Seminario del 2025

Giugno
10
2025
Ricardo H. Nochetto
Liquid Crystal Networks: A Challenge in Computational Science
nell'ambito della serie: SCUBE
analisi matematica
analisi numerica
interdisciplinare
Modeling, analysis and computation are three pillars of computational science. We discuss them within the context of liquid crystal networks (LCNs). These materials couple a nematic liquid crystal with a rubbery material. When actuated with heat or light, the interaction of the liquid crystal with the rubber creates complex shapes. Thin bodies of LCNs are natural candidates for soft robotics applications. We start from the classical 3D trace energy formula and derive a reduced 2D membrane energy as the formal asymptotic limit of vanishing thickness, including both stretching and bending energies, and characterize the zero energy deformations. We design a sound numerical method and discuss its Gamma convergence. We present computations showing the geometric effects that arise from liquid crystal defects as well as computations of nonisometric origami within and beyond theory. This work is joint with L. Bouck, G. Benavides, and S. Yang.
organizzato da: Davide Palitta, Michele Ruggeri, Valeria Simoncini
nell'ambito del Progetto P.R.I.N. PRIN2022_SIMONCINI 7PCCKZ - CUP J53D23003620006 del prof. Valeria Simoncini

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