Low Velocity Normal Impact Performance of Functionally Graded Conical Shell with Simple Power Law

Das, Apurba; Singha, Tripuresh Deb; Karmakar, Amit

doi:10.1016/j.matpr.2019.03.035

Cited by 8 publications

(3 citation statements)

References 15 publications

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“…14 Multiple analytical studies in the energy and nuclear sector were carried out on parts like T-junction pipes, conical shells, and turbomachinery blades. [108][109][110][111][112][113] There has been a spike in FGM usage in biomedical applications in the past few years because of its ability to provide excellent biocompatibility. Table 2 shows the overview of the application in different areas.…”

Section: Functionally Graded Materials Applicationsmentioning

confidence: 99%

Functionally graded materials: A review of computational materials science algorithms, production techniques, and their biomedical applications

Panchal

Ponappa

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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Functionally graded materials (FGMs) are specially designed composite materials that gradually change their material properties. This distinctive property of materials comes with new challenges in the design and manufacturing sector. For such challenges, the best options are material property computation and material modelling using different computational materials science (CMS) algorithms. This review paper provides enriched information on CMS with an overview of the available FGM production techniques with a detailed study of FGM use in biomedical applications based on the available literature over the past couple of decades.

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Section: Functionally Graded Materials Applicationsmentioning

confidence: 99%

Functionally graded materials: A review of computational materials science algorithms, production techniques, and their biomedical applications

Panchal

Ponappa

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The VDQ method was a weak formulation form for governing equations and then was discretized directly by using time differential operators and the arc-length continuation scheme. Das et al [3] used the modified Hertzian contact theory to study the time response of numerical results in the finite element method (FEM) for power law exponent materials Ti-6Al-4V-ZrO2. Shakouri [4] presented the Donnell's FSDT to investigate the vibration behavior in the thermal environment.…”

Section: Introductionmentioning

confidence: 99%

Thermal Vibration of Thick FGM Conical Shells by Using Third-Order Shear Deformation Theory

Hong

2024

Materials

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A time-dependent third-order shear deformation theory (TSDT) approach on the displacements of thick functionally graded material (FGM) conical shells under dynamic thermal vibration is studied. Dynamic equations of motion with TSDT for thick FGM conical shells are applied directly with the partial derivative of variable R*θ in the curve coordinates (x, θ, z) instead of y in the Cartesian coordinates (x, y, z) for thick FGM plates, where R* is the middle-surface radius at any point on conical shells. The generalized differential quadrature (GDQ) numerical method is used to solve the dynamic differential equations in equilibrium matrix forms under thermal loads. It is the novelty of the current study to identify the parametric effects of shear correction coefficient, environment temperature, TSDT model, and FGM power law index on the displacements and stresses in the thick conical shells only subjected to sinusoidal heating loads. The physical parts with values on the length-to-thickness ratio equals 5, and 10 FGMs can be used in an area of an airplane engine that usually operates near more than 1000 K of temperatures when the thermal stress is considered and affected. The important findings of the presented study are listed as follows. The values of normal stress are in decreasing tendencies with time in cases when the coefficient c1 equals 0.925925/mm2 in TSDT and length-to-thickness ratio equals 5. The shear stress values in x plane z direction on the minor middle-surface radius (r) equals the major middle-surface radius (R) over 8 and length-to-thickness ratio equals to 5 can withstand T = 1000 K of pressure.

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“…The authors also included the modified indentation law in the FE formulation to evaluate the impact-induced contact force. Das et al 69,70 examined the dynamic behavior of perfect and porous FGM conical shells subjected to impact loading using FEM. The FE formulation was developed on the basis of the kinematics condition of FSDT to model the pre-twisted conical shell.…”

Section: Introductionmentioning

confidence: 99%

Transient response of pre-twisted FG-GRC sandwich conical shell subjected to low-velocity impact in thermal environment

Singha

Bandyopadhyay

Karmakar

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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A finite element method-based dynamic analysis of pre-twisted sandwich conical shell panel having functionally graded graphene-reinforced composite (FG-GRC) facings and homogenous core without or with pores under low-velocity impact in thermal environments is performed utilizing a higher-order shear deformation theory (HSDT). In each facing, the graphene sheets are either uniformly dispersed or layer-wise functionally graded across its thickness. The extended Halpin-Tsai model is employed to estimate the temperature-dependent elastic properties of the nanocomposite facings. The contact force induced between the impactor and target panel is computed through the modified Hertzian contact law. The equations of motion of the FG-GRC sandwich conical shell panel are formulated based on Lagrange’s equation. The solutions of the resulting equations of motion are obtained employing Newmark’s time integration scheme. After verifying the consistency and accurateness of the present method, the effects of some critical parameters like graphene grading profile, temperature, core-to-facings thickness ratio, pre-twist angle, span-to-cone length ratio, impactor’s initial velocity, impactor’s size, and porosity coefficient on the impact response of the pre-twisted FG-GRC sandwich conical shell panel in uniform thermal environments are scrutinized.

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Low Velocity Normal Impact Performance of Functionally Graded Conical Shell with Simple Power Law

Cited by 8 publications

References 15 publications

Functionally graded materials: A review of computational materials science algorithms, production techniques, and their biomedical applications

Functionally graded materials: A review of computational materials science algorithms, production techniques, and their biomedical applications

Thermal Vibration of Thick FGM Conical Shells by Using Third-Order Shear Deformation Theory

Transient response of pre-twisted FG-GRC sandwich conical shell subjected to low-velocity impact in thermal environment

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