Book chapter
Material Characterization in Pre-deformed Configurations: Equilibrium-Based Loss and Consistent Linearization
Computational Biomechanics for Medicine, pp.79-90
Lecture Notes in Bioengineering, Springer Nature Switzerland
2026
DOI: 10.1007/978-3-032-29494-4_7
Abstract
This article introduces a method for identifying material properties in a deformed configuration. The method relies on force equilibrium to derive the identification. Response variables in the loss function are consistently linearized in the parametric space, allowing the gradient of the loss function to be obtained exactly. A quasi-Newton scheme is employed to optimize the parameters. The exact Jacobian is recovered asymptotically, leading to a nearly quadratic rate of convergence. The method was tested using synthetic response data of a cerebral aneurysm, assumed regionally heterogeneous containing 109 material parameters. These parameters were identified from deformed geometries at diastolic and systolic pressures. The optimization completed in four iterations, with less than one minute of computation on a MacBook Pro. The test indicates that the method is both robust and efficient.
Details
- Title: Subtitle
- Material Characterization in Pre-deformed Configurations: Equilibrium-Based Loss and Consistent Linearization
- Creators
- Jia Lu - University of IowaFarshid Masoumi - University of Iowa
- Contributors
- Karol Miller (Editor)Adam Wittek (Editor)Magdalena Kobielarz (Editor)Anju R. Babu (Editor)
- Resource Type
- Book chapter
- Publication Details
- Computational Biomechanics for Medicine, pp.79-90
- Series
- Lecture Notes in Bioengineering
- DOI
- 10.1007/978-3-032-29494-4_7
- eISSN
- 2195-2728
- ISSN
- 2195-271X
- Publisher
- Springer Nature Switzerland; Cham
- Language
- English
- Date published
- 2026
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9985219316602771
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