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math.AP2025
Dimension reduction for a coupled electro-elastic saddle-point problem at finite strains
Kateryna Buryachenko, Annegret Glitzky, Matthias Liero +1
We study the finite deformation of a thin, elastically heterogeneous sheet subject to electrostatic coupling. The interaction between mechanics and electrostatics is formulated as…
math.AP2025
Derivation of the Reissner-Mindlin model from nonlinear elasticity
Tamara Fastovska, Janusz Ginster, Barbara Zwicknagl
We discuss how the Reissner-Mindlin plate model can be derived from three-dimensional finite elasticity in terms of -convergence. The presence of transverse shear effects in the…