The classical formulae of piezoelectric and electrostriction effects i
n crystals are generalized to quasicrystals. Two types of strain (phon
on strain and phason strain) induced by electric fields have been stud
ied. According to group representation theory, the matrix forms of pie
zoelectric and electrostriction tensors of two-dimensional pentagonal,
octagonal, decagonal, dodecagonal and three-dimensional icosahedral c
ubic quasicrystals are given. If one takes the external field as a mag
netic field, these tensors can also be used to describe magnetoelastic
effects in quasicrystals.