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Wave propagation in bidirectional functionally graded tapered beams incorporating porosity effect.

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Title: Wave propagation in bidirectional functionally graded tapered beams incorporating porosity effect.
Authors: Taleb, Ouahiba1 (AUTHOR), Sekkal, Mohamed2,3 (AUTHOR), Bachir Bouiadjra, Rabbab3,4 (AUTHOR), Benyoucef, Samir3 (AUTHOR) samir.benyoucef@gmail.com, Tounsi, Abdelouahed5,6 (AUTHOR), M Selim, Mahmoud7 (AUTHOR), Khedher, Khaled Mohamed8 (AUTHOR)
Source: Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 2, p1045-1066. 22p.
Subjects: Virtual work, Phase velocity, Analytical solutions, Porosity, Functionally gradient materials, Theory of wave motion
Abstract: This study addresses wave propagation in beams made of bidirectional functionally graded materials (BDFG) and having nonuniform cross section by using a quasi-3D analytical solution. For the first time, this aspect will be studied. The mechanical characteristics of the beams are supposed to be variable in both axial and transvers direction according to a specific law depending on the porosity. The mathematical formulation used is based on a displacement field containing indeterminate terms and requiring a few variables to be determined. The thickness and width of the beams are assumed to be linearly variable in the longitudinal direction. The equations governing the simply supported beams are obtained by applying the principle of virtual work and are then analytically solved to obtain the phase velocities and wave frequencies. In addition, the validation results reveal excellent concordance of the proposed theory with those given in the literature. Then, a detailed parametric study is carried out to investigate the influence of the several geometrical and material parameters on the wave propagation in BDFG tapered beams. It is observed that these parameters have significant impact on the wave propagation in BDFG tapered porous beams. These results can be used as benchmark solutions for future studies. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: Wave propagation in bidirectional functionally graded tapered beams incorporating porosity effect.
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  Data: <searchLink fieldCode="AR" term="%22Taleb%2C+Ouahiba%22">Taleb, Ouahiba</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sekkal%2C+Mohamed%22">Sekkal, Mohamed</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Bachir+Bouiadjra%2C+Rabbab%22">Bachir Bouiadjra, Rabbab</searchLink><relatesTo>3,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Benyoucef%2C+Samir%22">Benyoucef, Samir</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> samir.benyoucef@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Tounsi%2C+Abdelouahed%22">Tounsi, Abdelouahed</searchLink><relatesTo>5,6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22M+Selim%2C+Mahmoud%22">M Selim, Mahmoud</searchLink><relatesTo>7</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Khedher%2C+Khaled+Mohamed%22">Khedher, Khaled Mohamed</searchLink><relatesTo>8</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+Based+Design+of+Structures+%26+Machines%22">Mechanics Based Design of Structures & Machines</searchLink>. 2025, Vol. 53 Issue 2, p1045-1066. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Virtual+work%22">Virtual work</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+velocity%22">Phase velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Porosity%22">Porosity</searchLink><br /><searchLink fieldCode="DE" term="%22Functionally+gradient+materials%22">Functionally gradient materials</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink>
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  Label: Abstract
  Group: Ab
  Data: This study addresses wave propagation in beams made of bidirectional functionally graded materials (BDFG) and having nonuniform cross section by using a quasi-3D analytical solution. For the first time, this aspect will be studied. The mechanical characteristics of the beams are supposed to be variable in both axial and transvers direction according to a specific law depending on the porosity. The mathematical formulation used is based on a displacement field containing indeterminate terms and requiring a few variables to be determined. The thickness and width of the beams are assumed to be linearly variable in the longitudinal direction. The equations governing the simply supported beams are obtained by applying the principle of virtual work and are then analytically solved to obtain the phase velocities and wave frequencies. In addition, the validation results reveal excellent concordance of the proposed theory with those given in the literature. Then, a detailed parametric study is carried out to investigate the influence of the several geometrical and material parameters on the wave propagation in BDFG tapered beams. It is observed that these parameters have significant impact on the wave propagation in BDFG tapered porous beams. These results can be used as benchmark solutions for future studies. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1080/15397734.2024.2378087
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      – Code: eng
        Text: English
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        PageCount: 22
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        Type: general
      – SubjectFull: Phase velocity
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Porosity
        Type: general
      – SubjectFull: Functionally gradient materials
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
    Titles:
      – TitleFull: Wave propagation in bidirectional functionally graded tapered beams incorporating porosity effect.
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            NameFull: Taleb, Ouahiba
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            NameFull: Sekkal, Mohamed
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            NameFull: Bachir Bouiadjra, Rabbab
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            NameFull: Benyoucef, Samir
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            NameFull: Tounsi, Abdelouahed
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            NameFull: M Selim, Mahmoud
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              Text: 2025
              Type: published
              Y: 2025
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              Value: 53
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