On the dynamic behavior of functionally graded cracked beams resting on
winkler foundation under moving load
Alaa A. Abdelrahman,Mohamed Ashry,Amal E. Alshorbagy,Mohamed A. Eltaher,Waleed S. Abdalla
Abstract
Although the excellent characteristics of functionally graded materials (FGMs) cracks could be found due to
manufacturing defects or extreme working conditions. The existence of these cracks may threaten the material or structural
strength, reliability, and lifetime. Due to high cost and restrictions offered by practical operational features these cracked
components couldn