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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…
math.AP2013
The equations of elastostatics in a Riemannian manifold
Nastasia Grubic, Philippe G. LeFloch, Cristinel Mardare
To begin with, we identify the equations of elastostatics in a Riemannian manifold, which generalize those of classical elasticity in the three-dimensional Euclidean space. Our app…