基于微极理论细观力学方法,详细分析了近片层γ-TiAl基合金材料有效弹性性能的微结构尺度效应.采用空间角度平均方法处理近片层γ-TiAl基合金中横观各向同性PST(Polysynthetically twinned crystal)颗粒夹杂的空间任意取向分布,并将Mori-Tanaka法推广到微极介质,建立了近片层γ-TiAl基合金材料的有效弹性模量及其尺度效应的分析模型.结果表明:当PST夹杂颗粒直径尺度a与微极基体材料(等轴γ颗粒)的特征长度lm相当时,合金材料的有效弹性模量的大小将受到夹杂PST颗粒大小的影响,夹杂颗粒尺度减小,有效弹性模量增大;而当PST夹杂颗粒直径a与微极基体材料的特征长度lm相比很大时,微极理论对有效弹性模量预测的结果将趋近于采用传统Cauchy介质理论预测的结果.
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