20.500.12556/RUL-180557 First order finite element formulations for third medium contact Third medium contact can be applied in situations where large deformations occur and self-contact is possible. This specific discretization technique has the advantage that the inequality constraint, inherent in contact formulations, is circumvented. The approach has several applications, like soft robotic or topology optimization. Recent approaches have been explored, using the gradient of the deformation measure to improve algorithmic performance. However, these methods typically require quadrilateral or hexahedral finite elements with quadratic shape functions, adding to their complexity. Also, the computation of second order gradients using quadratic triangular or tetrahedral elements does not lead to reasonable results since these gradients are constant at element level. In this paper, we apply a new regularization technique to triangular and tetrahedral finite elements of lowest ansatz order that approximates the gradient computations and thus reduces computational complexity. frictionless contact finite deformations finite elements hyperelasticity kontaktni problemi velike deformacije končni elementi hiperelastičnost true false true Angleški jezik Slovenski jezik Članek v reviji 2026-03-11 10:08:01 2026-03-11 10:08:08 2026-03-12 04:44:52 0000-00-00 00:00:00 2025 0 0 Str. 829–845 Vol. 76 Sep. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.62:539.3 0178-7675 10.1007/s00466-025-02628-y 271228163 Wriggers,_Korelc,_Junker-First_order_finite_element_formulations_for_third_medium_contact.pdf Wriggers,_Korelc,_Junker-First_order_finite_element_formulations_for_third_medium_contact.pdf 1 A475E987C16CDF60FFC7A231A5F80FC4 5e15d7f95b1dcb358ee3f1c62a96e775a7bbc7dd0d2b5eaa07536d2d5fd3b257 2c018424-1d2a-11f1-82e4-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230015 https://link.springer.com/article/10.1007/s00466-025-02628-y 1 d5e6c91d-1d29-11f1-82e4-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230014 Fakulteta za gradbeništvo in geodezijo 0 0 0