Some computational aspects of homogenization of thermopiezoelectric composites

Andrzej Gałka; Józef Joachim Telega; Ryszard Wojnar

Andrzej Gałka Institute of Fundamental Technological Research Polish Academy of Sciences
Józef Joachim Telega Institute of Fundamental Technological Research Polish Academy of Sciences
Ryszard Wojnar Institute of Fundamental Technological Research Polish Academy of Sciences

Abstract

On the basis of the paper [1] two topics are discussed. Firstly, exact formulae for the homogenized coefficients of a layered thermopiezoelectric composite are derived. Secondly, by applying the Ritz method, the local problems are solved approximately. Specific cases are also examined and illustrated.

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References

[1] A. Gałka, J.J. Telega and R. Wojnar. Homogenization and thermopiezoelectricity. Mech. Res. Comm., 19: 315- 324, 1992.
[2] J.J. Telega. Piezoelectricity and homogenization. Application to biomechanics. In: G.A. Maugin, ed. Continuum Models and Discrete Systems, Vol. 2, 220-229, Longman, Essex, 1991.
[3] N. Turbé and G.A. Maugin. On the linear piezoelectricity of composite materials. Math. Meth.in the Appl. Sci., 14: 403- 412, 1991.
[4] Y. Benveniste. The determination of the elastic and electric fields in a piezoelectric inhomogeneity. J. Appl. Phys., 72: 1086- 1095, 1992.
[5] Y. Benveniste. Universal relations in piezoelectric composites with eigenstress and polarization fields, Part I: Binary media - local fields and effective behavior. J. Appl. Mech., 60: 265-269, 1993; Part II: Multiphase media - effective behavior, ibid., 270-275

Some computational aspects of homogenization of thermopiezoelectric composites

Abstract

Keywords

References

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