Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions

Crack nucleation in a peridynamic solid

(2010) S. A. Silling et al.   INTERNATIONAL JOURNAL OF FRACTURE

Linearized Theory of Peridynamic States

(2010) S. A. Silling   JOURNAL OF ELASTICITY

A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems

(2010) Max Gunzburger et al.   MULTISCALE MODELING & SIMULATION

Peridynamics as an Upscaling of Molecular Dynamics

(2009) Pablo Seleson et al.   MULTISCALE MODELING & SIMULATION

On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces

(2009) Qiang Du et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?

(2009) Gilles Aubert et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Implementing peridynamics within a molecular dynamics code

(2008) Michael L. Parks et al.   COMPUTER PHYSICS COMMUNICATIONS

Convergence, adaptive refinement, and scaling in 1D peridynamics

(2008) Florin Bobaru et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Convergence of Peridynamics to Classical Elasticity Theory

(2008) S. A. Silling et al.   JOURNAL OF ELASTICITY

Force flux and the peridynamic stress tensor

(2007) R LEHOUCQ et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS