POROSITY EFFECTS ON NONLINEAR STATIC PERFORMANCES OF FUNCTIONALLY GRADED SHELLS CONSIDERING THICKNESS STRETCHING

Hanen Mallek, Hana Mellouli, Lotfi Ben Said, Mondher Wali, Fakhreddine Dammak, Muapper Alhadri

DOI Number
10.22190/FUME240920015M
First page
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Abstract


This study delves into the intriguing realm of nonlinear responses exhibited by porous functionally graded (FG) 3D shell structure. A power law approach is formulated to simulate the mechanical behavior of FG materials, considering two distinct porosity distributions. This approach provides a comprehensive exploration of porosity phenomena in FG materials. The finite element (FE) formulation is based on an improved first-order shear deformation theory (FSDT) with the inclusion of thickness stretching parameters. This improved theoretical framework provides a more accurate representation of the transverse shear stress distribution within the structure, capturing the complexities of its behavior under loading conditions. This research enriches understanding by integrating porosity into FG materials, whether distributed evenly or unevenly, thereby contributing to advancements in the field.


Keywords

Porous FGM, Thickness stretching, FE analyses, Porosity, Shell structure

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References


Hajlaoui, A., Dammak, F., 2022, A modified first shear deformation theory for three-dimensional thermal post-buckling analysis of FGM plates, Meccanica, 57(2), pp. 337-353.

Mallek, H., Jrad, H., Algahtani, A., Wali, M., Dammak, F., 2019, Geometrically non-linear analysis of FG-CNTRC shell structures with surface-bonded piezoelectric layers, Computer Methods in Applied Mechanics and Engineering, 347, pp. 679-699.

Mota, A. F., Loja, M. A. R., 2019, Mechanical behavior of porous functionally graded nanocomposite materials, Journal of Carbon Research C, 5(2), 34.

Zghal, S., Dammak, F., 2021, Buckling responses of porous structural components with gradient power-based and sigmoid material variations under different types of compression loads, Composite Structures, 273, 114313.

Wattanasakulpong, N., Prusty, B.G., Kelly, D.W., Hoffman, M., 2012, Free vibration analysis of layered functionally graded beams with experimental validation, Materials & Design (1980-2015), 36, pp. 182-190.

Wattanasakulpong, N., Ungbhakorn, V., 2014, Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities, Aerospace Science and Technology, 32(1), pp. 111-120.

Wattanasakulpong, N., Chaikittiratana, A., 2015, Flexural vibration of imperfect functionally graded beams based on Timoshenko beam theory: Chebyshev collocation method, Meccanica, 50, pp. 1331-1342.

Wang, Y., Wu, D., 2017, Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory, Aerospace Science and Technology, 66, pp. 83-91.

Nguyen, N. V., Nguyen-Xuan, H., Lee, D., Lee, J., 2020, A novel computational approach to functionally graded porous plates with graphene platelets reinforcement, Thin-Walled Structures, 150, pp. 106684.

Nguyen, N. V., Nguyen-Xuan, H., Lee, J., 2022, A quasi-three-dimensional isogeometric model for porous sandwich functionally graded plates reinforced with graphene nanoplatelets, Journal of Sandwich Structures & Materials, 24(2), pp. 825-859.

Thang, P. T., Nguyen-Thoi, T., Lee, D., Kang, J., Lee, J., 2018, Elastic buckling and free vibration analyses of porous-cellular plates with uniform and non-uniform porosity distributions, Aerospace science and technology, 79, pp. 278-287.

Amir, M., Talha, M., 2019, Nonlinear vibration characteristics of shear deformable functionally graded curved panels with porosity including temperature effects, International Journal of Pressure Vessels and Piping, 172, pp. 28-41.

Zghal, S., Dammak, F., 2021, Buckling responses of porous structural components with gradient power-based and sigmoid material variations under different types of compression loads, Composite Structures, 273, 114313.

Zghal, S., Dammak, F., 2021, Vibration characteristics of plates and shells with functionally graded pores imperfections using an enhanced finite shell element, Computers & Mathematics with Applications, 99, pp. 52-72.

Phuong, N.T.B., Tu, T.M., Phuong, H. T., Van Long, N., 2019, Bending analysis of functionally graded beam with porosities resting on elastic foundation based on neutral surface position, Journal of Science and Technology in Civil Engineering (JSTCE)-HUCE, 13(1), pp. 33-45.

Binh, C. T., Van Long, N., Tu, T. M., Minh, P. Q., 2021, Nonlinear vibration of functionally graded porous variable thickness toroidal shell segments surrounded by elastic medium including the thermal effect, Composite Structures, 255, 112891.

Milić P., Marinković D., Klinge S., Ćojbašić Ž., 2023, Reissner-Mindlin Based Isogeometric Finite Element Formulation for Piezoelectric Active Laminated Shells, Tehnicki Vjesnik, 30(2), pp. 416-425.

Rama G., Marinkovic D., Zehn M., 2018, High performance 3-node shell element for linear and geometrically nonlinear analysis of composite laminates, Composites Part B: Engineering, 151, pp. 118-126.

Abid, M., Koubaa, S., Abdelkefi, A., Frikha, A., Dammak, F., 2021, Numerical modeling of porous functionally graded shells response in large deflection, Computers & Mathematics with Applications, 104, pp. 59-70.

Simo, J. C., Rifai, M., 1990, A class of mixed assumed strain methods and the method of incompatible modes, International journal for numerical methods in engineering, 29(8), pp. 1595-1638.

Beheshti, A., Ramezani, S., 2015, Nonlinear finite element analysis of functionally graded structures by enhanced assumed strain shell elements, Applied Mathematical Modelling, 39(13), pp. 3690-3703.

Nguyen, N. V., Tran, K. Q., Lee, J., Nguyen-Xuan, H., 2024, Nonlocal strain gradient-based isogeometric analysis of graphene platelets-reinforced functionally graded triply periodic minimal surface nanoplates, Applied Mathematics and Computation, 466, 128461.

Tran, K. Q., Hoang, T. D., Lee, J., Nguyen-Xuan, H., 2024, Three novel computational modeling frameworks of 3D-printed graphene platelets reinforced functionally graded triply periodic minimal surface (GPLR-FG-TPMS) plates, Applied Mathematical Modelling, 126, pp. 667-697.

Fotiu, P. A., Murin, J., 2021, A novel GBT-formulation for thin-walled FGM-beam-structures based on a reference beam problem, Composite Structures, 257, 113158.

Wattanasakulpong, N., Ungbhakorn, V., 2013, Linear and nonlinear vibration analysis of elastically restrained ends FGM beams with porosities, Aero. Sci. Technol. 32, pp. 111–120.

Kugler, P. Fotiu, J. Murin, 2013, The numerical analysis of FME shells with enhanced finite elements, Engineering Structures, 49, pp. 920–935.

Mellouli, H., Mallek, H., Wali, M., Dammak, F., Gamaoun, F., Abdulrahman, A., 2022, An extensible double director 3D shell formulation for FGM-CNTRC shell bending analysis, Engineering Analysis with Boundary Elements, 145, pp. 258-270.

Tanov, R., Tabiei, A., 2000, A simple correction to the first-order shear deformation shell finite element formulations, Finite elements in analysis and design, 35(2), pp. 189-197.

Shi, G. , 2007, A new simple third-order shear deformation theory of plates, Int J Solids Struct, 44, pp. 4399-4417.

Simo, J.C., Rifai, M.S., Fox, D., 1990, On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching, Computer methods in applied mechanics and engineering, 81(1), pp. 91-126.

Bischoff, M., Ramm, E., 1997, Shear deformable shell elements for large strains and rotations, International Journal for Numerical Methods in Engineering, 40(23), pp. 4427-4449.

Hughes, T. J., Tezduyar, T., 1981, Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element, Journal of Applied Mechanics, pp. 587-596.

Dvorkin, E. N., Bathe, K. J., 1984, A continuum mechanics based four‐node shell element for general non‐linear analysis, Engineering computations, 1(1), pp. 77-88.

Mallek, H., Mellouli, H., Said, L.B., Wali, M., Dammak, F., Boujelbene, M., 2023, Bending and free vibration analyses of CNTRC shell structures considering agglomeration effects with through-the-thickness stretch, Thin-Walled Structures, 191, 111036.

Piltner, R., Joseph, D.S., 2001, A mixed finite element for plate bending with eight enhanced strain modes, Communications in numerical methods in engineering, 17(7), pp. 443-454.

Piltner, R., 1988, The application of a complex 3-dimensional elasticity solution representation for the analysis of a thick rectangular plate, Acta Mechanica, 75(1), pp. 77-91.

Nguyen, N.V., Nguyen, H.X., Lee, S., Nguyen-Xuan, H., 2018, Geometrically nonlinear polygonal finite element analysis of functionally graded porous plates, Advances in Engineering software, 126, pp. 110-126.


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ISSN: 2335-0164 (Online)

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