Piezoelasticity

Equations of piezoelasticity are obtained (2002-2005) [1, 2]. These equations contain as particular cases several theories, two among them are new. The proposed general theory is based on the model of micro-polar continuum. The main equations are derived from the fundamental laws of the Eulerian mechanics. These equations contain nonsymmetric tensors of stress and couple stress.
  1. Kolpakov Ja. E., Zhilin P.A. Generalized continuum and linear theory of the piezoelectric materials // Proceedings of XXIX Summer School - Conference “Advanced Problems in Mechanics”, St. Petersburg, Russia, 2002. P. 364-375.
  2. Zhilin P.A., Kolpakov Ya.E. A micro-polar theory for piezoelectric materials // Lecture at XXXIII Summer School - Conference “Advanced Problems in Mechanics”, St. Petersburg, Russia, 2005.