%0 Journal Article %A Seleson , Pablo %A Parks, Michael %D 2011 %I Begell House %K peridynamics, in uence function, nonlocal %N 6 %P 689-706 %R 10.1615/IntJMultCompEng.2011002527 %T ON THE ROLE OF THE INFLUENCE FUNCTION IN THE PERIDYNAMIC THEORY %U https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,5dbda3444284ba35,0a8c180d218057a8.html %V 9 %X The influence function in the peridynamic theory is used to weight the contribution of all the bonds participating in the computation of volume-dependent properties. In this work, we use influence functions to establish relationships between bond-based and state-based peridynamic models. We also demonstrate how influence functions can be used to modulate nonlocal effects within a peridynamic model independently of the peridynamic horizon. We numerically explore the effects of influence functions by studying wave propagation in simple one-dimensional models and brittle fracture in three-dimensional models. %8 2011-11-11