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 -