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math.FA2026
Von Kármán theories for thin elastic shells subject to pressure
Trung Hieu Giang, Filippo Riva
The variational derivation of two-dimensional von Kármán shell energies from three-dimensional nonlinear elasticity is investigated in the presence of constant pressure loads. On t…
math.AP2026
Derivation of a linearly elastic elliptic membrane shell theory in the framework of magnetoelasticity
Trung Hieu Giang
Starting from a three-dimensional model of linearized magnetoelasticity, we investigate the asymptotic behavior of a thin shell as its thickness approaches zero. Our analysis focus…
math.AP2026
Nonlinear Kirchhoff--Love shell models derived from the Ciarlet--Geymonat energy: modelling and existence of minimizers
Ionel-Dumitrel Ghiba, Trung Hieu Giang, Catalina Ureche
Starting from a three-dimensional model based on the Ciarlet--Geymonat energy, we derive nonlinear shell models within the classical elasticity theory of compressible isotropic mat…