Journal article
Identifying hyperelastic material parameters using force balance and partial displacement data
International journal of solids and structures, Vol.313, 113283
05/01/2025
DOI: 10.1016/j.ijsolstr.2025.113283
Abstract
This article presents an inverse method for extracting constitutive parameters in hyperelastic materials from partial field displacement data. The work is motivated by applications in which some displacement data are unavailable or too noisy to use. The method is developed on the basis of finite element force balance, and can be readily interfaced with finite element program. The method is evaluated using simulated displacement data with added noise. Two-dimensional and three-dimensional test problems are introduced to collectively assess the sensitivity to noise level, tolerance to missing data, the feasibility identifying heterogeneous properties using surface data only, and the influence of using local force distribution versus using the force resultant. In addition, a cross-model analysis is conducted in some test problems to evaluate influence of material model. A novel scheme involving deep learning network is introduced to smooth the noised displacement and generate the input displacements for different meshes. The forward displacement computation is carried out only at the finest mesh level. The simulated displacements with added white noised is smoothed, and the ensuing displacement field is evaluated at coarse meshes to generate the input data for the coarse models. The tests showed that, up to 10% noise, method performed satisfactorily and robustly in all cases.
•The work addresses the practical issue of lack of full field displacement data and lack of information of local force distribution.•The formulation is based on finite element nodal force balance, and hence can be readily interfaced to finite element program.•A novel noise model mimicking real-world applications is presented.•The issue of tolerance to missing data is explored in an example motivated by DIC application.
Details
- Title: Subtitle
- Identifying hyperelastic material parameters using force balance and partial displacement data
- Creators
- Farshid Masoumi - University of IowaJia Lu - University of Iowa
- Resource Type
- Journal article
- Publication Details
- International journal of solids and structures, Vol.313, 113283
- Publisher
- Elsevier Ltd
- DOI
- 10.1016/j.ijsolstr.2025.113283
- ISSN
- 0020-7683
- eISSN
- 1879-2146
- Grant note
- U.S. Department of Education: P116S210005
The work was supported by the U.S. Department of Education grant #P116S210005.
- Language
- English
- Date published
- 05/01/2025
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984795477502771
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