Using Hyperbolic Shear Deformation Theory for Study and Analysis, the Thermal Bending of Functionally Graded Sandwich Plate Properties

Author(s): Bendahane Khaled, Bouguenina Otbi, Mokaddem Allel*, Doumi Bendouma, Belakhdar Khalil.

Journal Name: Recent Patents on Mechanical Engineering

Volume 12 , Issue 4 , 2019

Become EABM
Become Reviewer


Background: Several studies and patents have been carried out on the realization and optimization of structures and structural elements subjected to several-weights-critical-applications. Among the structures optimized in engineering, there are sandwich structures that are mainly used to react under these conditions.

Objective: In this article, we have investigated the thermal bending response of simply supported Functionally Graded Sandwich Plate (FGSP).

Methods: Using simple Hyperbolic Shear Deformation Theory (HSDT). A type of FGSP with both functionally graded materiel FGM face and ceramic hard core are considered. Based on the principle of virtual work, the governing equations are derived and then these equations are solved via Navier procedure. Analytical solutions are obtained to predict the deflection, axial and shear stress of FGSP.

Results: To verify the efficiency of the present method a comparison with existing literature and patents results is employed. The influence of the plate aspect ratio, the relative thickness, the gradient index, the sandwich plate schemes, and the thermal loading conditions on the bending of FGSP are investigated.

Conclusion: A good agreement is obtained between present results and the existing literature solutions. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded sandwich plates. Various patents have been discussed.

Keywords: Analytical modeling, FG sandwich plate, Navier procedure, shear deformation theory, shear stress, thermal bending response.

Vinson JR. Sandwich structures. Appl Mech Rev 2001; 54(3): 201-14.
Vinson JR. Sandwich structures past, present, and future. In: Thomsen OT, Bozhevolnaya E, Lyckegaard A, Eds. Sandwich Structures 7: Advancing with Sandwich Structures and Materials. Springer, Dordrecht 2005; pp. 3-12.
Dean J, Fallah AS, Brown PM, Louca LA, Clyne TW. Energy absorption during projectile perforation of lightweight sandwich panels with metallic fibre cores. Compos Struct 2011; 93(3): 1089-95.
Kennedy SJ. Composite steel structural plastic sandwich plate systems US5778813. (1998).
Kennedy SJ. Structural sandwich plate members US9759247. (2011).
Hatanaka K, Matsuo S, Tsuchiya A. Sandwich structure and integrally formed article using the same, and methods for production thereof US9962904. (2018).
Thai HT, Nguyen TK, Vo TP, Lee J. Analysis of functionally graded sandwich plates using a new first-order shear deformation theory. Eur J Mech A, Solids 2014; 45: 211-25.
Dongdong L, Zongbai D, Huaizhi X. Thermomechanical bending analysis of functionally graded sandwich plates using four-variable refined plate theory. Compos, Part B Eng 2016; 106: 107-19.
Dongdong L, Zongbai D, Huaizhi X, Peng J. Bending analysis of sandwich plates with different face sheet materials and functionally graded soft core. Thin Wall Struct 2018; 122: 8-16.
Sypeck DJ. Highly vented truss wall honeycomb structures US9845600. (2017).
Wadley HN, Murty YV, Jones T, Gupta R, Burkins M. Hybrid periodic cellular material structures, systems, and methods for blast and ballistic protection US9921037. (2018).
Zhang Y, Kim JW, Thompson VP. Graded glass/ceramic/glass structures for damage resistant ceramic dental and orthopedic prostheses US8951597. (2015).
Oehler SD, Calkins FT. Sandwich composite with shape memory alloy core and method of making same US20160052226. (2016).
Hui-Shen H, Shi-Rong L. Postbuckling of sandwich plates with FGM face sheets and temperature-dependent properties. Compos, Part B Eng 2008; 39(2): 332-44.
Bennoun M, Houari MSA, Tounsi A. A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates. Mech Adv Mater Structures 2016; 23(4): 423-31.
Bessaim A, Houari MSA, Tounsi A, Mahmoud SR, Adda Bedia EA. A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets. J Sandw Struct Mater 2013; 15(6): 671-703.
Li Q, Iu VP, Kou KP. Three-dimensional vibration analysis of functionally graded material sandwich plates. J Sound Vibrat 2008; 311(1-2): 498-515.
Neves AMA, Ferriera AJM, Carrera E, Cinefra M, Roque CMC, Jorge RMN, et al. Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique. Compos, Part B Eng 2013; 44(1): 657-74.
Vu T-V, Curiel-Sosa JL, Bui TQ. A refined sin hyperbolic shear deformation theory for sandwich FG plates by enhanced meshfree with new correlation function. Int J Mech Mater Des 2018; 14: 23-9.
Van Do VN, Lee C-H. Numerical investigation on post-buckling behavior of FGM sandwich plates subjected to in-plane mechanical compression. Ocean Eng 2018; 170: 20-42.
Wang Z-X, Shen H-S. Nonlinear vibration of sandwich plates with FG-GRC face sheets in thermal environments. Compos Struct 2018; 192: 642-53.
Van Tung H. Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties. Compos Struct 2015; 131: 1028-39.
Zenkour AM. A comprehensive analysis of functionally graded sandwich plates: Part 1-Deflection and stresses. Int J Solids Struct 2005; 42(1819): 5224-42.
Mahmoudi A, Benyoucef S, Tounsi A, Benachour A, Adda Bedia EA, Mahmoud SR. A refined quasi-3D shear deformation theory for thermo-mechanical behavior of functionally graded sandwich plates on elastic foundations. J Sandw Struct Mater 2017; 21(6): 190-29.
Demirhan PA, Taskin V. Levy solution for bending analysis of functionally graded sandwich plates based on four variable plate theory. Compos Struct 2018; 177: 80-95.
Daikh AA, Megueni A. Thermal buckling analysis of functionally graded sandwich plates. J Therm Stresses 2018; 41(2): 139-59.
Houari MSA, Tounsi A, Anwar Bég O. Thermoelastic bending analysis of functionally graded sandwich plates using a new higher order shear and normal deformation theory. Int J Mech Sci 2013; 76: 102-11.
Tounsi A, Houari MSA, Benyoucef S, Adda Bedia EA. A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates. Aerosp Sci Technol 2013; 24: 209-20.
Mantari JL, Granados EV. Thermoelastic analysis of advanced sandwich plates based on a new quasi-3D hybrid type HSDT with 5 unknowns. Compos, Part B Eng 2015; 69: 317-34.
Lashkari MJ, Rahmani O. Bending analysis of sandwich plates with composite face sheets and compliance functionally graded syntactic foam core. Proc Inst Mech Eng C 2016; 230(20): 3606-30.
Shinde BM, Sayyad AS, Kawade AB. Thermal analysis of isotropic plates using hyperbolic shear deformation theory. Appl Comput Mech 2013; 7(2): 193-204.
Zenkour AM, Alghamdi NA. Thermoelastic bending analysis of functionally graded sandwich plates. J Mater Sci 2008; 43: 2574-89.
Do TV, Bui TQ, Yu TT, Pham DT, Nguyen CT. Role of material combination and new results of mechanical behavior for FG sandwich plates in thermal environment. J Comput Sci 2017; 21: 164-81.
Yin S, Hale JS, Yu T, Bui TQ, Bordas SP. Isogeometric locking-free plate element: A simple first order shear deformation theory for functionally graded plates. Compos Struct 2014; 118: 121-38.
Yu TT, Yin S, Bui TQ, Hirose S. A simple FSDT-based isogeometric analysis for geometrically nonlinear analysis of functionally graded plates. Finite Elem Anal Des 2015; 96: 1-10.
Vu TV, Nguyen NH, Khosravifard A, Hematiyan MR, Tanaka S, Bui TQ. A simple FSDT-based meshfree method for analysis of functionally graded plates. Eng Anal Bound Elem 2017; 79: 1-12.
Bui TQ, Van Do T, Ton LHT, Doan DH, Tanaka S, Pham DT, et al. On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory. Compos B-Eng 2016; 92: 218-41.
Yu T, Yin S, Bui TQ, Xia S, Tanaka S, Hirose S. NURBS-based isogeometric analysis of buckling and free vibration problems for laminated composites plates with complicated cutouts using a new simple FSDT theory and level set method. Thin Wall Struct 2016; 101: 141-56.

Rights & PermissionsPrintExport Cite as

Article Details

Year: 2019
Page: [326 - 338]
Pages: 13
DOI: 10.2174/2212797612666190723100635
Price: $25

Article Metrics

PDF: 8