An extended Mori-Tanaka model for the elastic moduli of porous materials of finite size

作者：Gong, S.; Li, Z.^*; Zhao, Y. Y.

来源：Acta Materialia, 2011, 59(17): 6820-6830.

DOI：10.1016/j.actamat.2011.07.041

• Porous materials
• Elastic modulus
• Specimen size
• Sintering-evaporation process

The stepped equivalent substitution approach has been applied to extend the Mori-Tanaka model for predicting the elastic behavior of porous materials. A semi-infinite domain mechanics model has been developed to determine the Eshelby's tensors of the surface regions. The extended Mori-Tanaka model takes into account the effects of pore size, pore number and sample size. The model shows that: the elastic modulus of porous materials decreases with increasing porosity, with increasing number of pores, and with increasing difference between the pore sizes; the elastic modulus of porous materials is reduced when the ratio of sample diameter to average pore size is less than 20; micropores in excess of 5% can reduce the anisotropy of the elastic behavior in porous materials with oriented oblate spheroid macropores. The predicted elastic modulus values are in good agreement with the experimental data for a porous CuAlMn shape memory alloy containing oriented oblate spheroid pores of different specimen size, porosity (25-70%) and pore size, manufactured by the sintering-evaporation process.

• 出版日期2011-10
• 单位中南大学