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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2017, Volume 58, Issue 2, Pages 193–201
DOI: https://doi.org/10.15372/PMTF20170221 (Mi pmtf739) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Elasticity solution for a cantilever beam with exponentially varying properties

S. Benguediaba, A. Tounsiab, H. H. Abdelazizac, M. A. A. Mezianec

a University of Sidi Bel Abbes, Sidi Bel Abbes, Algeria
b Algerian National Thematic Agency of Research in Science and Technology (ATRST), Algeria
c University Ibn Khaldoun, 14000, Tiaret, Algeria
Full-text PDF (254 kB) Citations (10)
DOI: https://doi.org/10.15372/PMTF20170221
Abstract: An analytical solution of a plane stress problem for a cantilever beam made of a functionally graded material subjected to uniform loading is constructed. The material is assumed to be isotropic with constant Poisson’s ratio and exponentially varying Young’s modulus through the beam thickness. Expressions for displacements, strains, and stresses are obtained.
Keywords: plane stress problem, stress function, exponential functionally graded material, analytical solution.
Funding agency Grant number
Algerian Academy of Sciences and Technology
University of Sidi-Bel-Abbes, Algeria
Received: 08.01.2015
Revised: 13.07.2015
English version:
Journal of Applied Mechanics and Technical Physics, 2017, Volume 58, Issue 2, Pages 354–361
DOI: https://doi.org/10.1134/S0021894417020213
Bibliographic databases:
Document Type: Article
UDC: 539.3; 539.5
Language: Russian
Citation: S. Benguediab, A. Tounsi, H. H. Abdelaziz, M. A. A. Meziane, “Elasticity solution for a cantilever beam with exponentially varying properties”, Prikl. Mekh. Tekh. Fiz., 58:2 (2017), 193–201; J. Appl. Mech. Tech. Phys., 58:2 (2017), 354–361
Citation in format AMSBIB
\Bibitem{BenTouAbd17}
\by S.~Benguediab, A.~Tounsi, H.~H.~Abdelaziz, M.~A.~A.~Meziane
\paper Elasticity solution for a cantilever beam with exponentially varying properties
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2017
\vol 58
\issue 2
\pages 193--201
\mathnet{http://mi.mathnet.ru/pmtf739}
\crossref{https://doi.org/10.15372/PMTF20170221}
\elib{https://elibrary.ru/item.asp?id=29009207}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2017
\vol 58
\issue 2
\pages 354--361
\crossref{https://doi.org/10.1134/S0021894417020213}
Linking options:
  • https://www.mathnet.ru/eng/pmtf739
  • https://www.mathnet.ru/eng/pmtf/v58/i2/p193
    • This publication is cited in the following 10 articles:
    1. Changwei Tang, Guansuo Dui, Yuyao Fu, “Elasticity solutions for functionally graded beams with arbitrary distributed loads”, Composite Structures, 351 (2025), 118578  crossref
    2. Stanislav Koval'chuk, Oleksii Goryk, Serhii Yakhin, Anatolii Antonets, “Exact Analytical Solution of the Problem of Elastic Bending of a Multilayer Beam with a Normal Trapezoidal Load”, KEM, 1005 (2024), 107  crossref
    3. Weihua Fang, Zhi Chen, Yepeng Xu, Ivan Giorgio, “Accurate Solution for Orthotropic Beams with Continuously Variable Cross Sections”, Mathematical Problems in Engineering, 2022 (2022), 1  crossref
    4. S B Koval'chuk, O V Goryk, “An analytical solution to the problem of thermoelastic bending of a multilayer beam with different temperature of longitudinal faces”, IOP Conf. Ser.: Mater. Sci. Eng., 1164:1 (2021), 012037  crossref
    5. S B Koval'chuk, O V Goryk, A V Antonets, “The problem of plane bending a direct composite beam of arbitrary cross-section and the prerequisites for its approximate analytical solution”, IOP Conf. Ser.: Mater. Sci. Eng., 1164:1 (2021), 012025  crossref
    6. İsa Çömez, Umit N. Aribas, Akif Kutlu, Mehmet H. Omurtag, “An Exact Elasticity Solution for Monoclinic Functionally Graded Beams”, Arab J Sci Eng, 46:5 (2021), 5135  crossref
    7. S. B. Koval'chuk, “Exact Solution of the Problem on Elastic Bending of the Segment of a Narrow Multilayer Beam by an Arbitrary Normal Load”, Mech Compos Mater, 56:1 (2020), 55  crossref
    8. Changchao Zhang, Daobing Chen, Shichao Niu, Junqiu Zhang, Xiancun Meng, Linpeng Liu, Tao Sun, Shifeng Wen, Yan Zhou, Yusheng Shi, Zhiwu Han, Luquan Ren, “High-aspect-ratio deflection transducers inspired by the ultra-sensitive cantilever configuration of scorpion trichobothria”, J. Mater. Chem. C, 8:18 (2020), 6093  crossref
    9. K. Bhaskar, Adarsh Ravindran, “Elasticity solution for orthotropic FGM plates with dissimilar stiffness coefficient variations”, Acta Mech, 230:3 (2019), 979  crossref
    10. Stanislav Koval'chuk, Alexey Goryk, “Exact Solution of the Problem of Elastic Bending of a Multilayer Beam under the Action of a Normal Uniform Load”, MSF, 968 (2019), 475  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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