Comparative Investigation of Deflection in a Bi-directional Curved Functionally Graded Porous Beam Using Unified Shear Deformation Theory

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Document Type : Research Article

Authors

1 Assistant Professor, Department of Mechanical Engineering, MLR Institute of Technology, Hyderabad.

2 Department of Chemical & Materials Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA), c/o Christiaan de Wet & Pioneer Avenue, Florida Campus 1710, Johannesburg, South Africa.

3 MLR Institute of Technology, Hyderabad

Abstract

The present study investigates the bending characteristics of a two-dimensional functionally graded curved porous beam using unified shear deformation theory (USDT), incorporating shear functions and a modified power law. This approach integrates potential energy, the neutral surface concept, and equilibrium equations to enhance accuracy. Various boundary conditions, such as simply supported (SS), clamped-supported (CS), clamped-clamped (CC), and clamped-free (CF), are employed in the analysis. A metal-ceramic functionally graded beam with both even and uneven porosity is modelled. The symmetrical material gradation ensures that the physical neutral surface aligns with the geometrical neutral surface, which is considered in the formulation. A displacement-based formulation and energy principles is adopted, providing a more comprehensive and precise analysis of the beams. This method accounts for higher-order shear deformation effects, eliminates the need for shear correction factors, and effectively manages the continuous variation of material properties in FGMs. Consequently, it leads to improved predictions of structural behavior, making USDT particularly valuable for advanced material applications. The Hamilton method is employed to derive equilibrium equations for the beams, which are subsequently solved using the Kuhn-Tucker conditions.

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Main Subjects

Mechanics of Advanced Composite Structures

Articles in Press, Accepted Manuscript
Available Online from 25 November 2025

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