摘要
用有限元和有限差分法,分析了由ZrO2和Ti 6Al 4V组成的梯度功能材料板的瞬态热应力问题,检验了方法的正确性,给出了不同力学边界条件下该材料板的瞬态热应力场分布。结果表明:无限自由长板内的热应力最小;当无限长板只能伸长,不能弯曲时,板内瞬态拉应力最大,比无限自由长板时板内最大拉应力增大3.3倍;当无限长板的伸长、弯曲受限时,板内的瞬态压应力最大,比无限自由长板内的最大压应力增大5.1倍;此外,对流换热系数和环境介质温度的变化对不同力学边界条件下该材料板瞬态热应力场的影响显著。此结果为该材料的设计和应用提供了准确的理论计算依据。
The transient thermal stresses in the plate of a functionally gradient material(ZrO_2 and Ti-6Al-4V)(FGM) was analyzed by the finite element method(FEM) and the finite difference method (FDM).At the same time, the accuracy of this method was examined. Finally, the stress distributions under the differently mechanical boundary conditions were obtained. The numerical results show that the stresses in the infinitely long traction-free plate of FGMs are the smallest. When the bending of the plate is only limited, the tensile stresses are maximum, and the maximum tensile stresses are 4.3 times as large as those in the infinitely long traction-free plate. When the elongation and the bending of the plate are limited, the compressive stresses are maximum, and the maximum compressive stresses are 6.1 times as large as those in the infinitely long traction-free plate. In addition, the stress distributions are substantially changed with the change of the temperature of the surrounding medium and the convective heat transfer coefficients. The results provide the foundations of theory calculation for the design and application of the material.
出处
《中国稀土学报》
CAS
CSCD
北大核心
2003年第z1期199-203,共5页
Journal of the Chinese Society of Rare Earths
基金
河北省教育厅资助项目(2003136)
关键词
梯度功能材料板
瞬态热应力
力学边界
对流换热边界
有限元法
FGM plate
transient thermal stress
mechanical boundary
convective heat transfer boundary
finite element method
