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math.AP2025
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…
math.AP2025
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…