不同变形状态下变物性梯度功能材料板瞬态热应力  

TRANSIENT THERMAL STRESSES OF FUNCTIONALLY GRADIENT MATERIAL PLATE WITH TEMPERATUREDEPENDENT MATERIAL PROPERTIES UNDER DIFFERENT DEFORMATION STATES

作　　者：许杨健[1] 李现敏[1] 文献民[2] 

机构地区：[1]河北工程大学土木工程学院,河北邯郸056038 [2]浙江科技学院土木系,杭州310023

出　　处：《工程力学》2006年第3期49-55,92,共8页Engineering Mechanics

基　　金：河北省教育厅自然科学基金资助项目(2003136)

摘　　要：用非线性有限元法分析了由ZrO2和Ti-6Al-4V组成的变物性梯度功能材料板的对流换热瞬态热应力问题,与已有文献比较检验了方法的正确性,给出了该材料板在不同变形状态下的瞬态热应力分布,并与常物性时的结果进行了比较。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;当无限长板伸长、弯曲受限时,板内的瞬态压应力最大;考虑变物性时的最大拉应力比常物性减小48.9%,最大压应力减小39.6%;此外,对流换热系数的变化对不同变形状态下该变物性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。Taking into account the effect of temperature dependency of material properties, the transient thermal stresses in functionally gradient material （ZrO2 and Ti-6Al-4V）（FGM） plate under convective heat transfer boundary are analyzed by the nonlinear finite element method. The accuracy of this method is examined by comparison with previous references. The stress distributions under the different states of deformation are obtained and compared with the results of constant material properties. The numerical results show that the stresses in the infinitely long traction-free plate of FGMs are the smallest. When the bending of a plate is only limited, the tensile stresses in the plate are maximum. It is also found that the compressive stresses are maximum when the elongation and the bending of a plate are limited. When the temperature dependency of the material properties is considered, the maximum compressive and tensile stresses are 39.6% and 48.9% less than those of the FGMs with constant material properties, respectively. In addition, the stress distributions are influenced substantially by convective heat transfer coefficients. The results of this paper provide the foundations of theory and computation for the design and application of the FGMs.

关 键 词：梯度功能材料板 瞬态热应力 非线性有限元法 变物性 变形状态 对流换热边界 

分 类 号：O343.6[理学—固体力学]