Please use this identifier to cite or link to this item: http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/4659
Title: Asymptotically Accurate Analytical Solution for Timoshenko-Like Deformation of Functionally Graded Beams
Authors: Amandeep
Singh, S J
Padhee, S S
Keywords: constitutive modeling of materials
elasticity
mechanical properties of materials
stress analysis
functionally graded materials
Issue Date: 3-Jul-2024
Abstract: Abstract A closed-form analytical solution is developed for a planar inhomogeneous beam subjected to transverse loading, using a variational asymptotic method (VAM). The VAM decouples the problem into a cross-sectional and an along-the-length analysis, leading to a set of ordinary differential equations. These equations along with associated boundary conditions have been solved to obtain the closed-form analytical solutions. Three distinct gradation models have been used to validate the present formulation against 3D finite element analysis and few prominent results from the literature. Excellent agreement has been obtained for all the test cases. Key contributions of the present work are (a) the solutions have been obtained without any ad hoc and a priori assumptions and (b) the ordered warping solutions result in Euler–Bernoulli type deformation in the zeroth-order, whereas the higher-order solutions provide novel closed-form expressions for transverse shear strain and stress. Finally, the effect of inhomogeneity on various field variables has been analyzed and discussed.
URI: http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/4659
Appears in Collections:Year-2023

Files in This Item:
File Description SizeFormat 
Full Text.pdf1.42 MBAdobe PDFView/Open    Request a copy


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.