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Dynamic analysis of FG porous nano-beams using HOSDT and various porosity and volume fraction models

Year: 2024

Type: article

Abstract: This study presents a comprehensive framework for analyzing the free vibration behavior of functionally graded (FG) porous nanobeams. A high-order shear deformation theory is employed to formulate the governing equations of motion, incorporating Eringen’s nonlocal differential constitutive relations within the context of a refined three-variable beam theory. The formulation captures small-scale effects through the length scale parameter and accounts for porosity distributions through various models, including uniform, non-uniform, logarithmic non-uniform, and mass-density-based approaches. Additionally, different volume fraction profiles, such as the power-law, Viola–Tornabene four-parameter, and trigonometric models, are considered to accurately represent the material gradation within the nanobeam. A parametric investigation is conducted to elucidate the influence of critical factors, including the nonlocal parameter, the material index, the length-to-thickness ratio, the porosity coefficient, and porosity distribution patterns, on the dynamic response of the nanobeam. The study provides valuable insights into the interplay between small-scale effects, material heterogeneity, and porosity, offering a comprehensive understanding of their collective impact on the vibration characteristics of FG porous nanobeams.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

DOI: 10.24423/aom.4621

Authors: Rebai, B., Messas, T., Hafed, Z.S., Zenkour, A.M.

Institutions: Abbès Laghrour University of Khenchela, King Khalid University, Kafrelsheikh University, King Abdulaziz University

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6964047306

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