NONLINEAR BENDING OF AXIALLY FUNCTIONALLY GRADED SHALLOW ARCHES WITH PINNED ENDS
MEETCON-WORLD, II. INTERNATIONAL MULTIDISCIPLINARY STUDIES CONGRESS, Adana, Turkey, 15 - 18 April 2026, vol.1, pp.108, (Summary Text)
- Publication Type: Conference Paper / Summary Text
- Volume: 1
- City: Adana
- Country: Turkey
- Page Numbers: pp.108
- Yıldız Technical University Affiliated: Yes
Abstract
This study investigates the nonlinear bending behavior of shallow arches with functionally graded material properties along the arch axis. The material properties are defined such that the Young’s modulus varies continuously from one end of the arch to the other. The material is assumed to be metallic at the left end and ceramic at the right end, with a smooth gradation in between. Both ends of the arch are considered as pinned supports. The geometry of the arch is selected to be shallow enough to isolate the nonlinear bending response and avoid buckling effects. The arch is subjected to a uniformly distributed vertical load. Geometric nonlinearity is accounted for within the framework of von Kármán strain assumptions, and the structural modeling is based on Euler–Bernoulli beam theory. The governing equilibrium equations and boundary conditions are derived using the principle of virtual work. The resulting differential equations are discretized using the generalized differential quadrature method. The nonlinear algebraic equation system is then solved via the arc-length method to obtain the load displacement response. The numerical results demonstrate that axial variation in material properties has a significant effect on the stiffness and overall bending behavior of the arch. These findings highlight the importance of considering material gradation along the arch axis in the design of shallow arches, as it can significantly affect their structural performance.