Jul 2026· Vietnam Journal of Mechanics· 0 citations· 23 references
Abstract
This paper presents a static analysis of functionally graded porous (FGP) thin-walled beams based on higher-order shear deformation beam theory. The material properties are assumed to vary through the thickness of the thin-wall. Three porosity distribution models, namely uniform porosity distribution (UPD) and symmetric porosity distribution with stiffer (SPD-1) and softer at the surface (SPD-2), are considered. A mono-symmetrical thin-walled I-beam profile is analyzed under static loading conditions. The beam kinematics are formulated within the framework of higher-order thin-walled beam theory. The governing equations for the static problem are derived using Lagrange’s equations. Based on the Bézier approximation function, the Ritz method is employed to solve these equations. Additionally, the numerical results examine the effects of higher-order shear deformation, porosity coefficient, porosity distribution, and length-to-height ratio on the vertical displacement and twist angle of the beams. These outcomes aim to evaluate the model’s accuracy and establish benchmarks for future investigations.
Background/Aim: This study develops and verifies a finite-difference formulation for the linear buckling analysis of rectangular power-law functionally graded material (P-FGM) plates, based on first-order shear deformation theory (FSDT). The aim is to provide an accurate, computationally efficient numerical approach fo...
Khaled Benmahdi, Ali Meksi, Mohamed Sadoun et al.· Vojnotehnički Glasnik· 0 citations
This study presents an analytical formulation based on the inverse hyperbolic shear deformation theory (IHSDT), a non-polynomial higher-order shear deformation theory, for the static, buckling, and free vibration analyses of functionally graded graphene nanoplatelets reinforced composite (FG-GNPRC) plates. The IHSDT sa...
Sachin B. Jadhav, Rachit Panda, R. Sahoo· Proceedings of the Instituti...· 0 citations
To reduce the modeling effort and computational cost of assembled composite shear walls with C-shaped steel frames in global structural analysis, this study proposes an engineering-oriented simplified mechanical analysis method. Three representative specimens—a C-shaped steel-frame composite shear wall (CSCSW), a recta...
Xuan Mo, Dan Liang, Fali Guo et al.· Buildings· 0 citations
This study presents a static analysis of symmetrical laminated sandwich plates using gradient elasticity theory, focusing on the removal of stress singularities in both the face sheets and core layers, and on the size-dependent response evaluated in the face sheets. The finite element implementation of the adopted grad...
Ülkü H. Çalık-Karaköse, Aziz Mert Yavuz· Journal of engineering and a...· 0 citations
The free vibration analysis of a bidirectional functionally graded (2D-FG) curved structure with a through-thickness longitudinal central crack is performed in the current analysis. The model employs higher-order displacement theory for kinematics, taking into consideration both situations with even and uneven porosi...
Prashik Malhari Ramteke, K. Maitra, Hukum Chand Dewangan· International Journal of App...· 0 citations
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