对梯度材料球罐承压条件下的热弹性响应进行分析,通过求解应力控制方程分别考察不同弹性梯度因子和温差梯度因子对球罐中应力分布的影响。分析结果表明,即使不考虑梯度温差应力的影响,梯度材料球罐的最大环向应力也不总在球罐的最内层,而是取决于材料的弹性梯度分布;并且,不同球罐壁厚下,弹性梯度因子对球罐应力分布的影响作用也明显不同。随着温差梯度因子的增加,球罐中径向应力将从完全受压状态转变为部分受拉状态,而球罐内外壁的环向应力差值也随之增大。
The stress distribution in a spherical tank of functionally graded materials (FGMs) is investigated under thermal-mechanical load. By solving the stress governing equations, the effects of graded factors on the stress distribution are systematically examined and the analytical results show that the stress distribution in FGMs spherical tank has a great difference from that in the homogeneous materials. Even taking no account of temperature graded factor, the maximum circumferential stress is not always occurred at the inner surface, and it is determined by the distribution of elastic properties along the spherical wall. In addition the influences of the graded factors on the stress distribution have a close relationship to the wall thickness of the spherical tank. With the increment of temperature graded factor the radial stress in spherical tank changes from a completely compressive state into a partly tensile state and the difference of circumferential stress between inner surface and outer surface is increased.