20.500.12556/RUL-173158 Numerična simulacija tvorbe polipa zaradi sekundarne izgube stabilnosti rastočih filmov na mehkih viskoelastičnih podlagah Numerical simulation of the polyp formation due to secondary loss of stability in growing films on a soft viscoelastic substrates Za razumevanje kompleksnih biomehanskih mehanizmov, ki so vzrok za oblikovanje polipov v mehkih bioloških tkivih, smo analizirali relativno preprost prototipični primer gubanja rastočega tankega kolobarja (filma) na mehki viskoelastični podlagi. Ta primer smo obravnavali v programskem okolju FEniCS, ki vključuje tudi osnovne algoritme za reševanje parcialnih diferencialnih enačb, kot je Newton-Raphsonova metoda. Na podlagi izvedenih simulacij smo ugotovili, da na število gub in posledično število nastalih polipov vplivajo debelina tankega filma, notranji radij ter razmerje togosti podlage in filma. V nekaterih primerih pa smo opazili nepričakovane deformacijske oblike, ki jih ni mogoče predvideti na enostaven način, saj nastanejo zaradi nepojasnjenih preskokov sistema, ki so posledica nelinearne narave sistema zaradi geometrije in nelinearnega materialnega modela mehkih tkiv. To understand the complex biomechanical mechanisms that cause polyp formation in soft biological tissues, we performed an analysis of a relatively simple, prototypical example of wrinkling of a growing thin ring (film) on a soft viscoelastic substrate. We addressed this example in the FEniCS programming environment, which also includes basic algorithms for solving partial differential equations, such as the Newton-Raphson method. Based on the simulations performed, we found that the number of wrinkles, and consequently the number of resulting polyps, is influenced by the film's thickness, its inner radius, and the stiffness ratio between the substrate and the film. In some cases, however, we observed unexpected deformation shapes that cannot be easily predicted. These arise from unexplained jumps in the system, which are a consequence of the system's nonlinear nature due to its geometry and the nonlinear material model of soft tissues. numerična simulacija mehka tkiva gubanje polipi visko-hiperelastičnost viskoelastične podlage bifurkacija numerical simulation soft tissues buckling polyps visco-hyperelasticity viscoelastic substrates bifurcation true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2025-09-13 08:31:40 2025-09-13 08:31:42 2025-11-05 03:37:46 0000-00-00 00:00:00 2025 0 0 XVIII, 62 str. 2025 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2026-09-09 620.174:544.236.4:004.942(043.2) 276331 249475075 44107.pdf 44107.pdf 1 6BF708B32F8EFAD17E7EBCC7541BDC60 490508dbdf2e8e144ea8ef1f6cbbc6ab188b8673c1dbc8cd7d2d194527d80d3f 260718f2-906b-11f0-9328-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=217329 Fakulteta za strojništvo 0 0 0