34 citations · 63 across the 31 of their papers we have counts for
3 papers · 1 filter
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…
On the Optimal Control of a Linear Peridynamics Model
Tadele Mengesha, Abner J. Salgado, Joshua M. Siktar
We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our problem, we investigate…
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…