ON THE ROLE OF THE INFLUENCE FUNCTION IN THE PERIDYNAMIC THEORY

被引：114
|
作者：
Seleson, Pablo [2 ]
Parks, Michael L. [1 ]
机构：
[1] Sandia Natl Labs, Albuquerque, NM 87185 USA
[2] Florida State Univ, Dept Comp Sci, Tallahassee, FL 32306 USA
来源：
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING | 2011年 / 9卷 / 06期
基金：
美国能源部;
关键词：
peridynamics; influence function; nonlocal; CONVERGENCE; MODELS;
D O I：
10.1615/IntJMultCompEng.2011002527
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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.
引用
收藏
页码：689 / 706
页数：18
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