Hygro-thermo-mechanical based bending analysis of symmetric and unsymmetric power-law, exponential and sigmoidal FG sandwich beams

References

• A. Garg and H. D. Chalak, A review on analysis of laminated composite and sandwich structures under hygrothermal conditions, Thin-Walled Struct., vol. 142, pp. 205–226, 2019. DOI: 10.1016/j.tws.2019.05.005.
   Web of Science ®Google Scholar
• A. S. Sayyad and Y. M. Ghugal, On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results, Compos Struct., vol. 129, pp. 177–201, 2015. DOI: 10.1016/j.compstruct.2015.04.007.
   Web of Science ®Google Scholar
• R. K. Kapania, A review on the analysis of laminated shells, J. Press Vessel Technol., vol. 111, no. 2, pp. 88–96, 1989. DOI: 10.1115/1.3265662.
   Web of Science ®Google Scholar
• A. Garg and H. D. Chalak, Analysis of non-skew and skew laminated composite and sandwich plates under hygro-thermo-mechanical conditions including transverse stress variations, J. Sandw. Struct. Mater., pp. 109963622093278, 2020. DOI: 10.1177/1099636220932782.
   Web of Science ®Google Scholar
• M. Patni, S. Minera, R.M.J. Groh, A. Pirrera, P.M. Weaver, Three-dimensional stress analysis for laminated composite and sandwich structures, Compos. Part B Eng., vol. 155, pp. 299–328, 2018. DOI: 10.1016/j.compositesb.2018.08.127.
   Web of Science ®Google Scholar
• R. Sharma, V. K. Jadon, and B. Singh, A review on the finite element methods for heat conduction in functionally graded materials, J. Inst. Eng. Ser. C, vol. 96, pp. 73–81, 2015. DOI: 10.1007/s40032-014-0125-1.
   Google Scholar
• B. V. Sankar, An elasticity solution for functionally graded beams, Compos. Sci. Technol., vol. 61, no. 5, pp. 689–696, 2001. DOI: 10.1016/S0266-3538(01)00007-0.
   Web of Science ®Google Scholar
• S. Venkataraman and B. V. Sankar, Elasticity solution for stresses in a sandwich beam with functionally graded core, AIAA J., vol. 41, no. 12, pp. 2501–2505, 2003. DOI: 10.2514/2.6853.
   Google Scholar
• S. Venkataraman and B. Sankar, 2001. Analysis of sandwich beams with functionally graded core, In: 19th AIAA Applied Aerodynamics Conference, American Institute of Aeronautics and Astronautics, Reston, Virigina DOI: 10.2514/6.2001-1281.
   Google Scholar
• G. H. Rahimi and A. R. Davoodinik, Thermal behavior analysis of the functionally graded Timoshenko’s beam, IUST Int. J. Eng. Sci., vol. 19, no. 1–5, pp. 105–113, 2008. https://www.sid.ir/en/journal/ViewPaper.aspx?id=167162.
   Google Scholar
• H.-T. Thai, T.-K. Nguyen, T. P. Vo, and J. Lee, Analysis of functionally graded sandwich plates using a new first-order shear deformation theory, Eur. J. Mech. A/Solids, vol. 45, pp. 211–225, 2014. DOI: 10.1016/j.euromechsol.2013.12.008.
   Web of Science ®Google Scholar
• L. S. Ma and D. W. Lee, Exact solutions for nonlinear static responses of a shear deformable FGM beam under an in-plane thermal loading, Eur. J. Mech. A/Solids, vol. 31, no. 1, pp. 13–20, 2012. DOI: 10.1016/j.euromechsol.2011.06.016.
   Web of Science ®Google Scholar
• L. S. Ma and D. W. Lee, A further discussion of nonlinear mechanical behavior for FGM beams under in-plane thermal loading, Compos. Struct., vol. 93, no. 2, pp. 831–842, 2011. DOI: 10.1016/j.compstruct.2010.07.011.
   Web of Science ®Google Scholar
• P. F. Pai, A new look at shear correction factors and warping functions of anisotropic laminates, Int. J. Solids Struct., vol. 32, no. 16, pp. 2295–2313, 1995. DOI: 10.1016/0020-7683(94)00258-X.
   Web of Science ®Google Scholar
• M. Filippi, E. Carrera, and A. M. Zenkour, Static analyses of FGM beams by various theories and finite elements, Compos. Part B Eng., vol. 72, pp. 1–9, 2015. DOI: 10.1016/j.compositesb.2014.12.004.
   Web of Science ®Google Scholar
• A. Bouadi, A. A. Bousahla, M. S. A. Houari, H. Heireche and A. Tounsi, A new nonlocal HSDT for analysis of stability of single layer graphene sheet, Adv. Nano Res., vol. 6, pp. 147–162, 2018. DOI: 10.12989/anr.2018.6.2.147.
   Web of Science ®Google Scholar
• A. Menasria, A. Bouhadra, A. Tounsi, A. A. Bousahla and S. R. Mahmoud, A new and simple HSDT for thermal stability analysis of FG sandwich plates, Steel Compos. Struct., 2017. DOI: 10.12989/scs.2017.25.2.157.
   Web of Science ®Google Scholar
• A. M. Zenkour and M. H. Aljadani, Mechanical buckling of functionally graded plates using a refined higher-order shear and normal deformation plate theory, Adv. Aircraft Spacecraft Sci., vol. 5, no. 6, pp. 615–632, 2018. DOI: 10.12989/aas.2018.5.6.615.
   Web of Science ®Google Scholar
• M. Bouazza and A. M. Zenkour, Vibration of carbon nanotube-reinforced plates via refined nth-higher-order theory, Arch. Appl. Mech., vol. 90, no. 8, pp. 1755–1769, 2020. DOI: 10.1007/s00419-020-01694-3.
   Web of Science ®Google Scholar
• M. Bouazza and A. M. Zenkour, Hygrothermal environmental effect on free vibration of laminated plates using nth-order shear deformation theory, Waves Random Complex Media, 2021. DOI: 10.1080/17455030.2021.1909173.
   Web of Science ®Google Scholar
• L. C. Trinh, T. P. Vo, A. I. Osofero, and J. Lee, Fundamental frequency analysis of functionally graded sandwich beams based on the state space approach, Compos Struct., vol. 156, pp. 263–275, 2016. DOI: 10.1016/j.compstruct.2015.11.010.
   Web of Science ®Google Scholar
• A. I. Osofero, T. P. Vo, T. K. Nguyen, and J. Lee, Analytical solution for vibration and buckling of functionally graded sandwich beams using various quasi-3D theories, J. Sandwich Struct. Mater., vol. 18, no. 1, pp. 3–29, 2016. DOI: 10.1177/1099636215582217.
   Web of Science ®Google Scholar
• T.-K. Nguyen and B.-D. Nguyen, A new higher-order shear deformation theory for static, buckling and free vibration analysis of functionally graded sandwich beams, J. Sandwich Struct. Mater., vol. 17, no. 6, pp. 613–631, 2015. DOI: 10.1177/1099636215589237.
   Web of Science ®Google Scholar
• T. T. Tran, N. H. Nguyen, T. V. Do, P. V. Minh and N. D. Duc, Bending and thermal buckling of unsymmetric functionally graded sandwich beams in high-temperature environment based on a new third-order shear deformation theory, J. Sandwich Struct. Mater., pp. 109963621984926, 2019. DOI: 10.1177/1099636219849268.
   Web of Science ®Google Scholar
• P.V. Thuc, H. T. Thai, T. K. Nguyen, F. Inam and J. Lee, Static behaviour of functionally graded sandwich beams using a quasi-3D theory, Compos. Part B Eng., 2015. DOI: 10.1016/j.compositesb.2014.08.030.
   Web of Science ®Google Scholar
• M. Bouazza, N. Benseddiq, and A. M. Zenkour, Thermal buckling analysis of laminated composite beams using hyperbolic refined shear deformation theory, J Therm. Stresses, vol. 42, no. 3, pp. 332–340, 2019. DOI: 10.1080/01495739.2018.1461042.
   Web of Science ®Google Scholar
• M. Sobhy and A. M. Zenkour, Porosity and inhomogeneity effects on the buckling and vibration of double-FGM nanoplates via a quasi-3D refined theory, Compos. Struct., vol. 220, pp. 289–303, 2019. DOI: 10.1016/j.compstruct.2019.03.096.
   Web of Science ®Google Scholar
• A. M. Zenkour, Quasi-3D refined theory for functionally graded porous plates: Displacements and stresses, Phys. Mesomech., vol. 23, no. 1, pp. 39–53, 2020. DOI: 10.1134/S1029959920010051.
   Web of Science ®Google Scholar
• M. Bouazza and A. M. Zenkour, Hygro-thermo-mechanical buckling of laminated beam using hyperbolic refined shear deformation theory, Compos. Struct., vol. 252, pp. 112689, 2020. DOI: 10.1016/j.compstruct.2020.112689.
   Web of Science ®Google Scholar
• A. M. Zenkour and M. H. Aljadani, Buckling analysis of actuated functionally graded piezoelectric plates via a quasi-3D refined theory, Mech. Mater., vol. 151, pp. 103632, 2020. DOI: 10.1016/j.mechmat.2020.103632.
   Web of Science ®Google Scholar
• M. Sobhy and A. M. Zenkour, Wave propagation in magneto-porosity FG bi-layer nanoplates based on a novel quasi-3D refined plate theory, Waves Random Complex Media, pp. 1–21, 2019. DOI: 10.1080/17455030.2019.1634853.
   Web of Science ®Google Scholar
• O. Belarbi, M. S. A. Houari, A. A. Daikh, A. Garg, T. Merzouki, H. D. Chalak and H. Hirane, Nonlocal finite element model for the bending and buckling analysis of functionally graded nanobeams using a novel shear deformation theory, Comp Struct., vol. 264, pp. 113712, 2021. DOI: 10.1016/j.compstruct.2021.113712.
   Google Scholar
• A. S. Sayyad and P. V. Avhad, On static bending, elastic buckling and free vibration analysis of symmetric functionally graded sandwich beams, J. Solid Mech., vol. 11, pp. 166–180, 2019. DOI: 10.22034/JSM.2019.664227.
   Google Scholar
• A. S. Sayyad and Y. M. Ghugal, Modeling and analysis of functionally graded sandwich beams: a review, Mech. Adv. Mater. Struct., vol. 26, no. 21, pp. 1776–1795, 2019. DOI: 10.1080/15376494.2018.1447178.
   Web of Science ®Google Scholar
• D. K. Jha, T. Kant, and R. K. Singh, A critical review of recent research on functionally graded plates, Compos Struct., vol. 96, pp. 833–849, 2013. DOI: 10.1016/j.compstruct.2012.09.001.
   Web of Science ®Google Scholar
• K. M. Liew, X. Zhao, and A. J. M. Ferreira, A review of meshless methods for laminated and functionally graded plates and shells, Compos Struct., vol. 93, no. 8, pp. 2031–2041, 2011. DOI: 10.1016/j.compstruct.2011.02.018.
   Web of Science ®Google Scholar
• A. K. Noor, and M. Malik, Assessment of five modeling approaches for thermo-mechanical stress analysis of laminated composite panels, Comput Mech., vol. 25, no. 1, pp. 43–58, 2000. DOI: 10.1007/s004660050014.
   Web of Science ®Google Scholar
• I. Kreja, A literature review on computational models for laminated composite and sandwich panels, Cent Eur J Eng., vol. 1, pp. 59–80, 2011. DOI: 10.2478/s13531-011-0005-x.
   Google Scholar
• K. Swaminathan, D. T. Naveenkumar, A. M. Zenkour, and E. Carrera, Stress, vibration and buckling analyses of FGM plates-A state-of-the-art review, Compos Struct., vol. 120, pp. 10–31, 2015. DOI: 10.1016/j.compstruct.2014.09.070.
   Web of Science ®Google Scholar
• M. F. Caliri, A. J. M. Ferreira, and V. Tita, A review on plate and shell theories for laminated and sandwich structures highlighting the Finite Element Method, Compos Struct., vol. 156, pp. 63–77, 2016. DOI: 10.1016/j.compstruct.2016.02.036.
   Web of Science ®Google Scholar
• A. M. Zenkour, A quasi-3D refined theory for functionally graded single-layered and sandwich plates with porosities, Compos Struct., vol. 201, pp. 38–48, 2018. DOI: 10.1016/j.compstruct.2018.05.147.
   Web of Science ®Google Scholar
• A. Garg, M. O. Belarbi, H. D. Chalak, and A. Chakrabarti, A review of the analysis of sandwich FGM structures, Compos. Struct., vol. 258, pp. 113427, 2021. DOI: 10.1016/j.compstruct.2020.113427.
   Web of Science ®Google Scholar
• H. Hirane, M. O. Belarbi, M. S. A. Houari, and A. Tounsi, On the layerwise finite element formulation for static and free vibration analysis of functionally graded sandwich plates, Eng. Comput., 2021. DOI: 10.1007/s00366-020-01250-1.
   PubMed Web of Science ®Google Scholar
• M. O. Belarbi, A. Khechai, A. Bessaim, M. S. A. Houari, A. Garg, H. Hirane and H. D. Chalak, Finite element bending analysis of symmetric and non-symmetric functionally graded sandwich beams using a novel parabolic shear deformation theory, Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl., 2021. DOI: 10.1177/14644207211005096.
   Google Scholar
• A. Chakrabarti, H. D. Chalak, M. Ashraf, and A. Hamid, A new FE model based on higher order zigzag theory for the analysis of laminated sandwich beam with soft core, Compos Struct., vol. 93, no. 2, pp. 271–279, 2011. DOI: 10.1016/j.compstruct.2010.08.031.
   Web of Science ®Google Scholar
• A. H. Sheikh and A. Chakrabarti, A new plate bending element based on higher-order shear deformation theory for the analysis of composite plates, Finite Elem. Anal. Des., vol. 39, no. 9, pp. 883–903, 2003. DOI: 10.1016/S0168-874X(02)00137-3.
   Web of Science ®Google Scholar
• S. Pandey and S. Pradyumna, Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory, Eur. J. Mech. A/Solids, vol. 51, pp. 55–66, 2015. DOI: 10.1016/j.euromechsol.2014.12.001.
   Web of Science ®Google Scholar
• S. Pandey and S. Pradyumna, Analysis of functionally graded sandwich plates using a higher-order layerwise theory, Compos. Part B Eng., vol. 153, pp. 325–336, 2018. DOI: 10.1016/j.compositesb.2018.08.121.
   Web of Science ®Google Scholar
• M. O. Belarbi, T. Abdelouahab, O. Houdayfa, and B. Adel, Development of a 2D isoparametric finite element model based on the layerwise approach for the bending analysis of sandwich plates, Struct. Eng. Mech., vol. 57, no. 3, pp. 473–506, 2016. DOI: 10.12989/sem.2016.57.3.473.
   Web of Science ®Google Scholar
• M. O. Belarbi, A. M. Zenkour, A. Tati, S. J. Salami, A. Khechai, and M. S. A. Houari, An efficient eight‐node quadrilateral element for free vibration analysis of multilayer sandwich plates, Int. J. Numer. Methods Eng., vol. 122, no. 9, pp. 2360–2387, 2021. DOI: 10.1002/nme.6624.
   Web of Science ®Google Scholar
• H. D. Chalak, A. Chakrabarti, A. H. Sheikh, and M. A. Iqbal, C0 FE model based on HOZT for the analysis of laminated soft core skew sandwich plates: Bending and vibration, Appl Math Model., vol. 38, no. 4, pp. 1211–1223, 2014. DOI: 10.1016/j.apm.2013.08.005.
   Web of Science ®Google Scholar
• E. Carrera, Historical review of Zig-Zag theories for multilayered plates and shells, Appl. Mech. Rev., vol. 56, no. 3, pp. 287–308, 2003. DOI: 10.1115/1.1557614.
   Google Scholar
• A. M. A. Neves, A. J. M. Ferreira, E. Carrera, M. Cinefra R. M. N. Jorge and C. M. M. Soares, Static analysis of functionally graded sandwich plates according to a hyperbolic theory considering Zig-Zag and warping effects, Adv. Eng. Softw., vol. 52, pp. 30–43, 2012. DOI: 10.1016/j.advengsoft.2012.05.005.
   Web of Science ®Google Scholar
• A. M. A. Neves, A. J. M. Ferreira, E. Carrera, et al., Influence of zig-zag and warping effects on buckling of functionally graded sandwich plates according to sinusoidal shear deformation theories, Mech. Adv. Mater. Struct., vol. 24, no. 5, pp. 360–376, 2017. DOI: 10.1080/15376494.2016.1191095.
   Web of Science ®Google Scholar
• A. Garg, H. D. Chalak, and A. Chakrabarti, Bending analysis of functionally graded sandwich plates using HOZT including transverse displacement effects, Mech. Based Des. Struct. Mach., pp. 1–15, 2020. DOI: 10.1080/15397734.2020.1814157.
   Web of Science ®Google Scholar
• A. Garg, H. D. Chalak, and A. Chakrabarti, Comparative study on the bending of sandwich FGM beams made up of different material variation laws using refined layerwise theory, Mech. Mater., vol. 151, pp. 103634, 2020. DOI: 10.1016/j.mechmat.2020.103634.
   Web of Science ®Google Scholar
• A. K. Noor and W. S. Burton, Computational models for high-temperature multilayered composite plates and shells, Appl. Mech. Rev., vol. 45, no. 10, pp. 419–446, 1992. DOI: 10.1115/1.3119742.
   Google Scholar
• A. Garg and H. D. Chalak, Novel higher-order zigzag theory for analysis of laminated sandwich beams, Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl., vol. 235, no. 1, pp. 176–194, 2021. DOI: 10.1177/1464420720957045.
   Google Scholar
• N. B. A. Duy. Analysis of functionally graded sandwich beams under hygro-thermo-mechanical loads. Ho Chi Minh City University of Technology and Education, Vietnam, 2019.
   Google Scholar
• S. Kapuria, P. C. Dumir, and A. Ahmed, An efficient higher order zigzag theory for composite and sandwich beams subjected to thermal loading, Int. J. Solids Struct., vol. 40, no. 24, pp. 6613–6631, 2003. DOI: 10.1016/j.ijsolstr.2003.08.014.
   Web of Science ®Google Scholar
• A. M. Zenkour, A comprehensive analysis of functionally graded sandwich plates: Part 2—Buckling and free vibration, Int. J. Solids Struct., vol. 42, no. 18–19, pp. 5243–5258, 2005. DOI: 10.1016/j.ijsolstr.2005.02.016.
   Web of Science ®Google Scholar