Thermo-elasto-plastic analysis of thick-walled cylinder made of functionally graded materials using successive approximation method

Saeedi, Soheil; Kholdi, Mohsen; Loghman, Abbas; Ashrafi, H.; Arefi, Mohammad

doi:10.1016/j.ijpvp.2021.104481

Cited by 21 publications

(6 citation statements)

References 71 publications

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“…In 2022, Ramteke et al [4] presented a nonlinear eigen-frequency responses with the higher-order shear deformation theory (HSDT) of displacement models for porous FGM shell panel under thermal environment by using the finite element method (FEM). In 2021, Saeedi et al [5] applied differential quadrature (DQ) method to study the stresses distributions of thick FGM cylindrical shell with aluminum and silicon carbide under internal pressure and thermal loadings. In 2022, Gee and Hashemi [6] used the dynamic finite element (DFE) method to investigate the numerical results of natural frequencies for the FGM beams.…”

Section: Introductionmentioning

confidence: 99%

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Hong

2024

Preprint

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The thick functionally graded material (FGM) circular cylindrical shells with advanced varied shear correction coefficient and third-order shear deformation theory (TSDT) under advanced thermal vibration are studied by the method of generalized differential quadrature (GDQ). The coefficient of displacement model of TSDT is applied to derive the equations of motion for the thick FGM circular cylindrical shells. The stiffness in simpler forms of thick FGM circular cylindrical shells and temperature rise in linear expression of the heat conduction equation are used. The differential equations in dynamic equilibrium state of thick FGM circular cylindrical shells can be obtained and rewritten into displacements and shear rotations in partial derivative expressions under dynamic thermal loads in partial derivative expressions. Parametric effect studies including advanced nonlinear varied shear correction coefficient, nonlinear coefficient c1 value, power law index and thermal temperature difference of external heating loads on the displacements and stresses of thick FGM cylindrical shells under thermal dynamic vibration are investigated.

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Section: Introductionmentioning

confidence: 99%

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Hong

2024

Preprint

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“…In this context, internally and/or externally pressurized annular disks made of functionally graded materials and their elastic state stresses have been studied with closed-form [3][4][5] and finite element solutions [6]. Pressurized cylinders and tubes at the elastic-plastic state are topics of previous examinations [7][8][9]. In a recent study, both exact and finite element solutions on the functionally graded disk have been compared [10].…”

Section: Introductionmentioning

confidence: 99%

“…In a recent study, both exact and finite element solutions on the functionally graded disk have been compared [10]. In the scientific literature, there are studies that consider graded cylinders subjected to not only pressure loads but also thermal [8,11] or magnetic fields [12]. Investigations concerning functionally graded pressure vessels under different loading conditions are also present, which are cylindrical [13][14][15] and spherical [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Comprehensive elastic analysis of functionally graded variable thickness pressurized disk

2023

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This study analytically examines internally pressurized power‐law functionally graded variable thickness disk. The power‐law consideration is applied to the Young's modulus and the Poisson's ratio of the graded material as well as the radial thickness profile variation of the disk. Under this scheme, the solution yields to different Bessel functions including the first, second, and modified types. Stress and displacement fields are investigated at the elastic limits by operating with these functions. The limits are calculated with the well‐known von Mises criteria. Following the analytical modeling, numerical examples are built. Therein the examples, some noteworthy nuances have been achieved. It has been observed that unlike the usual prediction in the literature, constant Poisson's ratio, the effect of variable Poisson's ratio on stresses and displacements is still evident, although not as much as variable Young's modulus and disk geometry. We suggest assigning it as a variable in similar applications to be more precise. Additionally, according to the von Mises criterion, yielding may begin at the inner radius, the outer radius, or both at the same time. Parameters in the simultaneous flow initiation state are critical. These parameters allow the disk to reach the highest elastic limit pressure.

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“…Zhang et al [ 10 ] developed the micromechanical model with experimental validation to predict the elastoplastic response of FGM manufactured by the vibration sedimentation process. Saeedi et al [ 11 ] investigated the thermo-elastoplastic response of a thick FG cylindrical shell under internal pressure and temperature gradient by using the successive approximation method and differential quadrature method. Liu et al [ 12 ] used a mesh-free reproducing kernel particle and penalty methods to study the elastoplastic behavior of the 2D structure with FGM composition.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic Indentation Response of Sigmoid/Power Functionally Graded Ceramics Structures

et al. 2022

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Due to the applicability of new advanced functionally graded materials (FGMs) in numerous tribological systems, this manuscript aims to present computational and empirical indentation models to investigate the elastoplastic response of FG substrate under an indention process with spherical rigid punch. The spatial variation of the ceramic volume fraction through the specimen thickness is portrayed using the power law and sigmoid functions. The effective properties of two-constituent FGM are evaluated by employing a modified Tamura–Tomota–Ozawa (TTO) model. Bilinear hardening behavior is considered in the analysis. The finite element procedure is developed to predict the contact pressure, horizontal displacement, vertical deformation, and permanent deformation of FG structure under the rigid cylindrical indentation. The empirical forms for permanent deformation were evaluated and assigned. Model validation with experimental works was considered. The convergence of the mesh and solution procedure was checked. Numerical studies were performed to illustrate the influence of gradation function, gradation index, and indentation parameters on the contact pressure, von Mises stresses, horizontal/vertical displacements, and permanent plastic deformation. The present model can help engineers and designers in the selection of an optimum gradation function and gradation index based on their applications.

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Thermo-elasto-plastic analysis of thick-walled cylinder made of functionally graded materials using successive approximation method

Cited by 21 publications

References 71 publications

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Advanced Dynamic Thermal Vibration of Thick FGM Cylindrical Shells

Comprehensive elastic analysis of functionally graded variable thickness pressurized disk

Elastoplastic Indentation Response of Sigmoid/Power Functionally Graded Ceramics Structures

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