Theories and Analysis of Functionally Graded Beams

descriptionPublicationkeyboard_double_arrow_right Article 03 Aug 2021 Italy English Publisher:MDPI AGJournal:Applied Sciences, volume 11, page 7,159 (eissn: 2076-3417,

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Authors: J. N. Reddy; Eugenio Ruocco; Jose A. Loya; Ana M. A. Neves;

doi: 10.3390/app11157159

handle: 10016/35399 , 11591/453603

Theories and Analysis of Functionally Graded Beams

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Abstract

This is a review paper containing the governing equations and analytical solutions of the classical and shear deformation theories of functionally graded straight beams. The classical, first-order, and third-order shear deformation theories account for through-thickness variation of two-constituent functionally graded material, modified couple stress (i.e., strain gradient), and the von Kármán nonlinearity. Analytical solutions for bending of the linear theories, some of which are not readily available in the literature, are included to show the influence of the material variation, boundary conditions, and loads.

Country

Italy

Related Organizations

Carlos III University of Madrid
Spain
The University of Texas System
United States
Universidade Lusófona do Porto
Portugal
University of Campania "Luigi Vanvitelli"
Italy

Keywords

Technology, QH301-705.5, functionally graded structures, QC1-999, shear deformation theories, Numerical Results, Modified Couple Stress, Biology (General), QD1-999, Classical Theory, Ingeniería Mecánica, modified couple stress, Beams, T, Physics, Functionally Graded Structures, Engineering (General). Civil engineering (General), analytical solutions, Shear Deformation Theories, Chemistry, classical theory, beams, Analytical Solutions, analytical solutions; beams; classical theory; shear deformation theories; functionally graded structures; modified couple stress; numerical results, TA1-2040

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