Application of particle swarm optimization in inverse finite element modeling to determine the cornea´s mechanical behavior

Ricardo Magalhães, Ahmed Elsheikh, Philippe Büchler, Charles Whitford, Junjie Wang


Particle Swarm Optimization (PSO) was foregrounded by finite element (FE) modeling to predict the material properties of the human cornea through inverse analysis. Experimental displacements have been obtained for corneas of a donor approximately 50 years old, and loaded by intraocular pressure (IOP). FE inverse analysis based on PSO determined the material parameters of the corneas with reference to first-order, Ogden hyperelastic model. FE analysis was repeated while using the commonly-used commercial optimization software HEEDS, and the rates of the same material parameters were used to validate PSO outcome. In addition, the number of optimization iterations required for PSO and HEEDS were compared to assess the speed of conversion onto a global-optimum solution. Since PSO-based analyses produced similar results with little iteration to HEEDS inverse analyses, PSO capacity in controlling the inverse analysis process to determine the cornea material properties via finite element modeling was demonstrated.



inverse analysis; finite element method; swarm intelligence; hyperelastic parameters; human corneas.

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ISSN 1806-2563 (impresso) e ISSN 1807-8664 (on-line) e-mail:


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