Analytical solutions for Static Analysis of Sandwich Cylindrical Shell containing functionally graded face sheets and functionally graded porosity core based on HSDT theory

Mourad, Chitour; Faicel, Khadraoui; Noureddine, Sid; Abdelhakim, Bouhadra; Abderrahmane, Menasria; Khelifa, Mansouri; A Elhak, Berkia; Moussa, Athmani.; Fernandes, Felipe; Abdelouahed, Tounsi

doi:10.22059/jcamech.2026.420974.1929

Analytical solutions for Static Analysis of Sandwich Cylindrical Shell containing functionally graded face sheets and functionally graded porosity core based on HSDT theory

Document Type : Research Paper

Authors

Chitour Mourad ¹ ^{, 2}

Khadraoui Faicel ¹

Sid Noureddine ¹ ^{, 2}

Bouhadra Abdelhakim ³ ^{, 4}

Menasria Abderrahmane ³ ^{, 4}

Mansouri Khelifa ¹ ^{, 2}

Berkia A Elhak ¹

Athmani. Moussa ¹

Felipe Fernandes ⁵ ^{, 6}

Tounsi Abdelouahed ⁷

¹ Faculty of Sciences & Technology, Mechanic Eng Department, University Abbes Laghrour, Khenchela 40000, Algeria

² Laboratory of Eng and Sciences of Advanced Materials (ISMA), Khenchela 40000, Algeria

³ Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour, Khenchela 40000, Algeria

⁴ Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, 22000 Algeria

⁵ University of Coimbra, CEMMPRE, ARISE, Department of Mechanical Engineering, Rua Luís Reis Santos, 3030-788, Coimbra, Portugal

⁶ CIDEM, ISEP, Polytechnic of Porto, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal

⁷ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

10.22059/jcamech.2026.420974.1929

Abstract

In this research, a new four-variable Shear Deformation Theory is utilised to investigate the bending behavior of Imperfect FG sandwich cylindrical shell that are exposed to a load that is distributed evenly. In this theory, the number of unknowns is reduced to four by employing an undefined integral. Furthermore, there is no requirement for any shear correction factor to be included in theory. Furthermore, it is believed that the effective constituent material properties of the top and lower layers of the FG sandwich cylindrical shell fluctuate smoothly and continuously only in the thickness direction. In contrast, the core layer made of porous material. The notion of virtual displacement is utilised to obtain the equations that control equilibrium for simply supported FGSCSs. By applying Navier's method to several different FGSCS schemas, they can derive their respective analytical solutions. A comparison is made between the results obtained and those of previously published research. Within the scope of this investigation, the power law index, side-to-thickness ratio, porosity distribution type and geometric ratio impact on the bending behavior were all taken into consideration.

Keywords

bending behavior

sandwich shells

Property Gradient Materials

Principle of virtual work

Navier's solution

Subjects

Composites

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