NONLINEAR BENDING OF BIDIRECTIONAL FUNCTIONALLY GRADED SHALLOW ARCHES UNDER UNIFORMLY DISTRIBUTED LOADING
25TH INTERNATIONAL ISTANBUL SCIENTIFIC RESEARCH CONGRESS ON LIFE, ENGINEERING, ARCHITECTURE AND MATHEMATICAL SCIENCES, İstanbul, Türkiye, 23 - 25 Mayıs 2026, ss.1352-1353, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.1352-1353
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
The present study examines the nonlinear bending behavior of shallow circular arches composed of bidirectional functionally graded materials subjected to uniformly distributed vertical loading. In contrast to conventional functionally graded arches with one-dimensional material variation, the material properties are assumed to vary continuously both along the arch axis and through the thickness, enabling a smooth transition from metal-rich to ceramic-rich regions in two independent directions. The arches are considered within the shallow range and are pinned at both ends in order to focus specifically on nonlinear bending behavior. The geometric nonlinearity is incorporated through the von Kármán strain–displacement relations, and the structural modeling is established based on Euler-Bernoulli beam theory. The nonlinear governing equations and associated boundary conditions are established through the principle of virtual work. The resulting nonlinear differential system is discretized using the generalized differential quadrature method, which transforms the governing equations into a set of nonlinear algebraic equations at discrete collocation points. The nonlinear load–displacement response along the equilibrium path is obtained using an arc-length continuation procedure capable of accurately tracing highly nonlinear behavior. Numerical investigations are carried out to examine the influence of bidirectional material gradation on the structural stiffness. The results demonstrate that the combined axial and through-thickness material variation significantly alters the structural stiffness and nonlinear load–displacement response of the arches compared with conventional homogeneous or one dimensional functionally graded configurations. It is further observed that the nonlinear response is highly sensitive to the adopted material gradation pattern as well as to the shallowness and thickness parameters of the arch. The study provides a computational framework for the nonlinear bending analysis of bidirectional functionally graded shallow arches and clarifies the influence of multidirectional material gradation on their nonlinear bending response. The presented results can support the design and analysis of advanced functionally graded arch structures.