Derivation of the localization and homogenization conditions for electro-mechanically coupled problems

In: Computational Materials Science, Jg. 46 (2009) ; Nr. 3, S. 595-599
ISSN: 0927-0256
Zeitschriftenaufsatz / Fach: Bauwissenschaften
The challenges in high-performance mechatronics and micromechatronics are the modeling, analysis and
design of electro-mechanical systems. Piezoceramics are the prototype of materials which exhibit characteristic
electro-mechanical coupling effects used in a wide range of industrial applications. In complex
designs of piezoceramic devices concentrations of stresses and electric field occur, which may lead to
nonlinear electro-mechanical responses, typical for the large signal range. The challenge in the field of
ferroelectric ceramics is the modeling of the complicated interactions between electrical and mechanical
quantities on the macroscale, which are caused by switching processes on the microscale. In this paper
we derive the basic equations for a possible direct two-scale homogenization procedure of electromechanically
coupled boundary value problems.