Some computational aspects of homogenization of thermopiezoelectric composites
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.
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
[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
Published
2023-07-14
Issue
pp. 133-154
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Gałka, A., Telega, J. J., & Wojnar, R. (2023). Some computational aspects of homogenization of thermopiezoelectric composites. Computer Assisted Methods in Engineering and Science, 3(2), 133-154. https://cames3.ippt.pan.pl/index.php/cames/article/view/1453
