Abstract This paper presents a homogenization study of porous piezoelectric materials through analytical and numerical analysis. Using two of the most well-known analytical methods for theoretical homogenization, the Mori–Tanaka and… Click to show full abstract
Abstract This paper presents a homogenization study of porous piezoelectric materials through analytical and numerical analysis. Using two of the most well-known analytical methods for theoretical homogenization, the Mori–Tanaka and self-consistent schemes, the full set of material properties are obtained. These results are compared to two different theoretical bounds, the Halpin–Tsai and Hashin–Sthrikman bounds. A numerical model of a representative volume element is then developed using finite element analysis for different percentages of inclusions. Finally, the analytical and numerical results are compared and discussed; a good agreement between the analytical and numerical methods is shown.
               
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