7 papers
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…
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…
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…
Asymptotic behavior of a nonlinear shallow shell model when the shell becomes a plate
Trung Hieu Giang, Ngoc Quynh Nguyen
This paper studies a nonlinear shallow shell model proposed by Donnell, Vlasov, Mushtari, Galimov, and Koiter. More specifically, we address the question concerning the asymptotic…
An improved existence theorem for rigid nonlinearly elastic plates
Trung Hieu Giang, Cristinel Mardare
A plate is rigid if its admissible displacement fields inducing vanishing two-dimensional strain tensors must vanish. We prove that the nonlinear model of Kirchhoff-Love for such a…
On some Sobolev and Pólya-Szegö type inequalities with weights and applications
Trung Hieu Giang, Nguyen Minh Tri, Dang Anh Tuan
We are motivated by studying a boundary-value problem for a class of semilinear degenerate elliptic equations \begin{align}\tag{P}\label{P} \begin{cases} - Δ_x u - |x|^{2α} \dfrac{…
Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model
Trung Hieu Giang
A nonlinear shell model is studied in this paper. This is a nonlinear variant of the Budiansky-Sanders linear shell model. Under some suitable assumptions on the magnitude of the a…