Automatic mesh refinement for soft tissue

Errors in biomechanical simulations arise from modelling and discretization. Discretization errors can be quantified with a posteriori error estimates. The relevance of such error estimates for practical biomechanics problems is rarely adressed. In this contribution, we propose an implementation of a posteriori error estimates targeting a user-defined quantity of interest, with the Dual Weighted Residual (DWR) technique tailored to biomechanics. We consider a general setting that encompasses three-dimensional geometries as well as model non-linearities, appearing in hyperelastic soft tissues. We take advantage of the capabilities of automatic differentiation embedded into modern finite element software, that allows to compute the error estimates generically for a large class of models and constitutive laws. First we validate our methodology using experimental measurements from silicone samples, and then illustrate its applicability for patient-specific computations of pressure ulcers on a human heel.

Domains

Biomechanics [physics.med-ph] Numerical Analysis [math.NA]

Fichier principal

MainManuscript.synctex.gz (154.57 Ko)

MainManuscript (1).pdf (2.67 Mo)

MainManuscript.pdf (2.67 Mo)

deformed_silicone.png (54.47 Ko)

dirichlet.png (46.3 Ko)

geometry.jpg (512.41 Ko)

heel_mesh_back_iter0.png (134.3 Ko)

heel_mesh_back_iter1.png (153.81 Ko)

heel_mesh_back_iter2.png (178.71 Ko)

heel_mesh_back_iter3.png (212.54 Ko)

heel_mesh_front_iter0.png (150.68 Ko)

heel_mesh_front_iter1.png (150.96 Ko)

heel_mesh_front_iter2.png (157.17 Ko)

heel_mesh_front_iter3.png (166.46 Ko)

heel_model.png (56.55 Ko)

initial_mesh.png (476.9 Ko)

neumann.png (32.91 Ko)

silicone_refine_mesh.png (326.9 Ko)

Origin : Files produced by the author(s)

Michel Duprez : Connect in order to contact the contributor

https://hal.science/hal-04208610

Submitted on : Friday, September 15, 2023-3:08:08 PM

Last modification on : Thursday, April 11, 2024-1:08:14 PM

Dates and versions

hal-04208610 , version 1 (15-09-2023)

hal-04208610 , version 2 (03-03-2024)

Identifiers

HAL Id : hal-04208610 , version 1

Cite

Michel Duprez, Franz Chouly, Pierre-Yves Rohan, Stéphane Pierre Alain Bordas, Marek Bucki, et al.. Automatic mesh refinement for soft tissue. 2023. ⟨hal-04208610v1⟩

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