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梯度功能材料的优化设计,可以转化为梯度分布函数的设计.采用幂函数来描述梯度分布,使材料优化问题简化为该幂指数(称为梯度指数)的优化.对梯度功能涂层-基底结构的剥落现象进行了分析,推广了文献[9]的结果,给出了在梯度功能涂层的基底中平行于界面稳态扩展的裂纹的能量释放率和应力强度因子的解析表达式,并由此计算了最优的梯度分布指数.同时,还讨论了梯度功能涂层耐高温抗氧化性能与热应力缓和之间的关系.

参考文献

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[4] Jin Z H, Noda N. Transient thermal stress intensity factors for a crack in a semi-infinite plate of a functionally gradient material. Int J Solids Structures, 1994,31:203~218
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[6] 张联盟, 唐新峰, 陈福义, 等. MgO/Ni系梯度功能材料的设计与制备. 硅酸盐学报, 1993,21:406~411
[7] 唐新峰, 张联盟. 袁润章. PSZ/Mo系梯度功能材料的热应力缓和设计与制备. 硅酸盐学报, 1994,22:44~49
[8] Bao G, Wang L. Multiple cracking in functionally graded ceramic/metal coatings. Int J Solids Structures, 1995, 32:2853~2871
[9] Drory M D, Thouless M D, Evans A G. On the decohesion of residually stressed thin films. Acta Met, 1988, 36:2019~2028
[10] Tanigawa Y. Some basic thermoelastic problems for nonhomogeneous structural materials. Appl Mech Rev, 1995, 48:287~300
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