TY - JOUR
T1 - Peridynamic modeling of diffusion by using finite element analysis
AU - Diyaroglu, Cagan
AU - Oterkus, Selda
AU - Oterkus, Erkan
AU - Madenci, Erdogan
N1 - © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
PY - 2017/11/30
Y1 - 2017/11/30
N2 - Diffusion modeling is essential in understanding many physical phenomena such as heat transfer, moisture concentration, electrical conductivity, etc. In the presence of material and geometric discontinuities, and non-local effects, a non-local continuum approach, named as peridynamics, can be advantageous over the traditional local approaches. Peridynamics is based on integro-differential equations without including any spatial derivatives. In general, these equations are solved numerically by employing meshless discretization techniques. Although fundamentally different, commercial finite element software can be a suitable platform for peridynamic simulations which may result in several computational benefits. Hence, this study presents the peridynamic diffusion modeling and implementation procedure in a widely used commercial finite element analysis software, ANSYS. The accuracy and capability of this approach is demonstrated by considering several benchmark problems.
AB - Diffusion modeling is essential in understanding many physical phenomena such as heat transfer, moisture concentration, electrical conductivity, etc. In the presence of material and geometric discontinuities, and non-local effects, a non-local continuum approach, named as peridynamics, can be advantageous over the traditional local approaches. Peridynamics is based on integro-differential equations without including any spatial derivatives. In general, these equations are solved numerically by employing meshless discretization techniques. Although fundamentally different, commercial finite element software can be a suitable platform for peridynamic simulations which may result in several computational benefits. Hence, this study presents the peridynamic diffusion modeling and implementation procedure in a widely used commercial finite element analysis software, ANSYS. The accuracy and capability of this approach is demonstrated by considering several benchmark problems.
KW - peridynamics
KW - finite element
KW - diffusion
KW - model
U2 - 10.1109/TCPMT.2017.2737522
DO - 10.1109/TCPMT.2017.2737522
M3 - Article
SN - 2156-3950
VL - 7
SP - 1823
EP - 1831
JO - IEEE Transactions on Components, Packaging and Manufacturing Technology
JF - IEEE Transactions on Components, Packaging and Manufacturing Technology
IS - 11
ER -