Investigation of fracture behaviour of one-dimensional functionally graded plates by using peridynamic theory


KAYA K., Olmus I., DÖRDÜNCÜ M.

JOURNAL OF THE FACULTY OF ENGINEERING AND ARCHITECTURE OF GAZI UNIVERSITY, cilt.38, sa.1, ss.319-329, 2023 (SCI-Expanded) identifier identifier identifier

Özet

Purpose: This study aims to investigate the influence of material distributions on the damage nucleation and propagation of one-dimensional functionally graded (FG) plates by using improved Ordinary State Based (OSB) PD formulation. Theory and Methods: Fracture behavior of one-dimensional FG plates is examined by employing OSB PD formulations. The present OSB PD formulation provides further improvement in the accuracy of the analysis with the elimination of correction factors available in the previous PD formulations. The smooth transition between the material layers in the FG plate is achieved through a power law method. The adaptive dynamic relaxation (ADR) method is employed for the quasi-static response of FG plates. Results: The influence of the material variations on the fracture behavior of the FG plates under displacement constraints is investigated in detail. The robustness of the present approach is demonstrated by monitoring the fracture behavior of the isotropic and FG plates. Conclusion: The improved OSB PD formulation can successfully capture the expected mixed-mode behavior of FG plates and their corresponding critical load levels. Elasticity modulus and fracture toughness play an important role on the fracture behavior of the FG plates. A faster crack propagation is observed with increasing the fracture toughness levels in the FG plates. Consequently, optimum structures under loading conditions can be achieved within the light of the FG concept.