary. Numerical simulations using the finite element method highlight the algorithm's efficiency, accuracy and robustness to noisy data as well as its ability to deblur noisy data. An application of the inverse technique to the identification of a friction coefficient is also presented. (C) 2011 Elsevier Ltd. All rights reserved.

【 授权许可】

Free