scholarly journals A Review Paper on Comparison of Numerical Techniques for Finding Approximate Solutions to Boundary Value Problems on Post-Buckling in Functionally Graded Materials

2015 ◽  
Vol 2 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Elias Randjbaran ◽  
Rizal Zahari ◽  
Ramin Vaghei ◽  
Farrokh Karamizadeh
Keyword(s):  
Boundary Value Problems ◽  
Functionally Graded Materials ◽  
Review Paper ◽  
Boundary Value ◽  
Approximate Solutions ◽  
Functionally Graded ◽  
Numerical Techniques ◽  
Graded Materials ◽  
Post Buckling

A New Method for Nonlinear Two-Point Boundary Value Problems in Solid Mechanics

2001 ◽  
Vol 68 (5) ◽  
pp. 776-786 ◽  
Author(s):  
L. S. Ramachandra ◽  
D. Roy
Keyword(s):  
Boundary Value Problems ◽  
Vector Fields ◽  
Solid Mechanics ◽  
Boundary Value ◽  
Approximate Solutions ◽  
Algebraic Equations ◽  
Nonlinear Odes ◽  
Post Buckling ◽  
Independent Variable ◽  
Solution Parameters

A local and conditional linearization of vector fields, referred to as locally transversal linearization (LTL), is developed for accurately solving nonlinear and/or nonintegrable boundary value problems governed by ordinary differential equations. The locally linearized vector field is such that solution manifolds of the linearized equation transversally intersect those of the nonlinear BVP at a set of chosen points along the axis of the only independent variable. Within the framework of the LTL method, a BVP is treated as a constrained dynamical system, which in turn is posed as an initial value problem. (IVP) In the process, the LTL method replaces the discretized solution of a given system of nonlinear ODEs by that of a system of coupled nonlinear algebraic equations in terms of certain unknown solution parameters at these chosen points. A higher order version of the LTL method, with improved path sensitivity, is also considered wherein the dimension of the linearized equation needs to be increased. Finally, the procedure is used to determine post-buckling equilibrium paths of a geometrically nonlinear column with and without imperfections. Moreover, deflections of a tip-loaded nonlinear cantilever beam are also obtained. Comparisons with exact solutions, whenever available, and other approximate solutions demonstrate the remarkable accuracy of the proposed LTL method.

Thermal Post-Buckling of Laminated Plates Comprising Functionally Graded Materials With Temperature-Dependent Properties

2004 ◽  
Vol 71 (6) ◽  
pp. 839-850 ◽  
Author(s):  
K. M. Liew ◽  
J. Yang ◽  
S. Kitipornchai
Keyword(s):  
Functionally Graded Materials ◽  
Differential Quadrature Method ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Laminated Plates ◽  
Effect Of Temperature ◽  
Temperature Dependent ◽  
Graded Materials ◽  
Post Buckling ◽  
Temperature Dependent Properties

This paper presents thermal buckling and post-buckling analyses for moderately thick laminated rectangular plates that contain functionally graded materials (FGMs) and subjected to a uniform temperature change. The theoretical formulation employs the first-order shear deformation theory and accounts for the effect of temperature-dependent thermoelastic properties of the constituent materials and initial geometric imperfection. The principle of minimum total potential energy, the differential quadrature method, and iterative algorithms are used to obtain critical buckling temperatures and the post-buckling temperature-deflection curves. The results are presented for both symmetrically and unsymmetrically laminated plates with ceramic/metal functionally graded layers, showing the effects of temperature-dependent properties, layup scheme, material composition, initial imperfection, geometric parameters, and boundary conditions on buckling temperature and thermal post-buckling behavior.

scholarly journals Module for wireless communication in aerospace vehicles

2021 ◽  
Vol 33 ◽  
pp. 195-209
Author(s):  
Adelina Miteva ◽  
Anna Bouzekova-Penkova
Keyword(s):  
Wireless Communication ◽  
Literature Review ◽  
Functionally Graded Materials ◽  
Review Paper ◽  
Critical Discussion ◽  
Functionally Graded ◽  
Aerospace Vehicles ◽  
Graded Materials ◽  
Potential Applications ◽  
The Subject

Functionally graded materials (FGMs) are currently the subject of great and ever-growing interest from industry and science, and are widely used due to their advantages. These advantages are due to their unique properties and, therefore, their many real and potential applications in various fields of industry, science and everyday life. In this literature review paper, we will briefly focus on some of the properties of FGMs and on some of the existing and expanding future applications of FGM in aerospace and related industries. A critical discussion is presented. Possible future expansion of work in this area is being considered.

Dynamic Analysis with Stress Recovery for Functionally Graded Materials: Numerical Simulation and Experimental Benchmarking

2014 ◽  
Vol 2 (1) ◽  
pp. 21
Author(s):  
Carlos Alberto Dutra Fraga Filho ◽  
Fernando César Meira Menandro ◽  
Rivânia Hermógenes Paulino de Romero ◽  
Juan Sérgio Romero Saenz
Keyword(s):  
Numerical Simulation ◽  
Dynamic Analysis ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Stress Recovery ◽  
Graded Materials
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