
Analytical Solutions for
Thermal/Mechanical Stresses in Functionally Graded Hollow Cylinder with Finite Length
Shao Zhushan
(Key Laboratory for the Strength and Vibration of Mechanical Structures, School of
Aerospace, Xi'an Jiaotong University, Xi'an, 710049, China)
Abstract: Adopting series method of
differential equations, the analytical solutions for temperature and thermal/mechanical
stresses of a functionally graded hollow cylinder with finite lenghth are derived, which
is simply supported at its two ends, the constitutive material properties are assumed
temperature-independ ent and exponentially variable
along thickness direction. As an example, the whole field results of a hollow cylinder
made of molybdenum and mullite are graphically presented.
Keywords: Functionally graded circular hollow cylinder with finite
length, therm al/mechanical loads, analytical solution.