Consider the thermoelastic problem in spherical coordinates (R, , ); see Fig. 1.6. For the case of spherical symmetry where all field quantities depend only

Consider the thermoelastic problem in spherical coordinates (R, ∅, θ); see Fig. 1.6. For the case of spherical symmetry where all field quantities depend only on the radial coordinate R, develop the general solution:

Fig 1.6

OR = 1 C MR = 1 + 2/ *TedE+ CR + 2/ UR R 2E -R 1-VR^ Td +- 06 = 08= EC1 1 - 2v E 1 R 1-V R ^T3d +- 2EC2 1 1+vR EC1 EC 1 1+vR -+ 1-2v ET Note that any convenient lower limit may be placed on the integral terms to aid in problem solution.