MFS fading regularization method for the identification of boundary conditions from partial elastic displacement field data. Issue 5 (2nd November 2018)

• Record Type: Journal Article
• Authors: Caillé, L.; Hanus, J-L.; Delvare, F.; Michaux-Leblond, N.
• Is Part Of: Revue Européenne de mécanique numérique. Volume 27:Issue 5/6(2018)
• Page Start: 508
• Page End: 539
• Publication Date: 2018-11-02
• Subjects: Inverse problems -- regularization method -- method of fundamental solutions -- linear elasticity -- partial full-field measurements; Engineering mathematics -- Periodicals; Mechanics -- Data processing -- Periodicals; Finite element method -- Periodicals; Mechanics -- Mathematical models -- Periodicals; Engineering -- Statistical methods -- Periodicals; 621.05
• DOI: 10.1080/17797179.2018.1560843
• Languages: English
• ISSNs: 1779-7179

Abstract

ABSTRACT: A method is proposed to solve an inverse problem in two-dimensional linear isotropic elasticity. The inverse problem consists of the determination of both the entire displacement field and the boundary conditions inaccessible to the measurement from the partial knowledge of the displacement field. The algorithm is based on a fading regularization method (FRM) and is numerically implemented using the method of fundamental solutions (MFS). The inverse technique is first validated with synthetic data and is then applied to the interpretation of experimental measurements obtained by digital image correlation (DIC).