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Combined Effect of Thickness Stretching and Temperature-Dependent Material Properties on Dynamic Behavior of Imperfect FG Beams Using Three Variable Quasi-3D Model

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Abstract

Purpose

The multi-step sequential infiltration technique or sintering process usually produces porosities in functionally graded structures. It is confirmed that the porosity significantly influences the static responses of FGM beams, but its influence on their thermodynamic response is still worth studying.

Methods

To highlight this influence, the dynamic behavior of simply-supported porous FG beams with effective temperature-dependent material properties is examined by using a novel integral three variable quasi-3D high-order shear deformation theory for the first time. Notably, different thermal gradients varying along the thickness are considered. The governing differential equations of motion have been established based on Hamilton’s principle and solved by employing the Navier-type closedform solution.

Results

The present theoretical results are validated with the existing literature, and excellent agreement is identified between the results. Besides, material temperature dependence, power-law index, porosity parameter, temperature rising, and slenderness ratio effects are discussed. Results show that dynamic behavior using temperature-dependent and independent material properties would produce different natural frequencies. With the rise of porosity, the natural frequency decreases significantly at high temperatures.

Conclusions

The beam with a higher slenderness ratio is more sensitive to the stretching effect. Finally, to improve the thermodynamic behavior of such structures, ceramic constituents with a lower thermal expansion coefficient would be recommended.

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Authors and Affiliations

  1. Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria

    Belgacem Mamen, Abdelhakim Bouhadra, Fouad Bourada, Mohamed Bourada & Abdelouahed Tounsi

  2. Civil Engineering Department, Faculty of Science & Technology, Abbes Laghrour University, Khenchela, Algeria

    Belgacem Mamen & Abdelhakim Bouhadra

  3. Département des Sciences et de la Technologie, Université de Tissemsilt, 38004, Ben Hamouda, Algeria

    Fouad Bourada

  4. YFL (Yonsei Frontier Lab), Yonsei University, Seoul, South Korea

    Abdelouahed Tounsi

  5. Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, Dhahran, 31261, Eastern Province, Saudi Arabia

    Abdelouahed Tounsi

  6. Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia

    Abdelouahed Tounsi

  7. GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia

    S. R. Mahmoud

  8. Department of Mathematics, Govt. College University Faisalabad, Faisalabad, 38000, Pakistan

    Muzamal Hussain

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  1. Belgacem Mamen
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  2. Abdelhakim Bouhadra
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  3. Fouad Bourada
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  4. Mohamed Bourada
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  5. Abdelouahed Tounsi
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Correspondence to Fouad Bourada.

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Mamen, B., Bouhadra, A., Bourada, F. et al. Combined Effect of Thickness Stretching and Temperature-Dependent Material Properties on Dynamic Behavior of Imperfect FG Beams Using Three Variable Quasi-3D Model. J. Vib. Eng. Technol. 11, 2309–2331 (2023). https://doi.org/10.1007/s42417-022-00704-8

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