64 citations · 146 across the 27 of their papers we have counts for
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Exact scaling exponents in Korn and Korn-type inequalities for cylindrical shells
Yury Grabovsky, Davit Harutyunyan
Understanding asymptotics of gradient components in relation to the symmetrized gradient is im- portant for the analysis of buckling of slender structures. For circular cylindrical…
Scaling laws and the rate of convergence in thin magnetic films
Davit Harutyunyan
We study static 180 degree domain walls in thin infinite magnetic films. We establish the scaling of the minimal energy by Γ-convergence and the energy minimizer pro-file, which tu…
New asymptotically sharp Korn and Korn-like inequalities in thin domains
Davit Harutyunyan
It is well known that Korn inequality plays a central role in the theory of linear elasticity. In the present work we prove new asymptotically sharp Korn and Korn-like inequalities…
Rigorous asymptotic analysis of buckling of thin-walled cylinders under axial compression
Yury Grabovsky, Davit Harutyunyan
Using rigorous constitutive linearization of second variation introduced in [6] we study weak stability of homogeneous deformation of the axially compressed circular cylindrical sh…