Identification of material parameters and traction field for soft bodies in contact

Calibration; Contact; Hyper-elasticity; Inverse form; Large strains; Soft bodies; Contact tractions; Identification of material parameters; Inverse FORM; Optimization framework; Soft-bodies; Traction fields; Computational Mechanics; Mechanics of Materials; Mechanical Engineering; Computer Science Applications

Abstract :

[en] We provide an optimization framework that is capable of identifying the material parameters and contact traction field from two measured deformed geometries of a soft body in contact. The novelty of the framework is the idea of parametrizing the missing contact traction field and incorporating it into the inverse+forward hyper-elasticity formulation. We provide the continuum- and finite element formulation of the framework, as well as the direct differentiation method of sensitivity analysis to efficiently obtain necessary gradients for the BFGS optimizer. The correctness of the formulation and the excellent performance of the framework are confirmed by a series of benchmark numerical examples.

Disciplines :

Mechanical engineering
Engineering, computing & technology: Multidisciplinary, general & others
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others

Author, co-author :

LAVIGNE, Thomas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)

BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE) ; Visiting, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

LENGIEWICZ, Jakub ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE) ; Institute of Fundamental Technological Research, Polish Academy of Sciences (IPPT PAN), Warsaw, Poland

External co-authors :

yes

Language :

English

Title :

Identification of material parameters and traction field for soft bodies in contact

Publication date :

March 2023

Journal title :

Computer Methods in Applied Mechanics and Engineering

ISSN :

0045-7825

eISSN :

1879-2138

Publisher :

Elsevier B.V.

Volume :

406

Pages :

115889

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0045782523000129?httpAccept=text/xml

Funders :

Fonds National de la Recherche Luxembourg
Horizon 2020
Horizon 2020 Framework Programme
H2020 Marie Skłodowska-Curie Actions

Funding text :

This study was supported by the European Union's Horizon 2020 research and innovation program under grant agreement No. 811099, the Marie Skłodowska-Curie, Luxembourg grant agreement No. 764644, and the Fonds National de la Recherche (FNR), Luxembourg Project No. C20/MS/14782078/QuaC. JL would like to acknowledge the support from EU Horizon 2020 Marie Skłodowska Curie Individual Fellowship MOrPhEM under Grant 800150.This study was supported by the European Union’s Horizon 2020 research and innovation program under grant agreement No. 811099 , the Marie Skłodowska-Curie, Luxembourg grant agreement No. 764644 , and the Fonds National de la Recherche (FNR), Luxembourg Project No. C20/MS/14782078/QuaC. JL would like to acknowledge the support from EU Horizon 2020 Marie Skłodowska Curie Individual Fellowship MOrPhEM under Grant 800150 .

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