3 papers
math-ph2023
Asymptotic Analysis for the Eigenvalues of Peridynamic Operators
Bacim Alali, Nathan Albin, Thinh Dang
Explicit representations of the eigenvalues of the peridynamic operator have been recently derived in [5]. These representations are given in terms of generalized hypergeometric fu…
math.AP2014
Peridynamics and Material Interfaces
Bacim Alali, Max Gunzburger
The convergence of a peridynamic model for solid mechanics inside heterogeneous media in the limit of vanishing nonlocality is analyzed. It is shown that the operator of linear per…
math.AP2010
Multiscale Analysis of Heterogeneous Media in the Peridynamic Formulation
Bacim Alali, Robert Lipton
A methodology is presented for investigating the dynamics of heterogeneous media using the nonlocal continuum model given by the peridynamic formulation. The approach presented her…