Akademik Veri Yönetim Sistemi
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2024 (SCI-Expanded)
Curved beams are implemented in various engineering branches including aerospace, civil, or mechanical. These beams can be manufactured of functionally graded material (FGM) to fulfill the needs of advanced application areas. This research aims to examine the elastic limit state stresses of FGM circular curved beams subjected to pure bending. The analytical modeling procedure of the beam is based on the infinitesimal deformation theory of elasticity with the consideration of plane stress conditions. Additionally, power-law grading is taken into account as the material grading rule. Contrary to the general constant Poisson's ratio approach which is used to simplify the mathematical solution in the material modeling, herein, Poisson's ratio is assigned to be variable as the Young's modulus and the yield strength. In order to calculate the moment values that reach beams to the onset of yielding, the von Mises criterion is utilized. Following the analytical solution which takes three different forms, one is the general solution and the other two are the special cases, numerical examples are presented. Therein, it is observed that yielding may commence at the inner, outer, or both surfaces of the curved beam simultaneously according to the material grading parameter. For the purpose of validating the numerical examples, some results have been compared using commercial finite element analysis (FEA) software. It is observed that both the analytical and FEA results match with each other in an acceptable difference.