Bending examination of advanced generation of composite structures with specific properties exposed to different loads

  • Ahmed Zitouni Tissemsilt University, Department of Science and Technology, Mechanical Engineering Materials and Structures Laboratory, Tissemsilt, People's Democratic Republic of Algeria https://orcid.org/0000-0003-1627-6020
  • Bachir Bouderba Tissemsilt University, Department of Science and Technology, Mechanical Engineering Materials and Structures Laboratory, Tissemsilt, People's Democratic Republic of Algeria https://orcid.org/0000-0003-4668-122X
  • Abdelkader Dellal Tissemsilt University, Department of Science and Technology, Tissemsilt, People's Democratic Republic of Algeria https://orcid.org/0009-0003-2305-4845
  • Hamza Madjid Berrabah University of Relizane, Department of Civil Engineering, Mechanical Engineering Materials and Structures Laboratory, Relizane, People's Democratic Republic of Algeria https://orcid.org/0000-0002-7871-4017
Keywords: functionally graded materials, bending, higher-order shear deformation theories, thermomechanical

Abstract


Introduction/purpose: This article presents the bending examination of advanced-generation composite structures with specific properties exposed to different loads.

Methods: This paper thus proposes and introduces a new generalized five-variable shear strain theory for calculating the static response of functionally graded rectangular plates made of ceramic and metal. Notably, our theory eliminates the need for a shear correction factor and ensures zero-shear stress conditions on both the upper and lower surfaces. Numerical investigations are introduced to interpret the influences of loading conditions and variations of power of functionally graded material, modulus ratio, aspect ratio, and thickness ratio on the bending behavior of FGPs. These analyzes are then compared to the results available in the literature.

Results: Preliminary results include a comparative analysis with standard higher-order shear deformation theories (PSDPT, ESDPT, SSDPT), as well as Mindlin and Kirchhoff theories (FSDPT and CPT).

Conclusion: Our theory contributes alongside established theories in the field, providing valuable insights into the static thermomechanical response of functionally graded rectangular plates. This encompasses the influence of volume fraction exponent values on nondimensional displacements and stresses, the impact of aspect ratios on deflection, and the effects of the thermal field on deflection and stresses. Numerical examples of the bending examination of advanced-generation composite structures with specific properties exposed to different loads demonstrate the accuracy of the present theory.

References

Bao, G. & Wang, L. 1995. Multiple cracking in functionally graded ceramic/metal coatings. International Journal of Solids and Structures, 32(19), pp.2853-2871. Available at: https://doi.org/10.1016/0020-7683(94)00267-Z.

Benyamina, A.B., Bouderba, B. & Saoula, A. 2018. Bending response of composite material plates with specific properties, case of a typical FGM “Ceramic/Metal” in thermal environments. Periodica Polytechnica Civil Engineering, 62(4), pp.930-938. Available at: https://doi.org/10.3311/PPci.11891.

Berrabah, H.M. & Bouderba, B. 2023. Mechanical buckling analysis of functionally graded plates using an accurate shear deformation theory. Mechanics of Advanced Materials and Structures, 30(22), pp.4652-4662. Available at: https://doi.org/10.1080/15376494.2022.2102701.

Boggarapu, V., Gujjala, R., Ojha, S., Acharya, S., Venkateswara babu, P., Chowdary, S. & Gara, D.k. 2021. State of the art in functionally graded materials. Composite Structures, 262, pp.113596. Available at: https://doi.org/10.1016/j.compstruct.2021.113596.

Bouazza, M., Tounsi, A., Adda-Bedia, E.A. & Megueni, A. 2011. Thermal buckling of simply supported FGM square plates. Applied Mechanics and Materials, 61, pp.25-32. Available at: https://doi.org/10.4028/www.scientific.net/AMM.61.25.

Bouderba, B. & Benyamina, A. B. 2018. Static analysis of composite material plates "Case of a typical ceramic/metal FGM" in thermal environments. Journal of Materials and Engineering Structures, 5(1), pp.33-45 [online]. Available at: https://revue.ummto.dz/index.php/JMES/article/view/1606 [Accessed: 01. January 2024].

Bouderba, B. & Berrabah, H.M. 2022. Bending response of porous advanced composite plates under thermomechanical loads. Mechanics Based Design of Structures and Machines, 50(9), pp.3262-3282. Available at: https://doi.org/10.1080/15397734.2020.1801464.

Bouderba, B., Houari, M.S.A. & Tounsi, A. 2013. Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations. Steel and Composite Structures, 14(1), pp.85-104. Available at: https://doi.org/10.12989/scs.2013.14.1.085.

Bouderba, B., Houari, M.S.A., Tounsi, A. & Mahmoud, S.R. 2016. Thermal stability of functionally graded sandwich plates using a simple shear deformation theory. Structural Engineering and Mechanics, 58(3), pp.397-422. Available at: https://doi.org/10.12989/sem.2016.58.3.397.

Brischetto, S. & Carrera, E. 2010. Advanced mixed theories for bending analysis of functionally graded plates. Computers & Structures, 88(23-24), pp.1474-1483. Available at: https://doi.org/10.1016/j.compstruc.2008.04.004.

Brischetto, S., Leetsch, R., Carrera, E., Wallmersperger, T. & Kröplin, B. 2008. Thermo-mechanical bending of functionally graded plates. Journal of Thermal Stresses, 31(3), pp.286-308. Available at: https://doi.org/10.1080/01495730701876775.

Daikh, A.A., Bensaid, I. & Zenkour, A.M. 2020. Temperature dependent thermomechanical bending response of functionally graded sandwich plates. Engineering Research Express, 2(1), art.number:015006. Available at: https://doi.org/10.1088/2631-8695/ab638c.

Farrokh, M., Afzali, M. & Carrera, E. 2021. Mechanical and thermal buckling loads of rectangular FG plates by using higher-order unified formulation. Mechanics of Advanced Materials and Structures, 28(6), pp.608-617. Available at: https://doi.org/10.1080/15376494.2019.1578014.

Farrokh, M., Taheripur, M. & Carrera, E. 2022. Optimum distribution of materials for functionally graded rectangular plates considering thermal buckling. Composite Structures, 289, art.number:115401. Available at: https://doi.org/10.1016/j.compstruct.2022.115401.

Karama, M., Afaq, K. & Mistou, S. 2003. Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity. International Journal of solids and structures, 40(6), pp.1525-1546. Available at: https://doi.org/10.1016/S0020-7683(02)00647-9.

Kieback, B., Neubrand, A. & Riedel, H. 2003. Processing techniques for functionally graded materials. Materials Science and Engineering: A, 362(1-2), pp.81-106. Available at: https://doi.org/10.1016/S0921-5093(03)00578-1.

Koizumi, M. 1993. The concept of FGM, functionally graded materials. In: Ceramic transactions, 34, pp.3-10. Westerville: American Ceramic Society.

Koizumi, M. 1997. FGM activities in Japan. Composites part B: Engineering, 28(1-2), pp.1-4. Available at: https://doi.org/10.1016/S1359-8368(96)00016-9.

Koizumi, M. & Niino M. 1995. Overview of FGM research in Japan. MRS Bulletin, 20(1), pp.19-21. Available at: https://doi.org/10.1557/S0883769400048867.

Li, M., Guedes Soares, C. & Yan, R. 2020. A novel shear deformation theory for static analysis of functionally graded plates. Composite Structures, 250, art.number:112559. Available at: https://doi.org/10.1016/j.compstruct.2020.112559.

Mindlin, R.D. 1951. Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18(1), pp.31-38. Available at: https://doi.org/10.1115/1.4010217.

Pindera, M.-J., Aboudi, J. & Arnold, S.M. 1998. Thermomechanical analysis of functionally graded thermal barrier coatings with different microstructural scales. Journal of the American Ceramic Society, 81(6), pp.1525-1536. Available at: https://doi.org/10.1111/j.1151-2916.1998.tb02512.x.

Reddy, J.N. 1984. A simple higher-order theory for laminated composite plates. Journal of Applied Mechanics, 51(4), pp.745-752. Available at: https://doi.org/10.1115/1.3167719.

Reddy, J.N. 2000. Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering, 47(1-3), pp.663-684. Available at: https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8.

Reissner, E. 1945. The effect of transverse shear deformation on the bending of elastic plates. ASME Journal of Applied Mechanics, 12(2), pp.A69-A77. Available at: https://doi.org/10.1115/1.4009435.

Shinde, B.M., Sayyad, A.S. & Ghumare, S.M. 2015. A refined shear deformation theory for bending analysis of isotropic and orthotropic plates under various loading conditions. Journal of Materials and Engineering Structures «JMES», 2(1), pp.3-15 [online]. Available at: https://revue.ummto.dz/index.php/JMES/article/view/336 [Accessed: 01 January 2024],

Soldatos, K.P. 1992. A transverse shear deformation theory for homogeneous monoclinic plates. Acta Mechanica, 94(3-4), pp.195-220. Available at: https://doi.org/10.1007/BF01176650.

Timoshenko, S. & Woinowsky-Krieger, S. 1959. Theory of plates and shells, Second Edition. New York: McGraw-Hill. ISBN: 0-07-064779-8.

Touratier, M. 1991. An efficient standard plate theory. International journal of engineering science, 29(8), pp.901-916. Available at: https://doi.org/10.1016/0020-7225(91)90165-Y.

Zenkour, A. & Alghamdi, N.A. 2010. Bending analysis of functionally graded sandwich plates under the effect of mechanical and thermal loads. Mechanics of Advanced Materials and Structures, 17(6), pp.419-432. Available at: https://doi.org/10.1080/15376494.2010.483323.

Zenkour, A.M. & Hafed, Z.S. 2020. Bending analysis of functionally graded piezoelectric plates via quasi-3D trigonometric theory. Mechanics of Advanced Materials and Structures, 27(18), pp.1551-1562. Available at: https://doi.org/10.1080/15376494.2018.1516325.

Published
2024/03/05
Section
Original Scientific Papers