Functionally Graded Polymers and Elastomers-Overview.

Functionally Graded Media

Functionally Graded Materials

Thermoelastic simulation of functionally graded materials is practically important for engineers. Here, the extension and assembly of our two previous papers (Computational Mechanics 2006, 38, p51-60; Engineering Analysis with Boundary Elements 2008, 32, p704-712) is presented to evaluate the transient temperature and stress distributions in two-dimensional functionally graded solids. In this c...

Functionally Graded Rapid Prototyping

Functionally Graded Rapid Prototyping (FGRP) is a novel design approach and technological framework enabling the controlled spatial variation of material properties through continuous gradients in functional components. Such variations are traditionally achieved as discrete delineations in physical behavior by fabricating multiple parts comprised of different materials, and assembling them only...

On functionally graded balls and cones

The heat equation, for both steady and unsteady situations, is considered when the material parameters are spherically symmetric functions of position. Explicit separated solutions are derived when the material parameters are exponential functions; the radial part of these solutions is given in terms of confluent hypergeometric functions or Whittaker functions. In the steady case, explicit solu...

Fundamental Solutions and Functionally Graded Materials

A fundamental solution (or Green’s function) is a singular solution of a governing partial differential equation (PDE). They can be constructed easily when the PDE has constant coefficients. They are useful for reducing boundary-value problems to boundary integral equations (BIEs). We begin by describing simple properties of fundamental solutions, and then comment on the use and construction of...