TY - CHAP

T1 - The method of fundamental solutions for thermoelastic analysis of functionally graded materials

AU - Wang, Hui

AU - Qin, Qing Hua

PY - 2011

Y1 - 2011

N2 - 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 chapter, the analog equation method is used to obtain an equivalent homogeneous system to the original nonhomogeneous governing equation, after which radial basis functions and fundamental solutions are used to construct the related approximated solutions of particular part and complementary part, respectively. Finally, all unknowns are determined by satisfying the governing equations at interior points and boundary conditions at boundary points. Numerical experiments are performed for different 2D functionally graded material problems, and the meshless method described in this chapter is validated by comparing available analytical and numerical results.

AB - 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 chapter, the analog equation method is used to obtain an equivalent homogeneous system to the original nonhomogeneous governing equation, after which radial basis functions and fundamental solutions are used to construct the related approximated solutions of particular part and complementary part, respectively. Finally, all unknowns are determined by satisfying the governing equations at interior points and boundary conditions at boundary points. Numerical experiments are performed for different 2D functionally graded material problems, and the meshless method described in this chapter is validated by comparing available analytical and numerical results.

KW - Analog equation method

KW - Functionally graded materials

KW - Method of fundamental solutions

KW - Radial basis functions

KW - Thermoelasticity

UR - http://www.scopus.com/inward/record.url?scp=84895245994&partnerID=8YFLogxK

M3 - Chapter

SN - 9781612096162

SP - 123

EP - 156

BT - Functionally Graded Materials

PB - Nova Science Publishers, Inc.

ER -