DIFFERENTIAL GEOMETRY, CONTINUUM MECHANICS AND MATHEMATICAL PHYSICS Seminar

 

PROGRAM

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Plan rada Seminara diferencijalna geometrija, mehanika kontinuuma i matematička fizika za NOVEMBAR 2024.

Predavanja se mogu pratiti na daljinu preko stranice:
https://miteam.mi.sanu.ac.rs/call/oYNfp3gcxgzrMT9Go/wB38oLRq88hkaL9EwxxWUolYMDur6-R0Y8uXbloIbIy
Ukoliko želite da učestvujete u radu seminara ili da postavite pitanja na kraju predavanja, a još niste registrovani na miteam platformi Matematičkog instituta, možete se registrovati popunjavanjem forme:
https://miteam.mi.sanu.ac.rs/asset/7BnKD7p3xM7sCny4k
Arhiva snimljenih predavanja se nalazi na stranici:
https://miteam.mi.sanu.ac.rs/asset/YNvstaSeP9v2tgqTP

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Petak, 22.11.2024. u 12:15, Pariske Komune bb, Niš i Live stream
Milan Cajić, Mathematical Institute SANU, Belgrade
TOPOLOGICALLY PROTECTED STATES IN LATTICES WITH BEYOND-NEAREST NEIGHBOUR COUPLING
Topologically protected states are well known to exist in classical one-dimensional periodic lattices, resulting in topological invariant winding number matching with the number of interface/edge states of the corresponding super-cell lattice system. This rule is no more valid in the case when beyond-nearest neighbour (BNN) coupling is introduced, which requires a different approach to investigate topological nature of such mechanical systems. Here we will focus on the investigation of non-trivial topological behaviour of locally resonant lattices with both springs and inerters as BNN coupling mechanical elements.

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Danilo Karličić, Mathematical Institute SANU, Belgrade
CAHN–HILLIARD DIFFUSION AND PHASE SEPARATION OF MAGNETO-ACTIVE HYDROGELS IN THE FINITE DEFORMATION REGIME
Magneto-active hydrogels are composed of a polymeric matrix embedded with magnetic particles, enabling functional actuation under external magnetic stimuli. In this study, we will develop a unified framework based on continuum thermodynamics and the principle of virtual power, which couples the Cahn-Hilliard type diffusion with large elastic deformations of magneto-active hydrogels. The presented multi-physical model will account the swelling, deswelling and phase separation caused by fluid constituent diffusion, giving rise to coexisting regions with different degrees of swelling. The proposed theoretical model can serve as a foundation for modelling more complex phenomena across a broad spectrum of soft materials, with applications in tissue engineering, drug delivery, and energy storage.
Zajednički sastanak sa seminarom Mechanics of Machines and Mechanisms - Models and Mathematical Methods.

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Petak, 29.11.2024. u 12:15, Pariske Komune bb, Niš i Live stream
Teodor Vrećica, Mathematical Institute SANU
VODENI TALASI - TEORIJA, MODELOVANJE I METODE MERENJA
Tokom ovog predavanja proći ću kroz više tema kojima sam se bavio tokom svog rada. Površinski vodeni talasi su ključni za razmenu fluksova između okeana i atmosfere, i utiču na konstrukcije u priobalnim područjima, eroziju plaža i plovidbu brodova. Da bi se razumeli u potpunosti, potrebno je povezati teoriju, modelovanje i merenja. Sa teorijske strane, oni mogu ispoljiti razne osobine u zavisnosti od spoljnih faktora (dubina vode, morske struje) i snage nonlinearnosti, i stoga se često koriste za ilustrovanje generalnih osobina talasa (na primer turbulencija talasa). U zavisnosti od veličine domena u kojima se talasi modeluju, deterministički ili stohastički pristupi se mogu primeniti. Merenja služe da pruže početne i granične uslove za modele, i raspon parametara za razvoj i verifikaciju teorije. Zajednički sastanak sa Odeljenjem za mehaniku.

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