Chapitre D'ouvrage Année : 2023

Inverse problems in the characterization of soft connective tissue: perspective for reproduction system

Résumé

In this chapter, we first review different situations in computational biomechanics where an inverse problem or an identification problem has to be solved. After this presentation, we present in details the finite-element model updating technique, which is traditionally used to solve inverse problems. We then present sequential methods based on the principle of Kalman filters, which can be very useful to solve inverse problems in dynamics. Finally, we present in details the virtual fields method which can be very useful and efficient in situations when full-field deformation measurements are available across the whole domain of interest of the tissue. The main objective of the chapter is to introduce the principles required to understand the theory of each family of inverse approach and to present these different methods under a unified framework. Eventually, research directions are proposed for the emerging field of pelvic biomechanics in combination with advanced imaging techniques.

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hal-04198493 , version 1 (07-09-2023)

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Stéphane Avril. Inverse problems in the characterization of soft connective tissue: perspective for reproduction system. Biomechanics of the Female Reproductive System: Breast and Pelvic Organs, Elsevier, pp.115-138, 2023, ⟨10.1016/B978-0-12-823403-7.00017-8⟩. ⟨hal-04198493⟩
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