TY  - EJOU
AU  - Yang, Zhenghao 
AU  - Oterkus, Erkan 
AU  - Oterkus, Selda 

TI  - A State-Based Peridynamic Formulation for Functionally Graded Euler-Bernoulli Beams
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2020
VL  - 124
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - Peridynamics; Euler-Bernoulli beam; functionally graded; state-based

DO  - 10.32604/cmes.2020.010804