Determination of Local Flexibility Coefficients of a Functionally Graded Shaft with Breathing Crack

Gayen, Debabrata; Chakraborty, Debabrata; Tiwari, Rajiv

doi:10.1007/978-981-15-5693-7_13

Cited by 7 publications

(1 citation statement)

References 26 publications

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“…By using a linear strain-displacement relations and steady-state Fourier equation of heat conduction, he solved analytically thermo-elastic equations to obtain displacement and stress fields as functions of radial distances, material gradient indices, and temperature gradients. Gayen et al (2020a) used aluminum oxide (Al 2 O 3 ) and stainless steel to represent the radially Functionally Graded shaft appling power law model. They studied the effects of temperature gradient and gradient index in addition to crack size and crack orientation on the direct and cross-couple local flexibility coefficients in a cracked structure.…”

Section: Introductionmentioning

confidence: 99%

Investigating the Effect of Applying Uniform Distributed Load on the Deflection of Simply Supported Axial - Functionally Graded Beam

Shukur,

Hamad,

Ali

et al. 2023

J. Aerosp. Technol. Manag.

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Axially-functionally graded materials are/ types of traditional composite materials in which the mechanical and physical properties are gradually varied from one end to the other. They were used extensively in industries such as defense, automotive and aerospace because of the ability to design its mechanical and physical properties. Two numerical models are built in this work in order to investigate the deflection of a simply supported beam made by axial-functionally graded material. The first model is the new model and it is built by adopting the Rayleigh Method, while the second model used the Finite-Element technique to build an 1D model utilizing the ANSYS APDL. The mechanical and physical of the axial-functionally graded beam were changed in axial direction according to Power-Law Equation. The new model, based on Rayleigh Method ANSYS-1D model, shows an excellent agreement with the results and available literature. In addition to the validation of the two models, the influences of elastic moduli ratio and material distribution on the maximum static deflection and its position were studied. In ANSYS-1D model, the position of the maximum deflection was deviated from the middle span of A-FG beam and this deviation in position of maximum deflection reduces, as well as increases the index of power-law equation and the elastic moduli ratio (ME-Ratio) when it diverges from 1.

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Section: Introductionmentioning

confidence: 99%