First order finite element formulations for third medium contact

Wriggers, Peter (avtor), Korelc, Jože (avtor), Junker, Ph. (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: frictionless contact, finite deformations, finite elements, hyperelasticity
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: Str. 829–845
• Številčenje: Vol. 76
• PID: 20.500.12556/RUL-180557
• UDK: 519.62:539.3
• ISSN pri članku: 0178-7675
• DOI: 10.1007/s00466-025-02628-y
• COBISS.SI-ID: 271228163
• Datum objave v RUL: 11.03.2026

Gradivo je del revije

• Naslov: Computational mechanics
• Skrajšan naslov: Comput. mech.
• Založnik: Springer Nature
• ISSN: 0178-7675
• COBISS.SI-ID: 6668037

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kontaktni problemi, velike deformacije, končni elementi, hiperelastičnost

Projekti

• Financer: Drugi - Drug financer ali več financerjev
• Program financ.: Deutsche Forschungsgemeinschaft
• Številka projekta: 390833453
• Naslov: PhoenixD: Photonics, Optics, and Engineering – Innovation Across Disciplines

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: P2-0158
• Naslov: Gradbene konstrukcije in gradbena fizika