Year-end Sale % OFF 
Abstract
In this paper, we study the analysis of the large beam deformation (FGM) under the uniform transverse loading. The mechanical properties of the beam including the modulus of elasticity and the Poisson coefficient are a function of the thickness of the beam (The Power Distribution Law). Principle equations for the FG-beams are obtained using the Von-Carmen theory for large deformities. The results are obtained by minimizing the total potential energy and solving it. The numerical examples are presented for this method. In this paper, the effect of material properties on the stress basin is examined from a thickness perspective. It discusses the effects of nonlinear terms in strain-relational relations.
Highlights
For the first time in 1980, Functionally Graded Materials were reported as advanced composite materials
Analysis of the large beam deformation is performed as a graded function (FGM)
Momeni et al [6] presents a size-dependent formulation for the Euler-Bernoulli nano- and micro-beams made of functionally graded materials (FGMs)
Summary
For the first time in 1980, Functionally Graded Materials were reported as advanced composite materials At first, these materials used applications in both nuclear reactors and aerospace structures. Analysis of the large beam deformation is performed as a graded function (FGM). It is obtained by using the Van-Carmen theory for large dislocations under uniform transverse loading. Exact beam theoryis revisited, but the material properties are considered as an arbitrary function of the position on the cross-section of the beam, to derive the governing differential equation system. Justin Murin and et al [8] present a homogenized beam finite element for modal analysis considering a double symmetric cross-section made of a Functionally Graded Material (FGM). Jun Lin and et al [9] simulate geometrically nonlinear bending
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Mapta Journal of Mechanical and Industrial Engineering (MJMIE)
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
