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Abstract
This work presents a Finite Element Model Updating inverse methodology for reconstructing heterogeneous materialdistributions based on an efficient isogeometric shell formulation. It uses nonlinear hyperelastic material models suitable fordescribing incompressible material behavior as well as initially curved shells. The material distribution is discretized by bilinearelements such that the nodal values are the design variables to be identified. Independent FE analysis and material discretization,as well as flexible incorporation of experimental data, offer high robustness and control. Three elementary test cases and oneapplication example, which exhibit large deformations and different challenges, are considered: uniaxial tension, pure bending,sheet inflation, and abdominal wall pressurization. Experiment-like results are generated from high-resolution simulations withthe subsequent addition of up to 4% noise. Local optimization based on the trust-region approach is used. The results showthat with a sufficient number of experimental measurements, design variables and analysis elements, the algorithm is capableto reconstruct material distributions with high precision even in the presence of large noise. The proposed formulation isvery general, facilitating its extension to other material models, optimization algorithms and meshing approaches. Adaptedmaterial discretizations allow for an efficient and accurate reconstruction of material discontinuities by avoiding overfitting dueto superfluous design variables. For increased computational efficiency, the analytical sensitivities and Jacobians are provided.
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.cma.2021.114442
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
no. 390,
ISSN: 0045-7825 - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- Borzeszkowski B., Lubowiecka I., Sauer R.: Nonlinear material identification of heterogeneous isogeometric Kirchhoff–Love shells// COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING -Vol. 390, (2022), s.114442-
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.cma.2021.114442
- Sources of funding:
- Verified by:
- Gdańsk University of Technology
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