*The further from the defect the stronger electric and mechanical fields - analysis of a Green's function in piezoelectrics*

**Konrad Bojar**

Warsaw University

Faculty of Mathematics, Informatics and Mechanics

`kbojar@piap.pl`

**Abstract**: Conservation laws guarantee that physical effects
are weaker, the further is the source causing these effects, provided that
this source is spatially constrained. On the other hand, there exists a
Green's function of mechanically free piezoeletric plate with a single defect
inducing electric and mechanical fields which diverge to infinity with rising
distance to the defect. Thorough analysis shows that this solution is
correct. Inconsistency with the above mentioned conservation laws has its
roots in the fact that any single defect is in this case neither physically
possible, nor can be seen as mathematical idealization of physically possible
situation. Therefore it can be said that analysis of Green's functions in
physics does not always lead to complete knowledge on linear or linearized
theories.