0617916 20250320140147.420250311235959.9 85215927126 001398536700001 10.1142/S0218202525500010 38 s. P cav_un_epca*02572250218-2025351 (2025)1-38World Scientific Publishing non-interpenetration rod relaxation cav_un_auth*0293070 Benešová B. CZ cav_un_auth*0485039 Campbell D. CZ cav_un_auth*0255318 Hencl S. CZ cav_un_auth*0101142 Kružík Martin UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR 25 K Ústav teorie informace a automatizace AV ČR, v. v. i. https://library.utia.cas.cz/separaty/2025/MTR/kruzik-0617916.pdf https://www.worldscientific.com/doi/epdf/10.1142/S0218202525500010 8J23AT009 GA MŠk CZ cav_un_auth*0451788 8J22AT017 GA MŠk CZ cav_un_auth*0456541 GA23-04766S GA ČR CZ cav_un_auth*0459138 Ensuring non-interpenetration of matter is a fundamental prerequisite when modeling the deformation response of solid materials. In this contribution, we thoroughly examine how this requirement, equivalent to the injectivity of deformations within bulk structures, manifests itself in dimensional-reduction problems. Specifically, we focus on the case of rods embedded in a two-dimensional plane. Our results focus on Gamma-limits of energy functionals that enforce an admissible deformation to be a homeomorphism. These Gamma-limits are evaluated along a passage from the bulk configuration to the rod arrangement. The proofs rely on the equivalence between the weak and strong closures of the set of homeomorphisms from & Ropf, to & Ropf, (2), a result that is of independent interest and that we establish in this paper, too. 2026 BA WOS 10000 10100 10102 4 RVO:67985556 https://hdl.handle.net/11104/0364930 S C MATHEMATICS.APPLIED 3.1 1 9.8 0.00441 1.504 4590 97 1.991 54.86 3.02 741 Q1 2.500 63 Q1 94.3 1.81 Q1 94.3 2025 85215927126 SCOPUS PUBMED 001398536700001 WOS cav_un_epca*0257225 Mathematical Models and Methods in Applied Sciences Roč. 35 č. 1 2025 1 38 0218-2025 1793-6314 World Scientific Publishing