34 citations · 63 across the 31 of their papers we have counts for
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math.AP2023★ 2 cited
Linearization and localization of nonconvex functionals motivated by nonlinear peridynamic models
Tadele Mengesha, James M. Scott
We consider a class of nonconvex energy functionals that lies in the framework of the peridynamics model of continuum mechanics. The energy densities are functions of a nonlocal st…
math.AP2023★ 1 cited
Fractional Korn's inequalities without boundary conditions
D. Harutyunyan, T. Mengesha, H. Mikayelyan +1
This work establishes fractional analogues of Korn's first and second inequalities for vector fields in fractional Sobolev spaces defined over a bounded domain. The validity of the…