@Article{cmes.2020.010804,
AUTHOR = {Zhenghao Yang, Erkan Oterkus, Selda Oterkus},
TITLE = {A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {124},
YEAR = {2020},
NUMBER = {2},
PAGES = {527--544},
URL = {http://www.techscience.com/CMES/v124n2/39536},
ISSN = {1526-1506},
ABSTRACT = {In this study, a new state-based peridynamic formulation is developed
for functionally graded Euler-Bernoulli beams. The equation of motion is
developed by using Lagrange’s equation and Taylor series. Both axial and transverse displacements are taken into account as degrees of freedom. Four different
boundary conditions are considered including pinned support-roller support,
pinned support-pinned support, clamped-clamped and clamped-free. Peridynamic results are compared against finite element analysis results for transverse
and axial deformations and a very good agreement is observed for all different
types of boundary conditions.},
DOI = {10.32604/cmes.2020.010804}
}