Akademik Veri Yönetim Sistemi
MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, cilt.54, sa.1, 2026 (SCI-Expanded, Scopus)
This study presents a comprehensive quasi-three-dimensional (3D) theoretical formulation investigation into the static bending and stress analysis of advanced sandwich plates resting on an elastic foundation. The plate features a lightweight, homogeneous foam core sandwiched between two face sheets made of bidirectional functionally graded (BDFG) materials, where the material properties vary continuously along both the thickness and axial directions according to a power-law distribution. This sophisticated material design allows for tailored performance under multiphysical loads. A quasi-3D displacement field is employed that provides a more realistic representation of the plate's deformation, especially under moisture and temperature gradients. The governing equations and associated boundary conditions are rigorously derived using the principle of virtual work (PVW). The constitutive equations are obtained with the effects of moisture concentration and temperature rise. The resulting system of coupled partial differential equations is solved analytically for simply-supported plates using a Navier-type solution for the spatial domain. A detailed numerical analysis examines the influences of key parameters, including the BDFG power-law indices, foam core stiffness, foundation parameters, and hygro-thermal environmental conditions, on the non-dimensional deflections, in-plane stresses, and transverse shear/normal stresses. The results demonstrate that the BDFG gradation pattern, combined with the elastic foundation, offers significant control over the plate's structural response. This work establishes a reliable and efficient computational framework for the design and optimization of next-generation sandwich structures in severe hygro-thermal environments, such as those found in aerospace and marine engineering applications.